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10130345320 = 2357116372179
BaseRepresentation
bin10010110111101000…
…01100110101101000
3222011000000212021211
421123310030311220
5131221332022240
64353120242504
7506016341314
oct113364146550
928130025254
1010130345320
114329352417
121b68770434
13c559c7194
146c15b2b44
153e4558bea
hex25bd0cd68

10130345320 has 64 divisors (see below), whose sum is σ = 23139043200. Its totient is φ = 3990792960.

The previous prime is 10130345317. The next prime is 10130345333. The reversal of 10130345320 is 2354303101.

10130345320 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 = 10130345291 and 10130345300.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4647991 + ... + 4650169.

It is an arithmetic number, because the mean of its divisors is an integer number (361547550).

Almost surely, 210130345320 is an apocalyptic number.

10130345320 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 10130345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11569521600).

10130345320 is an abundant number, since it is smaller than the sum of its proper divisors (13008697880).

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

10130345320 is a wasteful number, since it uses less digits than its factorization.

10130345320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3898 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 10130345320 its reverse (2354303101), we get a palindrome (12484648421).

The spelling of 10130345320 in words is "ten billion, one hundred thirty million, three hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 1637 2179 2840 3274 4358 6548 8185 8716 10895 13096 16370 17432 21790 32740 43580 65480 87160 116227 154709 232454 309418 464908 581135 618836 773545 929816 1162270 1237672 1547090 2324540 3094180 3567023 4649080 6188360 7134046 14268092 17835115 28536184 35670230 71340460 142680920 253258633 506517266 1013034532 1266293165 2026069064 2532586330 5065172660 10130345320