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2100001000038 = 232363148714951
BaseRepresentation
bin11110100011110001110…
…100000100101001100110
321102202110200101000000020
4132203301310010221212
5233401300224000123
64244421021300010
7304501660660104
oct36436164045146
97382420330006
102100001000038
1173a6728aa267
1229abb2104606
1312304c334046
14738d7ad0c74
153995c3637e3
hex1e8f1d04a66

2100001000038 has 64 divisors (see below), whose sum is σ = 4391344226304. Its totient is φ = 668232180000.

The previous prime is 2100001000003. The next prime is 2100001000039. The reversal of 2100001000038 is 8300001000012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2100000999990 and 2100001000026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100001000039) 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, 424154463 + ... + 424159413.

It is an arithmetic number, because the mean of its divisors is an integer number (68614753536).

Almost surely, 22100001000038 is an apocalyptic number.

2100001000038 is an abundant number, since it is smaller than the sum of its proper divisors (2291343226266).

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

2100001000038 is a wasteful number, since it uses less digits than its factorization.

2100001000038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10481.

The product of its (nonzero) digits is 48, while the sum is 15.

The spelling of 2100001000038 in words is "two trillion, one hundred billion, one million, thirty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 23 46 69 138 631 1262 1893 3786 4871 4951 9742 9902 14513 14613 14853 29026 29226 29706 43539 87078 112033 113873 224066 227746 336099 341619 672198 683238 3073601 3124081 6147202 6248162 9220803 9372243 18441606 18744486 24116321 48232642 70692823 71853863 72348963 141385646 143707726 144697926 212078469 215561589 424156938 431123178 554675383 1109350766 1664026149 3328052298 15217398551 30434797102 45652195653 91304391306 350000166673 700000333346 1050000500019 2100001000038