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131023214322000 = 2435371121318110957
BaseRepresentation
bin11101110010101000111000…
…001001011010000101010000
3122011220200211002021110100120
4131302220320021122011100
5114133141020331301000
61142355122251550240
736412054252014540
oct3562507011320520
9564820732243316
10131023214322000
11388256a6797900
121284121545b380
135815589140020
14244d7b3763320
151023333d576a0
hex772a3825a150

131023214322000 has 1920 divisors, whose sum is σ = 574670139423744. Its totient is φ = 24990197760000.

The previous prime is 131023214321977. The next prime is 131023214322019. The reversal of 131023214322000 is 223412320131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11957940522 + ... + 11957951478.

Almost surely, 2131023214322000 is an apocalyptic number.

131023214322000 is a gapful number since it is divisible by the number (10) 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 131023214322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287335069711872).

131023214322000 is an abundant number, since it is smaller than the sum of its proper divisors (443646925101744).

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

131023214322000 is a wasteful number, since it uses less digits than its factorization.

131023214322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11206 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131023214322000 its reverse (223412320131), we get a palindrome (131246626642131).

The spelling of 131023214322000 in words is "one hundred thirty-one trillion, twenty-three billion, two hundred fourteen million, three hundred twenty-two thousand".