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2132311312131 = 3711132371476217
BaseRepresentation
bin11111000001110111101…
…010001000011100000011
321112211212102220220202220
4133001313222020130003
5234413433143442011
64311323103342123
7310024443046530
oct37016752103403
97484772826686
102132311312131
11752343167a30
122a530a8b1943
131260cb241c00
14752c0ccdd87
153a6edbe9506
hex1f077a88703

2132311312131 has 96 divisors (see below), whose sum is σ = 3941998069248. Its totient is φ = 994851486720.

The previous prime is 2132311312099. The next prime is 2132311312133. The reversal of 2132311312131 is 1312131132312.

It is not a de Polignac number, because 2132311312131 - 25 = 2132311312099 is a prime.

It is a super-2 number, since 2×21323113121312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2132311312133) 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, 706335 + ... + 2182551.

It is an arithmetic number, because the mean of its divisors is an integer number (41062479888).

Almost surely, 22132311312131 is an apocalyptic number.

2132311312131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2132311312131 is a deficient number, since it is larger than the sum of its proper divisors (1809686757117).

2132311312131 is a wasteful number, since it uses less digits than its factorization.

2132311312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476301 (or 1476288 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 2132311312131 its reverse (1312131132312), we get a palindrome (3444442444443).

It can be divided in two parts, 2132311 and 312131, that added together give a palindrome (2444442).

The spelling of 2132311312131 in words is "two trillion, one hundred thirty-two billion, three hundred eleven million, three hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 169 231 259 273 407 429 481 507 777 1001 1183 1221 1443 1859 2849 3003 3367 3549 5291 5577 6253 8547 10101 13013 15873 18759 37037 39039 43771 68783 111111 131313 206349 481481 1444443 1476217 4428651 10333519 16238387 19190821 31000557 48715161 54620029 57572463 113668709 134335747 163860087 211099031 249480673 341006127 382340203 403007241 600820319 633297093 710060377 748442019 1147020609 1477693217 1746364711 1802460957 2130181131 2744287403 4205742233 4433079651 4970422639 5239094133 7810664147 8232862209 9230784901 12617226699 14911267917 19210011821 23431992441 27692354703 54674649029 57630035463 64615494307 101538633911 164023947087 193846482921 304615901733 710770437377 2132311312131