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31112332121100 = 22352337307738201
BaseRepresentation
bin1110001001011111001111…
…00000010001010000001100
311002011022100220211012001210
413010233213200101100030
513034221024010333400
6150100450312534420
76360535410411456
oct704574740212014
9132138326735053
1031112332121100
119a0573642716a
1235a59410b1410
131448b5a1153a9
14797bb86072d6
1538e483251950
hex1c4be781140c

31112332121100 has 72 divisors (see below), whose sum is σ = 90285464655568. Its totient is φ = 8272002816000.

The previous prime is 31112332121023. The next prime is 31112332121113. The reversal of 31112332121100 is 112123321113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153768001 + ... + 153970200.

Almost surely, 231112332121100 is an apocalyptic number.

31112332121100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31112332121100 is an abundant number, since it is smaller than the sum of its proper divisors (59173132534468).

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

31112332121100 is a wasteful number, since it uses less digits than its factorization.

31112332121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307738555 (or 307738548 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 31112332121100 its reverse (112123321113), we get a palindrome (31224455442213).

The spelling of 31112332121100 in words is "thirty-one trillion, one hundred twelve billion, three hundred thirty-two million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 337 674 1011 1348 1685 2022 3370 4044 5055 6740 8425 10110 16850 20220 25275 33700 50550 101100 307738201 615476402 923214603 1230952804 1538691005 1846429206 3077382010 3692858412 4616073015 6154764020 7693455025 9232146030 15386910050 18464292060 23080365075 30773820100 46160730150 92321460300 103707773737 207415547474 311123321211 414831094948 518538868685 622246642422 1037077737370 1244493284844 1555616606055 2074155474740 2592694343425 3111233212110 5185388686850 6222466424220 7778083030275 10370777373700 15556166060550 31112332121100