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130065100 = 225211317373
BaseRepresentation
bin1111100000010…
…10001011001100
3100001201222202221
413300022023030
5231244040400
620523425124
73136351354
oct760121314
9301658687
10130065100
1167466920
12376851a4
1320c3c2c9
14133b9b64
15b642c1a
hex7c0a2cc

130065100 has 72 divisors (see below), whose sum is σ = 309698928. Its totient is φ = 47020800.

The previous prime is 130065097. The next prime is 130065107. The reversal of 130065100 is 1560031.

It is not an unprimeable number, because it can be changed into a prime (130065107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348514 + ... + 348886.

It is an arithmetic number, because the mean of its divisors is an integer number (4301374).

Almost surely, 2130065100 is an apocalyptic number.

130065100 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 130065100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154849464).

130065100 is an abundant number, since it is smaller than the sum of its proper divisors (179633828).

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

130065100 is a wasteful number, since it uses less digits than its factorization.

130065100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 130065100 is about 11404.6087175317. The cubic root of 130065100 is about 506.6642476416.

The spelling of 130065100 in words is "one hundred thirty million, sixty-five thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 317 373 550 634 746 1100 1268 1492 1585 1865 3170 3487 3730 4103 6340 6974 7460 7925 8206 9325 13948 15850 16412 17435 18650 20515 31700 34870 37300 41030 69740 82060 87175 102575 118241 174350 205150 236482 348700 410300 472964 591205 1182410 1300651 2364820 2601302 2956025 5202604 5912050 6503255 11824100 13006510 26013020 32516275 65032550 130065100