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10133402643 = 337134124299
BaseRepresentation
bin10010110111111111…
…10111010000010011
3222011012210012011000
421123333313100103
5131223122341033
64353305553043
7506054333640
oct113377672023
928135705130
1010133402643
114330050431
121b697a5783
13c56527950
146c1b6adc7
153e495ea13
hex25bff7413

10133402643 has 32 divisors (see below), whose sum is σ = 18476864000. Its totient is φ = 5345090208.

The previous prime is 10133402641. The next prime is 10133402647. The reversal of 10133402643 is 34620433101.

10133402643 is a `hidden beast` number, since 1 + 0 + 13 + 3 + 4 + 0 + 2 + 643 = 666.

It is not a de Polignac number, because 10133402643 - 21 = 10133402641 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10133402641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2059693 + ... + 2064606.

It is an arithmetic number, because the mean of its divisors is an integer number (577402000).

Almost surely, 210133402643 is an apocalyptic number.

10133402643 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10133402643 is a deficient number, since it is larger than the sum of its proper divisors (8343461357).

10133402643 is a wasteful number, since it uses less digits than its factorization.

10133402643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124328 (or 4124322 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 10133402643 its reverse (34620433101), we get a palindrome (44753835744).

The spelling of 10133402643 in words is "ten billion, one hundred thirty-three million, four hundred two thousand, six hundred forty-three".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 4124299 12372897 28870093 37118691 53615887 86610279 111356073 160847661 259830837 375311209 482542983 779492511 1125933627 1447628949 3377800881 10133402643