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31213211100 = 22352372812001
BaseRepresentation
bin11101000100011100…
…111100110111011100
32222120022011102010120
4131010130330313130
51002411040223400
622201131234540
72153330626311
oct350434746734
988508142116
1031213211100
1112268053535
1260712a8a50
132c358338a6
141721616d08
15c2a3c3ca0
hex74473cddc

31213211100 has 72 divisors (see below), whose sum is σ = 92751073968. Its totient is φ = 8098560000.

The previous prime is 31213211069. The next prime is 31213211101. The reversal of 31213211100 is 111231213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31213211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31213211101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394901 + ... + 1417100.

Almost surely, 231213211100 is an apocalyptic number.

31213211100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31213211100 is an abundant number, since it is smaller than the sum of its proper divisors (61537862868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31213211100 is a wasteful number, since it uses less digits than its factorization.

31213211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812055 (or 2812048 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31213211100 its reverse (111231213), we get a palindrome (31324442313).

The spelling of 31213211100 in words is "thirty-one billion, two hundred thirteen million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 2812001 5624002 8436003 11248004 14060005 16872006 28120010 33744012 42180015 56240020 70300025 84360030 104044037 140600050 168720060 208088074 210900075 281200100 312132111 416176148 421800150 520220185 624264222 843600300 1040440370 1248528444 1560660555 2080880740 2601100925 3121321110 5202201850 6242642220 7803302775 10404403700 15606605550 31213211100