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113779251060 = 223510997717807
BaseRepresentation
bin110100111110111000…
…1011001011101110100
3101212200110201211012120
41221331301121131310
53331004442013220
6124134112115540
711135361451056
oct1517561313564
9355613654176
10113779251060
114428746a3a2
121a074535bb0
13a96347b037
1457150b38d6
152e5dcb5a40
hex1a7dc59774

113779251060 has 96 divisors (see below), whose sum is σ = 321851819520. Its totient is φ = 30030317568.

The previous prime is 113779251049. The next prime is 113779251067. The reversal of 113779251060 is 60152977311.

It is a super-2 number, since 2×1137792510602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113779251067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6380677 + ... + 6398483.

It is an arithmetic number, because the mean of its divisors is an integer number (3352623120).

Almost surely, 2113779251060 is an apocalyptic number.

113779251060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113779251060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160925909760).

113779251060 is an abundant number, since it is smaller than the sum of its proper divisors (208072568460).

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

113779251060 is a wasteful number, since it uses less digits than its factorization.

113779251060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18905 (or 18903 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 113779251060 in words is "one hundred thirteen billion, seven hundred seventy-nine million, two hundred fifty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 977 1090 1308 1635 1954 2180 2931 3270 3908 4885 5862 6540 9770 11724 14655 17807 19540 29310 35614 53421 58620 71228 89035 106493 106842 178070 212986 213684 267105 319479 356140 425972 532465 534210 638958 1064930 1068420 1277916 1597395 1940963 2129860 3194790 3881926 5822889 6389580 7763852 9704815 11645778 17397439 19409630 23291556 29114445 34794878 38819260 52192317 58228890 69589756 86987195 104384634 116457780 173974390 208769268 260961585 347948780 521923170 1043846340 1896320851 3792641702 5688962553 7585283404 9481604255 11377925106 18963208510 22755850212 28444812765 37926417020 56889625530 113779251060