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130187780751 = 3729228193719
BaseRepresentation
bin111100100111111001…
…0111110001010001111
3110110001000021111101110
41321033302332022033
54113111032441001
6135450223543103
712256113610050
oct1711762761217
9413030244343
10130187780751
1150237676636
122129375aa93
13c379a710c2
1464303ca727
1535be5a73d6
hex1e4fcbe28f

130187780751 has 32 divisors (see below), whose sum is σ = 205314278400. Its totient is φ = 71795485440.

The previous prime is 130187780731. The next prime is 130187780771. The reversal of 130187780751 is 157087781031.

It is an interprime number because it is at equal distance from previous prime (130187780731) and next prime (130187780771).

It is not a de Polignac number, because 130187780751 - 211 = 130187778703 is a prime.

It is a super-2 number, since 2×1301877807512 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130187780751.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130187780731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1342270 + ... + 1435988.

It is an arithmetic number, because the mean of its divisors is an integer number (6416071200).

Almost surely, 2130187780751 is an apocalyptic number.

130187780751 is a deficient number, since it is larger than the sum of its proper divisors (75126497649).

130187780751 is a wasteful number, since it uses less digits than its factorization.

130187780751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96039.

The product of its (nonzero) digits is 329280, while the sum is 48.

The spelling of 130187780751 in words is "one hundred thirty billion, one hundred eighty-seven million, seven hundred eighty thousand, seven hundred fifty-one".

Divisors: 1 3 7 21 29 87 203 609 2281 6843 15967 47901 66149 93719 198447 281157 463043 656033 1389129 1968099 2717851 8153553 19024957 57074871 213773039 641319117 1496411273 4489233819 6199418131 18598254393 43395926917 130187780751