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2100102000210 = 2325112920668261
BaseRepresentation
bin11110100011110111110…
…101010110111001010010
321102202201201102100012100
4132203313311112321102
5233402002103001320
64244435030141230
7304504325316204
oct36436765267122
97382651370170
102100102000210
1173a714914185
1229b01bab1816
13123067237b66
14739072a2774
1539966164790
hex1e8f7d56e52

2100102000210 has 48 divisors (see below), whose sum is σ = 5465101838040. Its totient is φ = 559531134720.

The previous prime is 2100102000187. The next prime is 2100102000239. The reversal of 2100102000210 is 120002010012.

It can be written as a sum of positive squares in 4 ways, for example, as 1867707622881 + 232394377329 = 1366641^2 + 482073^2 .

It is a super-2 number, since 2×21001020002102 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2100102000192 and 2100102000201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10232521 + ... + 10435740.

Almost surely, 22100102000210 is an apocalyptic number.

2100102000210 is an abundant number, since it is smaller than the sum of its proper divisors (3364999837830).

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

2100102000210 is a wasteful number, since it uses less digits than its factorization.

2100102000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20669403 (or 20669400 counting only the distinct ones).

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

Adding to 2100102000210 its reverse (120002010012), we get a palindrome (2220104010222).

The spelling of 2100102000210 in words is "two trillion, one hundred billion, one hundred two million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1129 2258 3387 5645 6774 10161 11290 16935 20322 33870 50805 101610 20668261 41336522 62004783 103341305 124009566 186014349 206682610 310023915 372028698 620047830 930071745 1860143490 23334466669 46668933338 70003400007 116672333345 140006800014 210010200021 233344666690 350017000035 420020400042 700034000070 1050051000105 2100102000210