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2131222131 = 333159103419
BaseRepresentation
bin111111100000111…
…1101111001110011
312111112021022011000
41333001331321303
513331043102011
6551251253043
7103546042413
oct17701757163
95445238130
102131222131
119a4023805
124b58aa183
1327c7001ac
14163096643
15c7183356
hex7f07de73

2131222131 has 64 divisors (see below), whose sum is σ = 3354624000. Its totient is φ = 1335359520.

The previous prime is 2131222117. The next prime is 2131222183. The reversal of 2131222131 is 1312221312.

It is not a de Polignac number, because 2131222131 - 25 = 2131222099 is a prime.

It is a super-2 number, since 2×21312221312 = 9084215543328362322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2131222111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5086240 + ... + 5086658.

It is an arithmetic number, because the mean of its divisors is an integer number (52416000).

Almost surely, 22131222131 is an apocalyptic number.

2131222131 is a deficient number, since it is larger than the sum of its proper divisors (1223401869).

2131222131 is a wasteful number, since it uses less digits than its factorization.

2131222131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2131222131 is about 46165.1614423691. The cubic root of 2131222131 is about 1286.8943844303.

Adding to 2131222131 its reverse (1312221312), we get a palindrome (3443443443).

It can be divided in two parts, 2 and 131222131, that multiplied together give a palindrome (262444262).

The spelling of 2131222131 in words is "two billion, one hundred thirty-one million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 31 59 93 103 177 279 309 419 531 837 927 1257 1593 1829 2781 3193 3771 5487 6077 9579 11313 12989 16461 18231 24721 28737 38967 43157 49383 54693 74163 86211 116901 129471 164079 188387 222489 350703 388413 565161 667467 766351 1165239 1337867 1695483 2299053 2546263 4013601 5086449 6897159 7638789 12040803 20691477 22916367 36122409 68749101 78934153 236802459 710407377 2131222131