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100561879128 = 23324117386217
BaseRepresentation
bin101110110100111110…
…1001000000001011000
3100121120022220202111210
41131221331020001120
53121422320113003
6114110354023120
710160005604034
oct1355175100130
9317508822453
10100561879128
1139714617217
12175a5b77aa0
13963804bbb9
144c1d9231c4
152938727503
hex1769f48058

100561879128 has 32 divisors (see below), whose sum is σ = 252447885360. Its totient is φ = 33381534720.

The previous prime is 100561879081. The next prime is 100561879129. The reversal of 100561879128 is 821978165001.

It is a happy number.

It is a super-2 number, since 2×1005618791282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100561879129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8687325 + ... + 8698892.

Almost surely, 2100561879128 is an apocalyptic number.

It is an amenable number.

100561879128 is an abundant number, since it is smaller than the sum of its proper divisors (151886006232).

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

100561879128 is a wasteful number, since it uses less digits than its factorization.

100561879128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17386467 (or 17386463 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 48.

The spelling of 100561879128 in words is "one hundred billion, five hundred sixty-one million, eight hundred seventy-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 241 482 723 964 1446 1928 2892 5784 17386217 34772434 52158651 69544868 104317302 139089736 208634604 417269208 4190078297 8380156594 12570234891 16760313188 25140469782 33520626376 50280939564 100561879128