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200106193537107 = 3211133119925203869
BaseRepresentation
bin101101011111111011011010…
…100101010100100001010011
3222020111222001200111200111100
4231133323122211110201103
5202212014441021141412
61545331303301315443
760102124006430514
oct5537733245244123
9866458050450440
10200106193537107
115883a618548560
121a539b07405b83
138786c18c9aa80
14375b297472a0b
15182034bde0edc
hexb5feda954853

200106193537107 has 96 divisors (see below), whose sum is σ = 352289613312000. Its totient is φ = 107791902662400.

The previous prime is 200106193537093. The next prime is 200106193537127. The reversal of 200106193537107 is 701735391601002.

200106193537107 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 0 + 6 + 1 + 9 + 3 + 537 + 107 = 666.

It is not a de Polignac number, because 200106193537107 - 218 = 200106193274963 is a prime.

It is not an unprimeable number, because it can be changed into a prime (200106193537127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4662432 + ... + 20541437.

It is an arithmetic number, because the mean of its divisors is an integer number (3669683472000).

Almost surely, 2200106193537107 is an apocalyptic number.

200106193537107 is a deficient number, since it is larger than the sum of its proper divisors (152183419774893).

200106193537107 is a wasteful number, since it uses less digits than its factorization.

200106193537107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25204129 (or 25204126 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 200106193537107 in words is "two hundred trillion, one hundred six billion, one hundred ninety-three million, five hundred thirty-seven thousand, one hundred seven".

Divisors: 1 3 9 11 13 31 33 39 93 99 117 143 199 279 341 403 429 597 1023 1209 1287 1791 2189 2587 3069 3627 4433 6169 6567 7761 13299 18507 19701 23283 28457 39897 55521 67859 80197 85371 203577 240591 256113 610731 721773 882167 2646501 7939503 25203869 75611607 226834821 277242559 327650297 781319939 831727677 982950891 2343959817 2495183031 2948852673 3604153267 5015569931 7031879451 8594519329 10157159207 10812459801 15046709793 25783557987 30471477621 32437379403 45140129379 55171269241 65202409103 77350673961 91414432863 111728751277 155482667861 165513807723 195607227309 335186253831 466448003583 496541423169 586821681927 717226500133 1005558761493 1399344010749 1710309346471 2021274682193 2151679500399 5130928039413 6063824046579 6455038501197 15392784118239 18191472139737 22234021504123 66702064512369 200106193537107