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130561269597 = 32112232226637
BaseRepresentation
bin111100110011000001…
…1101101111101011101
3110111000001001200202200
41321212003231331131
54114342141111342
6135551245042113
712301300323603
oct1714603557535
9414001050680
10130561269597
1150409484300
1221378856339
13c40925c715
146467c4d873
1535e228094c
hex1e660edf5d

130561269597 has 54 divisors (see below), whose sum is σ = 216696977406. Its totient is φ = 75687358560.

The previous prime is 130561269589. The next prime is 130561269599. The reversal of 130561269597 is 795962165031.

130561269597 is a `hidden beast` number, since 1 + 3 + 0 + 561 + 26 + 9 + 59 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101137356441 + 29423913156 = 318021^2 + 171534^2 .

It is not a de Polignac number, because 130561269597 - 23 = 130561269589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130561269599) 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 53 ways as a sum of consecutive naturals, for example, 462763 + ... + 689399.

It is an arithmetic number, because the mean of its divisors is an integer number (4012906989).

Almost surely, 2130561269597 is an apocalyptic number.

It is an amenable number.

130561269597 is a deficient number, since it is larger than the sum of its proper divisors (86135707809).

130561269597 is a wasteful number, since it uses less digits than its factorization.

130561269597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226711 (or 226674 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 130561269597 in words is "one hundred thirty billion, five hundred sixty-one million, two hundred sixty-nine thousand, five hundred ninety-seven".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 529 759 1089 1587 2277 2783 4761 5819 8349 17457 25047 52371 64009 192027 226637 576081 679911 2039733 2493007 5212651 7479021 15637953 22437063 27423077 46913859 57339161 82269231 119890973 172017483 246807693 359672919 516052449 630730771 1079018757 1318800703 1892192313 3956402109 5676576939 11869206327 14506807733 43520423199 130561269597