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2131231222120 = 23571113411578269
BaseRepresentation
bin11111000000110111010…
…001111010100101101000
321112202002011112122211011
4133000313101322211220
5234404230143101440
64311024001313304
7306655616326210
oct37006721724550
97482064478734
102131231222120
11751939511360
122a5069035834
13125c885426b0
147521b695240
153a688e979ea
hex1f03747a968

2131231222120 has 512 divisors, whose sum is σ = 6638250931200. Its totient is φ = 594343526400.

The previous prime is 2131231222063. The next prime is 2131231222121. The reversal of 2131231222120 is 212221321312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2131231222091 and 2131231222100.

It is not an unprimeable number, because it can be changed into a prime (2131231222121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257733346 + ... + 257741614.

It is an arithmetic number, because the mean of its divisors is an integer number (12965333850).

Almost surely, 22131231222120 is an apocalyptic number.

2131231222120 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 2131231222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3319125465600).

2131231222120 is an abundant number, since it is smaller than the sum of its proper divisors (4507019709080).

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

2131231222120 is a wasteful number, since it uses less digits than its factorization.

2131231222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8509 (or 8505 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 2131231222120 its reverse (212221321312), we get a palindrome (2343452543432).

The spelling of 2131231222120 in words is "two trillion, one hundred thirty-one billion, two hundred thirty-one million, two hundred twenty-two thousand, one hundred twenty".