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31302200013120 = 26325313743220369
BaseRepresentation
bin1110001111000000111001…
…00000110011000101000000
311002211110110010202110100200
413013200130200303011000
513100323401200404440
6150324010540445200
76410336461023201
oct707403440630500
9132743403673320
1031302200013120
119a79208951703
1236166ab549800
131460a28270caa
147a306abb75a8
15394396e1ec30
hex1c781c833140

31302200013120 has 672 divisors, whose sum is σ = 116798441210880. Its totient is φ = 7676845424640.

The previous prime is 31302200013109. The next prime is 31302200013281. The reversal of 31302200013120 is 2131000220313.

31302200013120 is a `hidden beast` number, since 3 + 130 + 220 + 0 + 0 + 1 + 312 + 0 = 666.

It is a super-2 number, since 2×313022000131202 (a number of 28 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 = 31302200013093 and 31302200013102.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 141934296 + ... + 142154664.

Almost surely, 231302200013120 is an apocalyptic number.

31302200013120 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 31302200013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58399220605440).

31302200013120 is an abundant number, since it is smaller than the sum of its proper divisors (85496241197760).

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

31302200013120 is a wasteful number, since it uses less digits than its factorization.

31302200013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220503 (or 220490 counting only the distinct ones).

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

Adding to 31302200013120 its reverse (2131000220313), we get a palindrome (33433200233433).

The spelling of 31302200013120 in words is "thirty-one trillion, three hundred two billion, two hundred million, thirteen thousand, one hundred twenty".