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1131012142331 = 149191267114879
BaseRepresentation
bin10000011101010101100…
…100111011010011111011
311000010100011212211100212
4100131111210323103323
5122012303102023311
62223325123221335
7144466351405451
oct20352544732373
94003304784325
101131012142331
113a6728961595
1216324581784b
1382866a6c256
143ca541009d1
151e6483a8c8b
hex1075593b4fb

1131012142331 has 16 divisors (see below), whose sum is σ = 1145069568000. Its totient is φ = 1117046191200.

The previous prime is 1131012142327. The next prime is 1131012142339. The reversal of 1131012142331 is 1332412101311.

It is a cyclic number.

It is not a de Polignac number, because 1131012142331 - 22 = 1131012142327 is a prime.

It is a super-3 number, since 3×11310121423313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1131012142297 and 1131012142306.

It is not an unprimeable number, because it can be changed into a prime (1131012142339) 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 15 ways as a sum of consecutive naturals, for example, 76006550 + ... + 76021428.

It is an arithmetic number, because the mean of its divisors is an integer number (71566848000).

Almost surely, 21131012142331 is an apocalyptic number.

1131012142331 is a deficient number, since it is larger than the sum of its proper divisors (14057425669).

1131012142331 is a wasteful number, since it uses less digits than its factorization.

1131012142331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17890.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 1131012142331 its reverse (1332412101311), we get a palindrome (2463424243642).

The spelling of 1131012142331 in words is "one trillion, one hundred thirty-one billion, twelve million, one hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 149 191 2671 14879 28459 397979 510161 2216971 2841889 39741809 76013989 423441461 5921529541 7590685519 1131012142331