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2131332332121 = 35292671113233
BaseRepresentation
bin11111000000111101010…
…011100111101001011001
321112202100012210120200000
4133000331103213221121
5234404432034111441
64311042012403213
7306661254623436
oct37007523475131
97482305716600
102131332332121
117519905a0843
122a5096a76509
13125ca34844b5
147522ac94b8d
153a692cbb2b6
hex1f03d4e7a59

2131332332121 has 48 divisors (see below), whose sum is σ = 3303968828160. Its totient is φ = 1371366339840.

The previous prime is 2131332332113. The next prime is 2131332332201. The reversal of 2131332332121 is 1212332331312.

2131332332121 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 332 + 3 + 321 + 2 + 1 = 666.

It is not a de Polignac number, because 2131332332121 - 23 = 2131332332113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2131332336121) 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 47 ways as a sum of consecutive naturals, for example, 18765921 + ... + 18879153.

It is an arithmetic number, because the mean of its divisors is an integer number (68832683920).

Almost surely, 22131332332121 is an apocalyptic number.

It is an amenable number.

2131332332121 is a deficient number, since it is larger than the sum of its proper divisors (1172636496039).

2131332332121 is a wasteful number, since it uses less digits than its factorization.

2131332332121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115948 (or 115936 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2131332332121 its reverse (1212332331312), we get a palindrome (3343664663433).

The spelling of 2131332332121 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 27 29 81 87 243 261 783 2349 2671 7047 8013 24039 72117 77459 113233 216351 232377 339699 649053 697131 1019097 2091393 3057291 3283757 6274179 9171873 9851271 18822537 27515619 29553813 88661439 265984317 302445343 797952951 907336029 2722008087 8166024261 8770914947 24498072783 26312744841 73494218349 78938234523 236814703569 710444110707 2131332332121