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11231322231792 = 24313232293417299
BaseRepresentation
bin1010001101101111111011…
…1110001101001111110000
31110202201000011020121012210
42203123332332031033300
52433003221442404132
635515333113452120
72236302430542345
oct243337676151760
943681004217183
1011231322231792
1136401a4666493
121314857111040
13636155a284a0
142ab85552c7cc
15147244889bcc
hexa36fef8d3f0

11231322231792 has 160 divisors (see below), whose sum is σ = 32747029056000. Its totient is φ = 3291104019456.

The previous prime is 11231322231763. The next prime is 11231322231793. The reversal of 11231322231792 is 29713222313211.

It is a super-2 number, since 2×112313222317922 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11231322231792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231322231793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1577959 + ... + 4995257.

It is an arithmetic number, because the mean of its divisors is an integer number (204668931600).

Almost surely, 211231322231792 is an apocalyptic number.

11231322231792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11231322231792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16373514528000).

11231322231792 is an abundant number, since it is smaller than the sum of its proper divisors (21515706824208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11231322231792 is a wasteful number, since it uses less digits than its factorization.

11231322231792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3417575 (or 3417569 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The spelling of 11231322231792 in words is "eleven trillion, two hundred thirty-one billion, three hundred twenty-two million, two hundred thirty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 229 276 299 312 368 458 552 598 624 687 897 916 1104 1196 1374 1794 1832 2392 2748 2977 3588 3664 4784 5267 5496 5954 7176 8931 10534 10992 11908 14352 15801 17862 21068 23816 31602 35724 42136 47632 63204 68471 71448 84272 126408 136942 142896 205413 252816 273884 410826 547768 821652 1095536 1643304 3286608 3417299 6834598 10251897 13669196 20503794 27338392 41007588 44424887 54676784 78597877 82015176 88849774 133274661 157195754 164030352 177699548 235793631 266549322 314391508 355399096 471587262 533098644 628783016 710798192 782561471 943174524 1021772401 1066197288 1257566032 1565122942 1886349048 2043544802 2132394576 2347684413 3065317203 3130245884 3772698096 4087089604 4695368826 6130634406 6260491768 8174179208 9390737652 10173299123 12261268812 12520983536 16348358416 17998913833 18781475304 20346598246 24522537624 30519897369 35997827666 37562950608 40693196492 49045075248 53996741499 61039794738 71995655332 81386392984 107993482998 122079589476 143991310664 162772785968 215986965996 233985879829 244159178952 287982621328 431973931992 467971759658 488318357904 701957639487 863947863984 935943519316 1403915278974 1871887038632 2807830557948 3743774077264 5615661115896 11231322231792