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31202331021120 = 26357192101312697
BaseRepresentation
bin1110001100000110110111…
…10110110100111101000000
311002110220200002122000022010
413012003123312310331000
513042204333220133440
6150210053013412520
76400202564424210
oct706033366647500
9132426602560263
1031202331021120
119a3a91a466886
1235bb27963a140
1314544a0940a9c
1479c2b52da240
1539199e462580
hex1c60dbdb4f40

31202331021120 has 672 divisors, whose sum is σ = 119619836114688. Its totient is φ = 6749393485824.

The previous prime is 31202331021107. The next prime is 31202331021131. The reversal of 31202331021120 is 2112013320213.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×312023310211202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2457450612 + ... + 2457463308.

It is an arithmetic number, because the mean of its divisors is an integer number (178005708504).

Almost surely, 231202331021120 is an apocalyptic number.

31202331021120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31202331021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59809918057344).

31202331021120 is an abundant number, since it is smaller than the sum of its proper divisors (88417505093568).

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

31202331021120 is a wasteful number, since it uses less digits than its factorization.

31202331021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13775 (or 13746 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 31202331021120 its reverse (2112013320213), we get a palindrome (33314344341333).

The spelling of 31202331021120 in words is "thirty-one trillion, two hundred two billion, three hundred thirty-one million, twenty-one thousand, one hundred twenty".