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101938423860 = 223457132431237
BaseRepresentation
bin101111011110000000…
…0001110100000110100
3100202010021010110220000
41132330000032200310
53132232214030420
6114455130111300
710236062210010
oct1367400164064
9322107113800
10101938423860
113a260645699
121790ab7b530
1397c72a7600
144d1068b540
1529b94d7690
hex17bc00e834

101938423860 has 720 divisors, whose sum is σ = 405274294656. Its totient is φ = 20990721024.

The previous prime is 101938423849. The next prime is 101938423907. The reversal of 101938423860 is 68324839101.

101938423860 is a `hidden beast` number, since 1 + 0 + 193 + 84 + 2 + 386 + 0 = 666.

It is a super-2 number, since 2×1019384238602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 82407162 + ... + 82408398.

Almost surely, 2101938423860 is an apocalyptic number.

101938423860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101938423860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202637147328).

101938423860 is an abundant number, since it is smaller than the sum of its proper divisors (303335870796).

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

101938423860 is a wasteful number, since it uses less digits than its factorization.

101938423860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 101938423860 in words is "one hundred one billion, nine hundred thirty-eight million, four hundred twenty-three thousand, eight hundred sixty".