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21313313232120 = 23335713237450859
BaseRepresentation
bin1001101100010011001000…
…11101101101010011111000
32210110112101110000020001000
410312021210131231103320
510243144131141411440
6113155111222325000
74326556525221150
oct466114435552370
983415343006030
1021313313232120
116877a1a7565a8
1224827b5589760
13bb7ab5631700
145397d99cb760
1526e61c982730
hex13626476d4f8

21313313232120 has 768 divisors, whose sum is σ = 90296076672000. Its totient is φ = 4375328016384.

The previous prime is 21313313232103. The next prime is 21313313232143. The reversal of 21313313232120 is 2123231331312.

21313313232120 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 313 + 2 + 321 + 20 = 666.

It is a super-2 number, since 2×213133132321202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 47047251 + ... + 47498109.

It is an arithmetic number, because the mean of its divisors is an integer number (117573016500).

Almost surely, 221313313232120 is an apocalyptic number.

21313313232120 is a gapful number since it is divisible by the number (20) 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 21313313232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45148038336000).

21313313232120 is an abundant number, since it is smaller than the sum of its proper divisors (68982763439880).

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

21313313232120 is a wasteful number, since it uses less digits than its factorization.

21313313232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450949 (or 450926 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 21313313232120 its reverse (2123231331312), we get a palindrome (23436544563432).

The spelling of 21313313232120 in words is "twenty-one trillion, three hundred thirteen billion, three hundred thirteen million, two hundred thirty-two thousand, one hundred twenty".