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102212122100 = 225211103902137
BaseRepresentation
bin101111100110001010…
…0010011010111110100
3100202211100010210021212
41133030110103113310
53133312300401400
6114542224300552
710245624463034
oct1371424232764
9322740123255
10102212122100
113a391095190
1217986771758
13983bbc682a
144d38b758c4
1529d354d335
hex17cc5135f4

102212122100 has 72 divisors (see below), whose sum is σ = 244313404608. Its totient is φ = 36807148800.

The previous prime is 102212122097. The next prime is 102212122127. The reversal of 102212122100 is 1221212201.

It is a congruent number.

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, 337769 + ... + 564368.

Almost surely, 2102212122100 is an apocalyptic number.

102212122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212122100 is an abundant number, since it is smaller than the sum of its proper divisors (142101282508).

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

102212122100 is a wasteful number, since it uses less digits than its factorization.

102212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902265 (or 902258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102212122100 its reverse (1221212201), we get a palindrome (103433334301).

The spelling of 102212122100 in words is "one hundred two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 1030 1100 1133 2060 2266 2575 4532 5150 5665 10300 11330 22660 28325 56650 113300 902137 1804274 3608548 4510685 9021370 9923507 18042740 19847014 22553425 39694028 45106850 49617535 90213700 92920111 99235070 185840222 198470140 248087675 371680444 464600555 496175350 929201110 992350700 1022121221 1858402220 2044242442 2323002775 4088484884 4646005550 5110606105 9292011100 10221212210 20442424420 25553030525 51106061050 102212122100