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2155462304031 = 3210122739104281
BaseRepresentation
bin11111010111011011100…
…100001010000100011111
321122001121212121011022100
4133113123210022010133
5240303341322212111
64330112233420143
7311504236166661
oct37273344120437
97561555534270
102155462304031
11761143306893
122a98abb6a653
1312834a68959a
1476479884531
153b1063d2756
hex1f5db90a11f

2155462304031 has 24 divisors (see below), whose sum is σ = 3144440173680. Its totient is φ = 1422671184000.

The previous prime is 2155462304011. The next prime is 2155462304041. The reversal of 2155462304031 is 1304032645512.

2155462304031 is a `hidden beast` number, since 2 + 1 + 554 + 6 + 2 + 30 + 40 + 31 = 666.

It is a de Polignac number, because none of the positive numbers 2k-2155462304031 is a prime.

It is a super-3 number, since 3×21554623040313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155462304011) 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 23 ways as a sum of consecutive naturals, for example, 20617611 + ... + 20721891.

It is an arithmetic number, because the mean of its divisors is an integer number (131018340570).

Almost surely, 22155462304031 is an apocalyptic number.

2155462304031 is a deficient number, since it is larger than the sum of its proper divisors (988977869649).

2155462304031 is a wasteful number, since it uses less digits than its factorization.

2155462304031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127127 (or 127124 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 2155462304031 its reverse (1304032645512), we get a palindrome (3459494949543).

The spelling of 2155462304031 in words is "two trillion, one hundred fifty-five billion, four hundred sixty-two million, three hundred four thousand, thirty-one".

Divisors: 1 3 9 101 303 909 22739 68217 104281 204651 312843 938529 2296639 6889917 10532381 20669751 31597143 94791429 2371245659 7113736977 21341210931 239495811559 718487434677 2155462304031