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11301005205252 = 22327439479321313
BaseRepresentation
bin1010010001110011100001…
…1001101001111100000100
31111000100212111001102102200
42210130320121221330010
52440123424313032002
640011335441434500
72244320305206360
oct244347031517404
944010774042380
1011301005205252
113667802904854
12132626393ba30
1363c8ac593169
142b0d85dbc2a0
15148e72226b1c
hexa4738669f04

11301005205252 has 144 divisors (see below), whose sum is σ = 32730078501120. Its totient is φ = 3220680351744.

The previous prime is 11301005205251. The next prime is 11301005205289. The reversal of 11301005205252 is 25250250010311.

11301005205252 is a `hidden beast` number, since 1 + 1 + 30 + 10 + 0 + 520 + 52 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (11301005205251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530229348 + ... + 530250660.

Almost surely, 211301005205252 is an apocalyptic number.

11301005205252 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 11301005205252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16365039250560).

11301005205252 is an abundant number, since it is smaller than the sum of its proper divisors (21429073295868).

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

11301005205252 is a wasteful number, since it uses less digits than its factorization.

11301005205252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26562 (or 26557 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 11301005205252 its reverse (25250250010311), we get a palindrome (36551255215563).

The spelling of 11301005205252 in words is "eleven trillion, three hundred one billion, five million, two hundred five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 439 878 1317 1756 2634 3073 3951 4793 5268 6146 7902 9219 9586 12292 14379 15804 18438 19172 21313 27657 28758 33551 36876 42626 43137 55314 57516 63939 67102 85252 86274 100653 110628 127878 134204 149191 172548 191817 201306 255756 298382 301959 383634 402612 447573 596764 603918 767268 895146 1207836 1342719 1790292 2104127 2685438 4208254 5370876 6312381 8416508 9356407 12624762 14728889 18712814 18937143 25249524 28069221 29457778 37425628 37874286 44186667 56138442 58915556 65494849 75748572 84207663 88373334 102153209 112276884 130989698 132560001 168415326 176746668 196484547 204306418 261979396 265120002 306459627 336830652 392969094 408612836 530240004 589453641 612919254 715072463 785938188 919378881 1178907282 1225838508 1430144926 1838757762 2145217389 2357814564 2860289852 3677515524 4290434778 6435652167 8580869556 12871304334 25742608668 44845258751 89690517502 134535776253 179381035004 269071552506 313916811257 403607328759 538143105012 627833622514 807214657518 941750433771 1255667245028 1614429315036 1883500867542 2825251301313 3767001735084 5650502602626 11301005205252