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130370100 = 22352762081
BaseRepresentation
bin1111100010101…
…00101000110100
3100002022111011020
413301110220310
5231333320400
620534141140
73142061520
oct761245064
9302274136
10130370100
1167654a93
12377b17b0
1321018093
1413458d80
15b6a32a0
hex7c54a34

130370100 has 72 divisors (see below), whose sum is σ = 431097408. Its totient is φ = 29798400.

The previous prime is 130370081. The next prime is 130370101. The reversal of 130370100 is 1073031.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130370100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130370101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28941 + ... + 33140.

It is an arithmetic number, because the mean of its divisors is an integer number (5987464).

Almost surely, 2130370100 is an apocalyptic number.

130370100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130370100 is an abundant number, since it is smaller than the sum of its proper divisors (300727308).

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

130370100 is a wasteful number, since it uses less digits than its factorization.

130370100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62105 (or 62098 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 130370100 is about 11417.9726746914. The cubic root of 130370100 is about 507.0599775766.

It can be divided in two parts, 130 and 370100, that added together give a triangular number (370230 = T860).

The spelling of 130370100 in words is "one hundred thirty million, three hundred seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 62081 124162 186243 248324 310405 372486 434567 620810 744972 869134 931215 1241620 1303701 1552025 1738268 1862430 2172835 2607402 3104050 3724860 4345670 4656075 5214804 6208100 6518505 8691340 9312150 10864175 13037010 18624300 21728350 26074020 32592525 43456700 65185050 130370100