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12011302330131 = 31319157239943037
BaseRepresentation
bin1010111011001001100101…
…1010001001111100010011
31120112021021022101222000010
42232302121122021330103
53033243121344031011
641313525514130003
72346534161151216
oct256623132117423
946467238358003
1012011302330131
113910a68038805
12141ba54a20903
1369187914c7b0
142d74c8aab77d
1515c6952ce1a6
hexaec99689f13

12011302330131 has 64 divisors (see below), whose sum is σ = 18278410752000. Its totient is φ = 6954876504576.

The previous prime is 12011302330127. The next prime is 12011302330133. The reversal of 12011302330131 is 13103320311021.

It is a happy number.

It is not a de Polignac number, because 12011302330131 - 22 = 12011302330127 is a prime.

It is a super-2 number, since 2×120113023301312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12011302330098 and 12011302330107.

It is not an unprimeable number, because it can be changed into a prime (12011302330133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279070945 + ... + 279113981.

It is an arithmetic number, because the mean of its divisors is an integer number (285600168000).

Almost surely, 212011302330131 is an apocalyptic number.

12011302330131 is a deficient number, since it is larger than the sum of its proper divisors (6267108421869).

12011302330131 is a wasteful number, since it uses less digits than its factorization.

12011302330131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45628.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12011302330131 its reverse (13103320311021), we get a palindrome (25114622641152).

The spelling of 12011302330131 in words is "twelve trillion, eleven billion, three hundred two million, three hundred thirty thousand, one hundred thirty-one".

Divisors: 1 3 13 19 39 57 157 247 471 741 2041 2399 2983 6123 7197 8949 31187 38779 43037 45581 93561 116337 129111 136743 376643 559481 592553 817703 1129929 1678443 1777659 2453109 4896359 6756809 7156217 10630139 14689077 20270427 21468651 31890417 87838517 93030821 103245763 128379371 263515551 279092463 309737289 385138113 1342194919 1668931823 1961669497 4026584757 5006795469 5885008491 16209584791 25501703461 48628754373 76505110383 210724602283 307982111029 632173806849 923946333087 4003767443377 12011302330131