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105502212 = 223219154243
BaseRepresentation
bin1100100100111…
…01011000000100
321100112001211100
412102131120010
5204002032322
614245140100
72420516424
oct622353004
9240461740
10105502212
115460a412
122b3ba630
1318b1c05a
1410024484
1593dedac
hex649d604

105502212 has 36 divisors (see below), whose sum is σ = 280724080. Its totient is φ = 33316272.

The previous prime is 105502151. The next prime is 105502247. The reversal of 105502212 is 212205501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1055022122 = 22261433473785888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76438 + ... + 77805.

Almost surely, 2105502212 is an apocalyptic number.

105502212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105502212 is an abundant number, since it is smaller than the sum of its proper divisors (175221868).

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

105502212 is a wasteful number, since it uses less digits than its factorization.

105502212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154272 (or 154267 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 105502212 is about 10271.4269699979. The cubic root of 105502212 is about 472.5203552161.

Adding to 105502212 its reverse (212205501), we get a palindrome (317707713).

The spelling of 105502212 in words is "one hundred five million, five hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 154243 308486 462729 616972 925458 1388187 1850916 2776374 2930617 5552748 5861234 8791851 11722468 17583702 26375553 35167404 52751106 105502212