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120120130 = 251321737113
BaseRepresentation
bin1110010100011…
…10001101000010
322101000201211201
413022032031002
5221222321010
615530331414
72656001314
oct712161502
9271021751
10120120130
1161894039
1234289b6a
131bb69800
1411d4b7b4
15a82b23a
hex728e342

120120130 has 96 divisors (see below), whose sum is σ = 256852944. Its totient is φ = 40255488.

The previous prime is 120120127. The next prime is 120120137. The reversal of 120120130 is 31021021.

It can be written as a sum of positive squares in 24 ways, for example, as 19298449 + 100821681 = 4393^2 + 10041^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120120137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1062954 + ... + 1063066.

Almost surely, 2120120130 is an apocalyptic number.

120120130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120120130 is an abundant number, since it is smaller than the sum of its proper divisors (136732814).

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

120120130 is a wasteful number, since it uses less digits than its factorization.

120120130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 120120130 is about 10959.9329377510. The cubic root of 120120130 is about 493.4069522267.

Adding to 120120130 its reverse (31021021), we get a palindrome (151141151).

The spelling of 120120130 in words is "one hundred twenty million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 37 65 74 85 113 130 169 170 185 221 226 338 370 442 481 565 629 845 962 1105 1130 1258 1469 1690 1921 2210 2405 2873 2938 3145 3842 4181 4810 5746 6253 6290 7345 8177 8362 9605 12506 14365 14690 16354 19097 19210 20905 24973 28730 31265 38194 40885 41810 49946 54353 62530 71077 81770 95485 106301 108706 124865 142154 190970 212602 249730 271765 324649 355385 531505 543530 649298 706589 710770 924001 1063010 1413178 1623245 1848002 3246490 3532945 4620005 7065890 9240010 12012013 24024026 60060065 120120130