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2100100000012 = 2271943632314519
BaseRepresentation
bin11110100011110111101…
…101101110100100001100
321102202201120122201102221
4132203313231232210030
5233402001100000022
64244434515225124
7304504302315550
oct36436755564414
97382646581387
102100100000012
1173a713778423
1229b01b2a81a4
131230669b7601
1473906d01860
1539965dbbcc7
hex1e8f7b6e90c

2100100000012 has 96 divisors (see below), whose sum is σ = 4525110374400. Its totient is φ = 832653525312.

The previous prime is 2100100000001. The next prime is 2100100000039. The reversal of 2100100000012 is 2100000010012.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 2100099999950 and 2100100000004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144637689 + ... + 144652207.

It is an arithmetic number, because the mean of its divisors is an integer number (47136566400).

Almost surely, 22100100000012 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 2100100000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262555187200).

2100100000012 is an abundant number, since it is smaller than the sum of its proper divisors (2425010374388).

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

2100100000012 is a wasteful number, since it uses less digits than its factorization.

2100100000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20915 (or 20913 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 2100100000012 its reverse (2100000010012), we get a palindrome (4200100010024).

The spelling of 2100100000012 in words is "two trillion, one hundred billion, one hundred million, twelve", and thus it is an aban number.

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1634 3268 5719 6323 11438 12646 14519 22876 25292 29038 44261 58076 88522 101633 120137 177044 203266 240274 271889 275861 406532 480548 543778 551722 624317 840959 1087556 1103444 1248634 1681918 1903223 1931027 2497268 3363836 3806446 3862054 4370219 5165891 7612892 7724108 8740438 10331782 11862023 17480876 20663564 23724046 36161237 47448092 72322474 83034161 91803637 144644948 166068322 183607274 332136644 367214548 642625459 1285250918 1744269103 2570501836 3488538206 3947556391 6977076412 7895112782 12209883721 15790225564 24419767442 27632894737 48839534884 55265789474 75003571429 110531578948 150007142858 300014285716 525025000003 1050050000006 2100100000012