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122513130 = 23251917127
BaseRepresentation
bin1110100110101…
…10011011101010
322112112022102100
413103112123222
5222330410010
620053514230
73015226065
oct723263352
9275468370
10122513130
1163178a23
1235042976
131c4c6a9c
14123b18dc
15ab502c0
hex74d66ea

122513130 has 48 divisors (see below), whose sum is σ = 320246784. Its totient is φ = 32494560.

The previous prime is 122513123. The next prime is 122513143. The reversal of 122513130 is 31315221.

122513130 is a `hidden beast` number, since 1 + 22 + 513 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13627 + ... + 20753.

It is an arithmetic number, because the mean of its divisors is an integer number (6671808).

Almost surely, 2122513130 is an apocalyptic number.

122513130 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 122513130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160123392).

122513130 is an abundant number, since it is smaller than the sum of its proper divisors (197733654).

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

122513130 is a wasteful number, since it uses less digits than its factorization.

122513130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7331 (or 7328 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 122513130 is about 11068.5649476344. The cubic root of 122513130 is about 496.6619376054.

Adding to 122513130 its reverse (31315221), we get a palindrome (153828351).

The spelling of 122513130 in words is "one hundred twenty-two million, five hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 191 382 573 955 1146 1719 1910 2865 3438 5730 7127 8595 14254 17190 21381 35635 42762 64143 71270 106905 128286 213810 320715 641430 1361257 2722514 4083771 6806285 8167542 12251313 13612570 20418855 24502626 40837710 61256565 122513130