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102213024 = 2537431433
BaseRepresentation
bin1100001011110…
…10010110100000
321010022221220120
412011322112200
5202131304044
614050440240
72350540104
oct605722640
9233287816
10102213024
1152773181
122a293080
1318239ba4
14d809904
158e90519
hex617a5a0

102213024 has 48 divisors (see below), whose sum is σ = 268857792. Its totient is φ = 34001408.

The previous prime is 102213019. The next prime is 102213037. The reversal of 102213024 is 420312201.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 102212994 and 102213012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70612 + ... + 72044.

It is an arithmetic number, because the mean of its divisors is an integer number (5601204).

Almost surely, 2102213024 is an apocalyptic number.

It is an amenable number.

102213024 is an abundant number, since it is smaller than the sum of its proper divisors (166644768).

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

102213024 is a wasteful number, since it uses less digits than its factorization.

102213024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 102213024 is about 10110.0456972261. The cubic root of 102213024 is about 467.5579140317.

Adding to 102213024 its reverse (420312201), we get a palindrome (522525225).

The spelling of 102213024 in words is "one hundred two million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 743 1433 1486 2229 2866 2972 4299 4458 5732 5944 8598 8916 11464 11888 17196 17832 22928 23776 34392 35664 45856 68784 71328 137568 1064719 2129438 3194157 4258876 6388314 8517752 12776628 17035504 25553256 34071008 51106512 102213024