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131001100023420 = 2233511149148013807
BaseRepresentation
bin11101110010010100010010…
…000010000011011001111100
3122011211120201220022200201000
4131302110102002003121330
5114132310223101222140
61142341024033450300
736410342244412044
oct3562242202033174
9564746656280630
10131001100023420
1138817288853a90
1212838a83410990
13581347370c253
14244c6b674c724
15102298c69ca30
hex77251208367c

131001100023420 has 192 divisors, whose sum is σ = 447593755392000. Its totient is φ = 31544702334720.

The previous prime is 131001100023413. The next prime is 131001100023461. The reversal of 131001100023420 is 24320001100131.

131001100023420 is a `hidden beast` number, since 1 + 310 + 0 + 1 + 10 + 0 + 0 + 2 + 342 + 0 = 666.

It is a super-2 number, since 2×1310011000234202 (a number of 29 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 = 131001100023393 and 131001100023402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73121844 + ... + 74891963.

It is an arithmetic number, because the mean of its divisors is an integer number (2331217476000).

Almost surely, 2131001100023420 is an apocalyptic number.

131001100023420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001100023420 is an abundant number, since it is smaller than the sum of its proper divisors (316592655368580).

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

131001100023420 is a wasteful number, since it uses less digits than its factorization.

131001100023420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148013985 (or 148013977 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 131001100023420 its reverse (24320001100131), we get a palindrome (155321101123551).

The spelling of 131001100023420 in words is "one hundred thirty-one trillion, one billion, one hundred million, twenty-three thousand, four hundred twenty".