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11322131242320 = 2433524593213139
BaseRepresentation
bin1010010011000010001110…
…0111000101110101010000
31111002101101210102022011000
42210300203213011311100
52441000211044223240
640025152034022000
72245665652441233
oct244604347056520
944071353368130
1011322131242320
113675763a12118
12132a37aa17900
13641898336a02
142b1dcba5d41a
151497abc6d430
hexa4c239c5d50

11322131242320 has 160 divisors (see below), whose sum is σ = 39000220790400. Its totient is φ = 3019098064896.

The previous prime is 11322131242309. The next prime is 11322131242333. The reversal of 11322131242320 is 2324213122311.

11322131242320 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 21 + 312 + 4 + 2 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53014311 + ... + 53227449.

It is an arithmetic number, because the mean of its divisors is an integer number (243751379940).

Almost surely, 211322131242320 is an apocalyptic number.

11322131242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11322131242320 is an abundant number, since it is smaller than the sum of its proper divisors (27678089548080).

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

11322131242320 is a wasteful number, since it uses less digits than its factorization.

11322131242320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237754 (or 237742 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11322131242320 its reverse (2324213122311), we get a palindrome (13646344364631).

The spelling of 11322131242320 in words is "eleven trillion, three hundred twenty-two billion, one hundred thirty-one million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 24593 49186 73779 98372 122965 147558 196744 213139 221337 245930 295116 368895 393488 426278 442674 491860 590232 639417 664011 737790 852556 885348 983720 1065695 1106685 1180464 1278834 1328022 1475580 1705112 1770696 1918251 1967440 2131390 2213370 2557668 2656044 2951160 3197085 3320055 3410224 3541392 3836502 4262780 4426740 5115336 5312088 5754753 5902320 6394170 6640110 7673004 8525560 8853480 9591255 10230672 10624176 11509506 12788340 13280220 15346008 17051120 17706960 19182510 23019012 25576680 26560440 28773765 30692016 38365020 46038024 51153360 53120880 57547530 76730040 92076048 115095060 153460080 230190120 460380240 5241727427 10483454854 15725182281 20966909708 26208637135 31450364562 41933819416 47175546843 52417274270 62900729124 78625911405 83867638832 94351093686 104834548540 125801458248 141526640529 157251822810 188702187372 209669097080 235877734215 251602916496 283053281058 314503645620 377404374744 419338194160 471755468430 566106562116 629007291240 707633202645 754808749488 943510936860 1132213124232 1258014582480 1415266405290 1887021873720 2264426248464 2830532810580 3774043747440 5661065621160 11322131242320