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130100292 = 223272131563
BaseRepresentation
bin1111100000100…
…10110001000100
3100001210210001100
413300102301010
5231301202132
620524300100
73136556100
oct760226104
9301723040
10130100292
1167490303
12376a1630
1320c5232a
14133c8900
15b64d37c
hex7c12c44

130100292 has 108 divisors (see below), whose sum is σ = 386161776. Its totient is φ = 36822240.

The previous prime is 130100263. The next prime is 130100323. The reversal of 130100292 is 292001031.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 230803 + ... + 231365.

It is an arithmetic number, because the mean of its divisors is an integer number (3575572).

Almost surely, 2130100292 is an apocalyptic number.

130100292 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 130100292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193080888).

130100292 is an abundant number, since it is smaller than the sum of its proper divisors (256061484).

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

130100292 is a wasteful number, since it uses less digits than its factorization.

130100292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130100292 is about 11406.1514982048. The cubic root of 130100292 is about 506.7099399405.

The spelling of 130100292 in words is "one hundred thirty million, one hundred thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 131 147 196 252 262 294 393 441 524 563 588 786 882 917 1126 1179 1572 1689 1764 1834 2252 2358 2751 3378 3668 3941 4716 5067 5502 6419 6756 7882 8253 10134 11004 11823 12838 15764 16506 19257 20268 23646 25676 27587 33012 35469 38514 47292 55174 57771 70938 73753 77028 82761 110348 115542 141876 147506 165522 221259 231084 248283 295012 331044 442518 496566 516271 663777 885036 993132 1032542 1327554 1548813 2065084 2655108 3097626 3613897 4646439 6195252 7227794 9292878 10841691 14455588 18585756 21683382 32525073 43366764 65050146 130100292