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31311113100 = 22352372820821
BaseRepresentation
bin11101001010010010…
…011010101110001100
32222211010101100102120
4131022102122232030
51003111121104400
622214545452540
72155630033011
oct351222325614
988733340376
1031311113100
1112308341783
12609a041150
132c4cbc1477
14173061d708
15c33cb1ca0
hex74a49ab8c

31311113100 has 72 divisors (see below), whose sum is σ = 93041992848. Its totient is φ = 8123961600.

The previous prime is 31311113069. The next prime is 31311113101. The reversal of 31311113100 is 131111313.

It is a super-2 number, since 2×313111131002 (a number of 22 digits) contains 22 as substring.

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 31311113100.

It is not an unprimeable number, because it can be changed into a prime (31311113101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399311 + ... + 1421510.

Almost surely, 231311113100 is an apocalyptic number.

31311113100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31311113100 is an abundant number, since it is smaller than the sum of its proper divisors (61730879748).

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

31311113100 is a wasteful number, since it uses less digits than its factorization.

31311113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820875 (or 2820868 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 31311113100 its reverse (131111313), we get a palindrome (31442224413).

The spelling of 31311113100 in words is "thirty-one billion, three hundred eleven million, one hundred thirteen 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 2820821 5641642 8462463 11283284 14104105 16924926 28208210 33849852 42312315 56416420 70520525 84624630 104370377 141041050 169249260 208740754 211561575 282082100 313111131 417481508 423123150 521851885 626222262 846246300 1043703770 1252444524 1565555655 2087407540 2609259425 3131111310 5218518850 6262222620 7827778275 10437037700 15655556550 31311113100