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113691026761 = 1323727012
BaseRepresentation
bin110100111100010000…
…0110110010101001001
3101212110022201120012221
41221320200312111021
53330314400324021
6124121241134041
711133240532264
oct1517040662511
9355408646187
10113691026761
1144241691154
121a04aa8a321
13a94b0cb400
1457074a9cdb
152e5618a241
hex1a78836549

113691026761 has 27 divisors (see below), whose sum is σ = 126707172543. Its totient is φ = 101963534400.

The previous prime is 113691026749. The next prime is 113691026797. The reversal of 113691026761 is 167620196311.

The square root of 113691026761 is 337181.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 10945135161 + 102745891600 = 104619^2 + 320540^2 .

It is not a de Polignac number, because 113691026761 - 213 = 113691018569 is a prime.

It is a super-2 number, since 2×1136910267612 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113691026741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 162183711 + ... + 162184411.

Almost surely, 2113691026761 is an apocalyptic number.

113691026761 is the 337181-st square number.

113691026761 is the 168591-st centered octagonal number.

It is an amenable number.

113691026761 is a deficient number, since it is larger than the sum of its proper divisors (13016145782).

113691026761 is an frugal number, since it uses more digits than its factorization.

113691026761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The spelling of 113691026761 in words is "one hundred thirteen billion, six hundred ninety-one million, twenty-six thousand, seven hundred sixty-one".

Divisors: 1 13 37 169 481 701 1369 6253 9113 17797 25937 118469 231361 337181 491401 959669 4383353 6388213 12475697 18181837 83046769 162184061 236363881 672727969 3072730453 8745463597 113691026761