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10145336130 = 233537575319
BaseRepresentation
bin10010111001011010…
…11000101101000010
3222012001020110211000
421130231120231002
5131234201224010
64354413432430
7506260635306
oct113455305502
928161213730
1010145336130
114336861216
121b7179b716
13c58b45597
146c3595d06
153e5a1a7c0
hex25cb58b42

10145336130 has 32 divisors (see below), whose sum is σ = 27054230400. Its totient is φ = 2705422896.

The previous prime is 10145336129. The next prime is 10145336141. The reversal of 10145336130 is 3163354101.

10145336130 is a `hidden beast` number, since 1 + 0 + 1 + 45 + 3 + 3 + 613 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10145336094 and 10145336103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18787390 + ... + 18787929.

It is an arithmetic number, because the mean of its divisors is an integer number (845444700).

Almost surely, 210145336130 is an apocalyptic number.

10145336130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10145336130 is an abundant number, since it is smaller than the sum of its proper divisors (16908894270).

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

10145336130 is a wasteful number, since it uses less digits than its factorization.

10145336130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37575335 (or 37575329 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 10145336130 in words is "ten billion, one hundred forty-five million, three hundred thirty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 37575319 75150638 112725957 187876595 225451914 338177871 375753190 563629785 676355742 1014533613 1127259570 1690889355 2029067226 3381778710 5072668065 10145336130