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130152350320 = 24523292439137
BaseRepresentation
bin111100100110110101…
…1110100001001110000
3110102221112121102222021
41321031223310021300
54113023000202240
6135442520321224
712255203503246
oct1711553641160
9412845542867
10130152350320
1150219677193
1221283913214
13c372617455
146429806796
1535bb40954a
hex1e4daf4270

130152350320 has 80 divisors (see below), whose sum is σ = 326649360960. Its totient is φ = 48080248832.

The previous prime is 130152350311. The next prime is 130152350323. The reversal of 130152350320 is 23053251031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130152350323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1166209 + ... + 1272928.

It is an arithmetic number, because the mean of its divisors is an integer number (4083117012).

Almost surely, 2130152350320 is an apocalyptic number.

130152350320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130152350320 is an abundant number, since it is smaller than the sum of its proper divisors (196497010640).

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

130152350320 is a wasteful number, since it uses less digits than its factorization.

130152350320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2439202 (or 2439196 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 130152350320 in words is "one hundred thirty billion, one hundred fifty-two million, three hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 40 46 58 80 92 115 116 145 184 230 232 290 368 460 464 580 667 920 1160 1334 1840 2320 2668 3335 5336 6670 10672 13340 26680 53360 2439137 4878274 9756548 12195685 19513096 24391370 39026192 48782740 56100151 70734973 97565480 112200302 141469946 195130960 224400604 280500755 282939892 353674865 448801208 561001510 565879784 707349730 897602416 1122003020 1131759568 1414699460 1626904379 2244006040 2829398920 3253808758 4488012080 5658797840 6507617516 8134521895 13015235032 16269043790 26030470064 32538087580 65076175160 130152350320