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130022120 = 235171071787
BaseRepresentation
bin1111011111111…
…11101011101000
3100001122210211002
413233333223220
5231241201440
620522454132
73136112144
oct757775350
9301583732
10130022120
11674375a8
1237664348
1320c25887
14133a8224
15b635115
hex7bffae8

130022120 has 64 divisors (see below), whose sum is σ = 312828480. Its totient is φ = 48464896.

The previous prime is 130022119. The next prime is 130022141. The reversal of 130022120 is 21220031.

It is a happy number.

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, 71867 + ... + 73653.

It is an arithmetic number, because the mean of its divisors is an integer number (4887945).

Almost surely, 2130022120 is an apocalyptic number.

130022120 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 130022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156414240).

130022120 is an abundant number, since it is smaller than the sum of its proper divisors (182806360).

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

130022120 is a wasteful number, since it uses less digits than its factorization.

130022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 130022120 is about 11402.7242359008. The cubic root of 130022120 is about 506.6084324422.

Adding to 130022120 its reverse (21220031), we get a palindrome (151242151).

The spelling of 130022120 in words is "one hundred thirty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 107 136 170 214 340 428 535 680 856 1070 1787 1819 2140 3574 3638 4280 7148 7276 8935 9095 14296 14552 17870 18190 30379 35740 36380 60758 71480 72760 121516 151895 191209 243032 303790 382418 607580 764836 956045 1215160 1529672 1912090 3250553 3824180 6501106 7648360 13002212 16252765 26004424 32505530 65011060 130022120