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10023110311131 = 32891491514571217
BaseRepresentation
bin1001000111011010111111…
…1011011111110011011011
31022111012101210100200211200
42101312233323133303123
52303204312214424011
633152315303125243
72053101005632551
oct221665773376333
938435353320750
1010023110311131
113214860517905
12115a667443823
1357923802b538
1426919a533bd1
15125acdc92856
hex91dafedfcdb

10023110311131 has 96 divisors (see below), whose sum is σ = 14881046544000. Its totient is φ = 6499580313600.

The previous prime is 10023110311127. The next prime is 10023110311157. The reversal of 10023110311131 is 13111301132001.

10023110311131 is a `hidden beast` number, since 10 + 0 + 2 + 311 + 0 + 311 + 1 + 31 = 666.

It is not a de Polignac number, because 10023110311131 - 22 = 10023110311127 is a prime.

It is a super-2 number, since 2×100231103111312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10023110311631) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8235915835 + ... + 8235917051.

It is an arithmetic number, because the mean of its divisors is an integer number (155010901500).

Almost surely, 210023110311131 is an apocalyptic number.

10023110311131 is a deficient number, since it is larger than the sum of its proper divisors (4857936232869).

10023110311131 is a wasteful number, since it uses less digits than its factorization.

10023110311131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10023110311131 its reverse (13111301132001), we get a palindrome (23134411443132).

The spelling of 10023110311131 in words is "ten trillion, twenty-three billion, one hundred ten million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 9 89 149 151 267 447 453 457 801 1217 1341 1359 1371 3651 4113 10953 13261 13439 22499 39783 40317 40673 67497 68093 69007 108313 119349 120951 122019 181333 183767 202491 204279 207021 324939 366057 543999 551301 556169 612837 621063 974817 1631997 1653903 1668507 2002411 5005521 6007233 6060277 6141623 10282043 16138637 16355263 18021699 18180831 18424869 27381283 30846129 48415911 49065789 49499041 54542493 55274607 82143849 82869181 83981519 92538387 145247733 147197367 148497123 246431547 248607543 251944557 445491369 745822629 755833671 915101827 2436934187 2745305481 7310802561 7375357109 7474355191 8235916443 12513246331 21932407683 22126071327 22423065573 37539738993 66378213981 67269196719 112619216979 1113678923459 3341036770377 10023110311131