Search a number
-
+
10120130010 = 233537998897
BaseRepresentation
bin10010110110011010…
…01110110111011010
3222010021210212112000
421123031032313122
5131211223130020
64352113301430
7505533454134
oct113315166732
928107725460
1010120130010
114323605511
121b65264876
13c5385b613
146c00b4054
153e36dc090
hex25b34edda

10120130010 has 64 divisors (see below), whose sum is σ = 27058492800. Its totient is φ = 2691553536.

The previous prime is 10120130003. The next prime is 10120130047. The reversal of 10120130010 is 1003102101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10120129974 and 10120130001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52882 + ... + 151778.

It is an arithmetic number, because the mean of its divisors is an integer number (422788950).

Almost surely, 210120130010 is an apocalyptic number.

10120130010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13529246400).

10120130010 is an abundant number, since it is smaller than the sum of its proper divisors (16938362790).

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

10120130010 is a wasteful number, since it uses less digits than its factorization.

10120130010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99292 (or 99286 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10120130010 its reverse (1003102101), we get a palindrome (11123232111).

The spelling of 10120130010 in words is "ten billion, one hundred twenty million, one hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 379 758 1137 1895 2274 3411 3790 5685 6822 10233 11370 17055 20466 34110 51165 98897 102330 197794 296691 494485 593382 890073 988970 1483455 1780146 2670219 2966910 4450365 5340438 8900730 13351095 26702190 37481963 74963926 112445889 187409815 224891778 337337667 374819630 562229445 674675334 1012013001 1124458890 1686688335 2024026002 3373376670 5060065005 10120130010