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313212100131 = 3472397247603
BaseRepresentation
bin1001000111011001110…
…01010101111000100011
31002221110021211020220000
410203230321111320203
520112424244201011
6355515422151043
731425454631610
oct4435471257043
91087407736800
10313212100131
11110918079717
1250852122483
13236c7133338
1411233b1d507
15823255a356
hex48ece55e23

313212100131 has 80 divisors (see below), whose sum is σ = 563728940544. Its totient is φ = 169431077376.

The previous prime is 313212100121. The next prime is 313212100171. The reversal of 313212100131 is 131001212313.

313212100131 is a `hidden beast` number, since 3 + 1 + 321 + 210 + 0 + 131 = 666.

313212100131 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 313212100131 - 210 = 313212099107 is a prime.

It is a super-2 number, since 2×3132121001312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313212100121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1141176 + ... + 1388778.

Almost surely, 2313212100131 is an apocalyptic number.

313212100131 is a deficient number, since it is larger than the sum of its proper divisors (250516840413).

313212100131 is a wasteful number, since it uses less digits than its factorization.

313212100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247742 (or 247733 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 313212100131 its reverse (131001212313), we get a palindrome (444213312444).

The spelling of 313212100131 in words is "three hundred thirteen billion, two hundred twelve million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 23 27 63 69 81 97 161 189 207 291 483 567 621 679 873 1449 1863 2037 2231 2619 4347 6111 6693 7857 13041 15617 18333 20079 46851 54999 60237 140553 180711 247603 421659 742809 1264977 1733221 2228427 5199663 5694869 6685281 15598989 17084607 20055843 24017491 39864083 46796967 51253821 72052473 119592249 140390901 153761463 168122437 216157419 358776747 461284389 504367311 552402293 648472257 1076330241 1513101933 1657206879 1945416771 3228990723 3866816051 4539305799 4971620637 11600448153 13617917397 14914861911 34801344459 44744585733 104404033377 313212100131