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130101312 = 26311229269
BaseRepresentation
bin1111100000100…
…11000001000000
3100001210211110010
413300103001000
5231301220222
620524304520
73136562055
oct760230100
9301724403
10130101312
1167491050
12376a2140
1320c52933
14133c902c
15b64d80c
hex7c13040

130101312 has 112 divisors (see below), whose sum is σ = 378561600. Its totient is φ = 39106560.

The previous prime is 130101277. The next prime is 130101319. The reversal of 130101312 is 213101031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (130101319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483514 + ... + 483782.

Almost surely, 2130101312 is an apocalyptic number.

130101312 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 130101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189280800).

130101312 is an abundant number, since it is smaller than the sum of its proper divisors (248460288).

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

130101312 is a wasteful number, since it uses less digits than its factorization.

130101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 130101312 is about 11406.1962108321. The cubic root of 130101312 is about 506.7112641568.

Adding to 130101312 its reverse (213101031), we get a palindrome (343202343).

The spelling of 130101312 in words is "one hundred thirty million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 229 264 269 352 458 528 538 687 704 807 916 1056 1076 1374 1614 1832 2112 2152 2519 2748 2959 3228 3664 4304 5038 5496 5918 6456 7328 7557 8608 8877 10076 10992 11836 12912 14656 15114 17216 17754 20152 21984 23672 25824 30228 35508 40304 43968 47344 51648 60456 61601 71016 80608 94688 120912 123202 142032 161216 184803 189376 241824 246404 284064 369606 483648 492808 568128 677611 739212 985616 1355222 1478424 1971232 2032833 2710444 2956848 3942464 4065666 5420888 5913696 8131332 10841776 11827392 16262664 21683552 32525328 43367104 65050656 130101312