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130122192 = 24337411787
BaseRepresentation
bin1111100000110…
…00000111010000
3100001211220002110
413300120013100
5231302402232
620524545320
73140006664
oct760300720
9301756073
10130122192
11674a5802
12376b2240
1320c5c2a5
14133d28a4
15b654acc
hex7c181d0

130122192 has 80 divisors (see below), whose sum is σ = 353852352. Its totient is φ = 41149440.

The previous prime is 130122191. The next prime is 130122193. The reversal of 130122192 is 291221031.

It is an interprime number because it is at equal distance from previous prime (130122191) and next prime (130122193).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130122191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71923 + ... + 73709.

Almost surely, 2130122192 is an apocalyptic number.

130122192 is a gapful number since it is divisible by the number (12) 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 130122192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176926176).

130122192 is an abundant number, since it is smaller than the sum of its proper divisors (223730160).

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

130122192 is a wasteful number, since it uses less digits than its factorization.

130122192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 130122192 is about 11407.1114660987. Note that the first 3 decimals coincide. The cubic root of 130122192 is about 506.7383701229.

The spelling of 130122192 in words is "one hundred thirty million, one hundred twenty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 123 148 164 222 246 296 328 444 492 592 656 888 984 1517 1776 1787 1968 3034 3574 4551 5361 6068 7148 9102 10722 12136 14296 18204 21444 24272 28592 36408 42888 66119 72816 73267 85776 132238 146534 198357 219801 264476 293068 396714 439602 528952 586136 793428 879204 1057904 1172272 1586856 1758408 2710879 3173712 3516816 5421758 8132637 10843516 16265274 21687032 32530548 43374064 65061096 130122192