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130645923075 = 325223117121559
BaseRepresentation
bin111100110101100011…
…0101001010100000011
3110111012221100112111200
41321223012221110003
54120030324014300
6140003511312243
712303346011003
oct1715306512403
9414187315450
10130645923075
1150452243758
12213a107b683
13c42095bc35
1464751a8003
1535e9903200
hex1e6b1a9503

130645923075 has 72 divisors (see below), whose sum is σ = 244395191040. Its totient is φ = 66588350400.

The previous prime is 130645923071. The next prime is 130645923097. The reversal of 130645923075 is 570329546031.

130645923075 is a `hidden beast` number, since 1 + 306 + 45 + 9 + 230 + 75 = 666.

It is not a de Polignac number, because 130645923075 - 22 = 130645923071 is a prime.

It is a super-2 number, since 2×1306459230752 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 130645923075.

It is not an unprimeable number, because it can be changed into a prime (130645923071) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6049146 + ... + 6070704.

Almost surely, 2130645923075 is an apocalyptic number.

130645923075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130645923075 is a deficient number, since it is larger than the sum of its proper divisors (113749267965).

130645923075 is a wasteful number, since it uses less digits than its factorization.

130645923075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22769 (or 22761 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 130645923075 in words is "one hundred thirty billion, six hundred forty-five million, nine hundred twenty-three thousand, seventy-five".

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 575 1035 1171 1725 3513 5175 5855 10539 17565 21559 26933 29275 52695 64677 80799 87825 107795 134665 194031 242397 263475 323385 403995 495857 538975 673325 970155 1211985 1487571 1616925 2019975 2479285 4462713 4850775 6059925 7437855 12396425 22313565 25245589 37189275 75736767 111567825 126227945 227210301 378683835 580648547 631139725 1136051505 1741945641 1893419175 2903242735 5225836923 5680257525 8709728205 14516213675 26129184615 43548641025 130645923075