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100002011002002 = 232137457208142641
BaseRepresentation
bin10110101111001110001000…
…010101111011010010010010
3111010002002200002101000102100
4112233032020111323102102
5101101413104304031002
6552404142321301230
730030623025315654
oct2657161025732222
9433062602330370
10100002011002002
11299556841887aa
12b271087194816
1343a51c2972c65
141a9a1a1d326d4
15b8643610711c
hex5af38857b492

100002011002002 has 96 divisors (see below), whose sum is σ = 218840381111664. Its totient is φ = 33001640755200.

The previous prime is 100002011001923. The next prime is 100002011002039. The reversal of 100002011002002 is 200200110200001.

It can be written as a sum of positive squares in 8 ways, for example, as 74823001700841 + 25179009301161 = 8650029^2 + 5017869^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2345186602 + ... + 2345229242.

Almost surely, 2100002011002002 is an apocalyptic number.

100002011002002 is an abundant number, since it is smaller than the sum of its proper divisors (118838370109662).

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

100002011002002 is a wasteful number, since it uses less digits than its factorization.

100002011002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45324 (or 45321 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100002011002002 its reverse (200200110200001), we get a palindrome (300202121202003).

The spelling of 100002011002002 in words is "one hundred trillion, two billion, eleven million, two thousand, two".

Divisors: 1 2 3 6 9 18 137 274 411 457 822 914 1233 1371 2081 2466 2742 4113 4162 6243 8226 12486 18729 37458 42641 62609 85282 125218 127923 187827 255846 285097 375654 383769 563481 570194 767538 855291 951017 1126962 1710582 1902034 2565873 2853051 5131746 5706102 5841817 8559153 11683634 17118306 17525451 19486937 35050902 38973874 52576353 58460811 88735921 105152706 116921622 130289329 175382433 177471842 260578658 266207763 350764866 390867987 532415526 781735974 798623289 1172603961 1597246578 2345207922 2669710369 5339420738 8009131107 12156821177 16018262214 24027393321 24313642354 36470463531 40552315897 48054786642 72940927062 81104631794 109411390593 121656947691 218822781186 243313895382 364970843073 729941686146 5555667277889 11111334555778 16667001833667 33334003667334 50001005501001 100002011002002