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100351804404 = 223191098634679
BaseRepresentation
bin101110101110101101…
…1110000001111110100
3100121000200121212011110
41131131123300033310
53121010030220104
6114033451235020
710151545156215
oct1353533601764
9317020555143
10100351804404
1139616a82a45
1217547748a70
139603678027
144bdda7b40c
15292507ce89
hex175d6f03f4

100351804404 has 96 divisors (see below), whose sum is σ = 249080832000. Its totient is φ = 31356222336.

The previous prime is 100351804391. The next prime is 100351804409. The reversal of 100351804404 is 404408153001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100351804409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21444937 + ... + 21449615.

It is an arithmetic number, because the mean of its divisors is an integer number (2594592000).

Almost surely, 2100351804404 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 100351804404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124540416000).

100351804404 is an abundant number, since it is smaller than the sum of its proper divisors (148729027596).

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

100351804404 is a wasteful number, since it uses less digits than its factorization.

100351804404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 100351804404 its reverse (404408153001), we get a palindrome (504759957405).

The spelling of 100351804404 in words is "one hundred billion, three hundred fifty-one million, eight hundred four thousand, four hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 218 228 327 436 654 863 1308 1726 2071 2589 3452 4142 4679 5178 6213 8284 9358 10356 12426 14037 16397 18716 24852 28074 32794 49191 56148 65588 88901 94067 98382 177802 188134 196764 266703 282201 355604 376268 510011 533406 564402 1020022 1066812 1128804 1530033 1787273 2040044 3060066 3574546 4037977 5361819 6120132 7149092 8075954 9690209 10723638 12113931 16151908 19380418 21447276 24227862 29070627 38760836 48455724 58141254 76721563 116282508 153443126 230164689 306886252 440139493 460329378 880278986 920658756 1320418479 1760557972 2640836958 5281673916 8362650367 16725300734 25087951101 33450601468 50175902202 100351804404