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2100021002010 = 23455774493273
BaseRepresentation
bin11110100011110011000…
…000010111111100011010
321102202112002000012120000
4132203303000113330122
5233401320334031020
64244423014113430
7304502322664641
oct36436300277432
97382462005500
102100021002010
1173a683121018
1229abb894b876
13123053518329
14738da61a358
153995deb5090
hex1e8f3017f1a

2100021002010 has 80 divisors (see below), whose sum is σ = 5656510746216. Its totient is φ = 559034929152.

The previous prime is 2100021001963. The next prime is 2100021002029. The reversal of 2100021002010 is 102001200012.

It can be written as a sum of positive squares in 4 ways, for example, as 2039603853609 + 60417148401 = 1428147^2 + 245799^2 .

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 = 2100021001983 and 2100021002001.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1779267 + ... + 2714006.

Almost surely, 22100021002010 is an apocalyptic number.

2100021002010 is an abundant number, since it is smaller than the sum of its proper divisors (3556489744206).

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

2100021002010 is a wasteful number, since it uses less digits than its factorization.

2100021002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4493869 (or 4493860 counting only the distinct ones).

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

Adding to 2100021002010 its reverse (102001200012), we get a palindrome (2202022202022).

The spelling of 2100021002010 in words is "two trillion, one hundred billion, twenty-one million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 577 810 1154 1731 2885 3462 5193 5770 8655 10386 15579 17310 25965 31158 46737 51930 77895 93474 155790 233685 467370 4493273 8986546 13479819 22466365 26959638 40439457 44932730 67399095 80878914 121318371 134798190 202197285 242636742 363955113 404394570 606591855 727910226 1213183710 1819775565 2592618521 3639551130 5185237042 7777855563 12963092605 15555711126 23333566689 25926185210 38889277815 46667133378 70000700067 77778555630 116667833445 140001400134 210002100201 233335666890 350003500335 420004200402 700007000670 1050010501005 2100021002010