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130502567700 = 223252145002853
BaseRepresentation
bin111100110001010001…
…1110010011100010100
3110110211221121022220100
41321202203302130110
54114232124131300
6135541350534100
712266655344211
oct1714243623424
9413757538810
10130502567700
115038932a73a
1221361067330
13c3ca04857b
14646012cb08
1535dc037700
hex1e628f2714

130502567700 has 54 divisors (see below), whose sum is σ = 409053051134. Its totient is φ = 34800684480.

The previous prime is 130502567687. The next prime is 130502567707. The reversal of 130502567700 is 7765205031.

130502567700 is a `hidden beast` number, since 1 + 30 + 502 + 56 + 7 + 70 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 42272182404 + 88230385296 = 205602^2 + 297036^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130502567707) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 72500527 + ... + 72502326.

Almost surely, 2130502567700 is an apocalyptic number.

130502567700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130502567700 is an abundant number, since it is smaller than the sum of its proper divisors (278550483434).

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

130502567700 is a wasteful number, since it uses less digits than its factorization.

130502567700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145002873 (or 145002863 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 130502567700 in words is "one hundred thirty billion, five hundred two million, five hundred sixty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 145002853 290005706 435008559 580011412 725014265 870017118 1305025677 1450028530 1740034236 2175042795 2610051354 2900057060 3625071325 4350085590 5220102708 6525128385 7250142650 8700171180 10875213975 13050256770 14500285300 21750427950 26100513540 32625641925 43500855900 65251283850 130502567700