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10053130120 = 2351123167003
BaseRepresentation
bin10010101110011011…
…01001011110001000
3221221121201220221121
421113031221132020
5131042100130440
64341321245024
7504061124155
oct112715513610
927847656847
1010053130120
114299803500
121b46933774
13c42a00507
146b523322c
153dc8a534a
hex257369788

10053130120 has 96 divisors (see below), whose sum is σ = 25665212160. Its totient is φ = 3537705600.

The previous prime is 10053130037. The next prime is 10053130121. The reversal of 10053130120 is 2103135001.

10053130120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10053130094 and 10053130103.

It is not an unprimeable number, because it can be changed into a prime (10053130121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116539 + ... + 183541.

It is an arithmetic number, because the mean of its divisors is an integer number (267345960).

Almost surely, 210053130120 is an apocalyptic number.

10053130120 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 10053130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832606080).

10053130120 is an abundant number, since it is smaller than the sum of its proper divisors (15612082040).

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

10053130120 is a wasteful number, since it uses less digits than its factorization.

10053130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67067 (or 67052 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 10053130120 its reverse (2103135001), we get a palindrome (12156265121).

The spelling of 10053130120 in words is "ten billion, fifty-three million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 121 124 155 220 242 248 310 341 440 484 605 620 682 968 1210 1240 1364 1705 2420 2728 3410 3751 4840 6820 7502 13640 15004 18755 30008 37510 67003 75020 134006 150040 268012 335015 536024 670030 737033 1340060 1474066 2077093 2680120 2948132 3685165 4154186 5896264 7370330 8107363 8308372 10385465 14740660 16214726 16616744 20770930 22848023 29481320 32429452 40536815 41541860 45696046 64858904 81073630 83083720 91392092 114240115 162147260 182784184 228480230 251328253 324294520 456960460 502656506 913920920 1005313012 1256641265 2010626024 2513282530 5026565060 10053130120