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100136370351141 = 32192316432527997
BaseRepresentation
bin10110110001001011010000…
…110010001010110000100101
3111010112221110211012010211200
4112301023100302022300211
5101111113241302214031
6552550002524353113
730043420415043015
oct2661132062126045
9433487424163750
10100136370351141
11299a7661571413
12b2931239a5799
1343b4a85a46907
141aa28aa373c45
15b89b9ba248e6
hex5b12d0c8ac25

100136370351141 has 24 divisors (see below), whose sum is σ = 152254847865120. Its totient is φ = 63243725338656.

The previous prime is 100136370351133. The next prime is 100136370351229. The reversal of 100136370351141 is 141153073631001.

100136370351141 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 3 + 637 + 0 + 3 + 5 + 1 + 14 + 1 = 666.

It is not a de Polignac number, because 100136370351141 - 23 = 100136370351133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100136370351096 and 100136370351105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100136370351131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38346955 + ... + 40874951.

It is an arithmetic number, because the mean of its divisors is an integer number (6343951994380).

Almost surely, 2100136370351141 is an apocalyptic number.

It is an amenable number.

100136370351141 is a deficient number, since it is larger than the sum of its proper divisors (52118477513979).

100136370351141 is a wasteful number, since it uses less digits than its factorization.

100136370351141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759665 (or 2759662 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 100136370351141 in words is "one hundred trillion, one hundred thirty-six billion, three hundred seventy million, three hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 3 9 19 57 171 231643 694929 2084787 2527997 4401217 7583991 13203651 22751973 39610953 48031943 144095829 432287487 585592809071 1756778427213 5270335281639 11126263372349 33378790117047 100136370351141