Search a number
-
+
10122130220 = 22510940111579
BaseRepresentation
bin10010110110101001…
…10111001100101100
3222010102120111021212
421123110313030230
5131212231131340
64352224213552
7505556454506
oct113324671454
928112514255
1010122130220
114324751284
121b65a6a2b8
13c540abb87
146c0474d76
153e3984a65
hex25b53732c

10122130220 has 48 divisors (see below), whose sum is σ = 21506839200. Its totient is φ = 4001356800.

The previous prime is 10122130201. The next prime is 10122130223. The reversal of 10122130220 is 2203122101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10122130195 and 10122130204.

It is not an unprimeable number, because it can be changed into a prime (10122130223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868391 + ... + 879969.

It is an arithmetic number, because the mean of its divisors is an integer number (448059150).

Almost surely, 210122130220 is an apocalyptic number.

10122130220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122130220 is an abundant number, since it is smaller than the sum of its proper divisors (11384708980).

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

10122130220 is a wasteful number, since it uses less digits than its factorization.

10122130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12098 (or 12096 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10122130220 its reverse (2203122101), we get a palindrome (12325252321).

The spelling of 10122130220 in words is "ten billion, one hundred twenty-two million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 109 218 401 436 545 802 1090 1604 2005 2180 4010 8020 11579 23158 43709 46316 57895 87418 115790 174836 218545 231580 437090 874180 1262111 2524222 4643179 5048444 6310555 9286358 12621110 18572716 23215895 25242220 46431790 92863580 506106511 1012213022 2024426044 2530532555 5061065110 10122130220