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100201136056 = 2373101361549
BaseRepresentation
bin101110101010001110…
…0111111111110111000
3100120122012010010001021
41131110130333332320
53120202442323211
6114010510032224
710145035414000
oct1352434777670
9316565103037
10100201136056
1139549a2464a
12175051a8674
1395ab3a3b68
144bc7a5b000
152916c1a771
hex175473ffb8

100201136056 has 64 divisors (see below), whose sum is σ = 221268600000. Its totient is φ = 42518044800.

The previous prime is 100201136051. The next prime is 100201136071. The reversal of 100201136056 is 650631102001.

It is a self number, because there is not a number n which added to its sum of digits gives 100201136056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201136051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96370 + ... + 457918.

It is an arithmetic number, because the mean of its divisors is an integer number (3457321875).

Almost surely, 2100201136056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201136056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110634300000).

100201136056 is an abundant number, since it is smaller than the sum of its proper divisors (121067463944).

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

100201136056 is a wasteful number, since it uses less digits than its factorization.

100201136056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361677 (or 361659 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

Adding to 100201136056 its reverse (650631102001), we get a palindrome (750832238057).

The spelling of 100201136056 in words is "one hundred billion, two hundred one million, one hundred thirty-six thousand, fifty-six".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 343 392 404 686 707 808 1372 1414 2744 2828 4949 5656 9898 19796 34643 39592 69286 138572 277144 361549 723098 1446196 2530843 2892392 5061686 10123372 17715901 20246744 35431802 36516449 70863604 73032898 124011307 141727208 146065796 248022614 255615143 292131592 496045228 511230286 992090456 1022460572 1789306001 2044921144 3578612002 7157224004 12525142007 14314448008 25050284014 50100568028 100201136056