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120218130 = 232519229307
BaseRepresentation
bin1110010101001…
…10001000010010
322101012201021100
413022212020102
5221233440010
615532405230
72656560114
oct712461022
9271181240
10120218130
116195072a
1234316816
131bba22b6
1411d753b4
15a84a2c0
hex72a6212

120218130 has 96 divisors (see below), whose sum is σ = 331531200. Its totient is φ = 30139776.

The previous prime is 120218083. The next prime is 120218159. The reversal of 120218130 is 31812021.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 391437 + ... + 391743.

It is an arithmetic number, because the mean of its divisors is an integer number (3453450).

Almost surely, 2120218130 is an apocalyptic number.

120218130 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 120218130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165765600).

120218130 is an abundant number, since it is smaller than the sum of its proper divisors (211313070).

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

120218130 is a wasteful number, since it uses less digits than its factorization.

120218130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 120218130 is about 10964.4028565171. The cubic root of 120218130 is about 493.5410977621.

The spelling of 120218130 in words is "one hundred twenty million, two hundred eighteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 229 285 307 342 458 570 614 687 855 921 1145 1374 1535 1710 1842 2061 2290 2763 3070 3435 4122 4351 4605 5526 5833 6870 8702 9210 10305 11666 13053 13815 17499 20610 21755 26106 27630 29165 34998 39159 43510 52497 58330 65265 70303 78318 87495 104994 130530 140606 174990 195795 210909 262485 351515 391590 421818 524970 632727 703030 1054545 1265454 1335757 2109090 2671514 3163635 4007271 6327270 6678785 8014542 12021813 13357570 20036355 24043626 40072710 60109065 120218130