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10130000000 = 27571013
BaseRepresentation
bin10010110111100101…
…11000100010000000
3222010222101022121012
421123302320202000
5131221240000000
64353105020052
7506013402461
oct113362704200
928128338535
1010130000000
114329136a2a
121b68624628
13c55905c53
146c1522d68
153e44db735
hex25bcb8880

10130000000 has 128 divisors (see below), whose sum is σ = 25250911920. Its totient is φ = 4048000000.

The previous prime is 10129999981. The next prime is 10130000033. The reversal of 10130000000 is 3101.

It can be written as a sum of positive squares in 8 ways, for example, as 10062497344 + 67502656 = 100312^2 + 8216^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (5).

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, 9999494 + ... + 10000506.

Almost surely, 210130000000 is an apocalyptic number.

10130000000 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 10130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12625455960).

10130000000 is an abundant number, since it is smaller than the sum of its proper divisors (15120911920).

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

10130000000 is an frugal number, since it uses more digits than its factorization.

10130000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

Adding to 10130000000 its reverse (3101), we get a palindrome (10130003101).

The spelling of 10130000000 in words is "ten billion, one hundred thirty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1013 1250 1600 2000 2026 2500 3125 3200 4000 4052 5000 5065 6250 8000 8104 10000 10130 12500 15625 16000 16208 20000 20260 25000 25325 31250 32416 40000 40520 50000 50650 62500 64832 78125 80000 81040 100000 101300 125000 126625 129664 156250 162080 200000 202600 250000 253250 312500 324160 400000 405200 500000 506500 625000 633125 648320 810400 1000000 1013000 1250000 1266250 1620800 2000000 2026000 2500000 2532500 3165625 3241600 4052000 5000000 5065000 6331250 8104000 10000000 10130000 12662500 15828125 16208000 20260000 25325000 31656250 40520000 50650000 63312500 79140625 81040000 101300000 126625000 158281250 202600000 253250000 316562500 405200000 506500000 633125000 1013000000 1266250000 2026000000 2532500000 5065000000 10130000000