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10022100202002 = 2372940853201413
BaseRepresentation
bin1001000111010111001110…
…1110001111001000010010
31022111002210101122211121110
42101311303232033020102
52303200230122431002
633152031141034150
72053033662066150
oct221656356171022
938432711584543
1010022100202002
113214392319979
12115a4250b5956
13579106991c25
142691023143d0
15125a70265e6c
hex91d73b8f212

10022100202002 has 64 divisors (see below), whose sum is σ = 23698274561280. Its totient is φ = 2764635896064.

The previous prime is 10022100201991. The next prime is 10022100202087. The reversal of 10022100202002 is 20020200122001.

10022100202002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 49658248 + ... + 49859660.

It is an arithmetic number, because the mean of its divisors is an integer number (370285540020).

Almost surely, 210022100202002 is an apocalyptic number.

10022100202002 is an abundant number, since it is smaller than the sum of its proper divisors (13676174359278).

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

10022100202002 is a wasteful number, since it uses less digits than its factorization.

10022100202002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242307.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022100202002 its reverse (20020200122001), we get a palindrome (30042300324003).

The spelling of 10022100202002 in words is "ten trillion, twenty-two billion, one hundred million, two hundred two thousand, two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 40853 81706 122559 201413 245118 285971 402826 571942 604239 857913 1184737 1208478 1409891 1715826 2369474 2819782 3554211 4229673 5840977 7108422 8293159 8459346 11681954 16586318 17522931 24879477 35045862 40886839 49758954 81773678 122660517 245321034 8228325289 16456650578 24684975867 49369951734 57598277023 115196554046 172794831069 238621433381 345589662138 477242866762 715864300143 1431728600286 1670350033667 3340700067334 5011050101001 10022100202002