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10106475300 = 2234521518263
BaseRepresentation
bin10010110100110010…
…01001001100100100
3222002100010010210000
421122121021030210
5131144224202200
64350504501300
7505306423365
oct113231111444
928070103700
1010106475300
114316929529
121b6077a830
13c50a8a3cc
146bc35bb6c
153e23e1300
hex25a649324

10106475300 has 180 divisors, whose sum is σ = 32982152896. Its totient is φ = 2676888000.

The previous prime is 10106475259. The next prime is 10106475311. The reversal of 10106475300 is 357460101.

10106475300 is a `hidden beast` number, since 1 + 0 + 10 + 647 + 5 + 3 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1218969 + ... + 1227231.

Almost surely, 210106475300 is an apocalyptic number.

10106475300 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 10106475300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16491076448).

10106475300 is an abundant number, since it is smaller than the sum of its proper divisors (22875677596).

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

10106475300 is a wasteful number, since it uses less digits than its factorization.

10106475300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8440 (or 8424 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 10106475300 in words is "ten billion, one hundred six million, four hundred seventy-five thousand, three hundred".