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102145223160 = 23325283736731
BaseRepresentation
bin101111100100001010…
…1000110100111111000
3100202122200020222012100
41133020111012213320
53133143134120120
6114531434343400
710244153033301
oct1371025064770
9322580228170
10102145223160
113a357352002
121796828ab60
13982b0a2666
144d2dd1d7a8
1529cc736490
hex17c85469f8

102145223160 has 48 divisors (see below), whose sum is σ = 331971976440. Its totient is φ = 27238726080.

The previous prime is 102145223101. The next prime is 102145223179. The reversal of 102145223160 is 61322541201.

102145223160 is a `hidden beast` number, since 10 + 21 + 452 + 23 + 160 = 666.

It is a super-2 number, since 2×1021452231602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141868006 + ... + 141868725.

Almost surely, 2102145223160 is an apocalyptic number.

102145223160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102145223160 is an abundant number, since it is smaller than the sum of its proper divisors (229826753280).

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

102145223160 is a wasteful number, since it uses less digits than its factorization.

102145223160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283736748 (or 283736741 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 102145223160 its reverse (61322541201), we get a palindrome (163467764361).

The spelling of 102145223160 in words is "one hundred two billion, one hundred forty-five million, two hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 283736731 567473462 851210193 1134946924 1418683655 1702420386 2269893848 2553630579 2837367310 3404840772 4256050965 5107261158 5674734620 6809681544 8512101930 10214522316 11349469240 12768152895 17024203860 20429044632 25536305790 34048407720 51072611580 102145223160