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10130414004 = 22321777158357
BaseRepresentation
bin10010110111101000…
…11101100110110100
3222011000011100111200
421123310131212310
5131221341222004
64353121532500
7506020045464
oct113364354664
928130140450
1010130414004
114329399a87
121b687a4130
13c55a1c519
146c15cdba4
153e456e239
hex25bd1d9b4

10130414004 has 36 divisors (see below), whose sum is σ = 25622007684. Its totient is φ = 3374883072.

The previous prime is 10130413987. The next prime is 10130414027. The reversal of 10130414004 is 40041403101.

It can be written as a sum of positive squares in 2 ways, for example, as 7121672100 + 3008741904 = 84390^2 + 54852^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 15207 + ... + 143150.

Almost surely, 210130414004 is an apocalyptic number.

It is an amenable number.

10130414004 is an abundant number, since it is smaller than the sum of its proper divisors (15491593680).

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

10130414004 is a wasteful number, since it uses less digits than its factorization.

10130414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160144 (or 160139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10130414004 its reverse (40041403101), we get a palindrome (50171817105).

The spelling of 10130414004 in words is "ten billion, one hundred thirty million, four hundred fourteen thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 1777 3554 5331 7108 10662 15993 21324 31986 63972 158357 316714 475071 633428 950142 1425213 1900284 2850426 5700852 281400389 562800778 844201167 1125601556 1688402334 2532603501 3376804668 5065207002 10130414004