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31011323220 = 22325172285129
BaseRepresentation
bin11100111000011010…
…110011110101010100
32222001020021110000200
4130320122303311110
51002002344320340
622125120140500
72145326620023
oct347032636524
988036243020
1031011323220
11121740a1149
126015767730
132c02a681c7
1417028a28ba
15c177e5330
hex7386b3d54

31011323220 has 36 divisors (see below), whose sum is σ = 94067680980. Its totient is φ = 8269686144.

The previous prime is 31011323219. The next prime is 31011323249. The reversal of 31011323220 is 2232311013.

31011323220 is a `hidden beast` number, since 310 + 1 + 1 + 32 + 322 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20982101904 + 10029221316 = 144852^2 + 100146^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×310113232202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31011323193 and 31011323202.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 86142385 + ... + 86142744.

Almost surely, 231011323220 is an apocalyptic number.

31011323220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31011323220 is an abundant number, since it is smaller than the sum of its proper divisors (63056357760).

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

31011323220 is a wasteful number, since it uses less digits than its factorization.

31011323220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172285144 (or 172285139 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31011323220 its reverse (2232311013), we get a palindrome (33243634233).

It can be divided in two parts, 310113 and 23220, that added together give a palindrome (333333).

The spelling of 31011323220 in words is "thirty-one billion, eleven million, three hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 172285129 344570258 516855387 689140516 861425645 1033710774 1550566161 1722851290 2067421548 2584276935 3101132322 3445702580 5168553870 6202264644 7752830805 10337107740 15505661610 31011323220