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130109952 = 293712101
BaseRepresentation
bin1111100000101…
…01001000000000
3100001211021022010
413300111020000
5231302004302
620524412520
73136626210
oct760251000
9301737263
10130109952
1167497595
12376a7140
1320c5684b
14133cc240
15b65116c
hex7c15200

130109952 has 80 divisors (see below), whose sum is σ = 396171072. Its totient is φ = 37171200.

The previous prime is 130109951. The next prime is 130109953. The reversal of 130109952 is 259901031.

It is an interprime number because it is at equal distance from previous prime (130109951) and next prime (130109953).

It is not an unprimeable number, because it can be changed into a prime (130109951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4702 + ... + 16802.

Almost surely, 2130109952 is an apocalyptic number.

130109952 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 130109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198085536).

130109952 is an abundant number, since it is smaller than the sum of its proper divisors (266061120).

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

130109952 is an equidigital number, since it uses as much as digits as its factorization.

130109952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12129 (or 12113 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 130109952 is about 11406.5749460563. The cubic root of 130109952 is about 506.7224807704.

The spelling of 130109952 in words is "one hundred thirty million, one hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 12101 24202 36303 48404 72606 84707 96808 145212 169414 193616 254121 290424 338828 387232 508242 580848 677656 774464 1016484 1161696 1355312 1548928 2032968 2323392 2710624 3097856 4065936 4646784 5421248 6195712 8131872 9293568 10842496 16263744 18587136 21684992 32527488 43369984 65054976 130109952