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113322300102 = 23511108719501
BaseRepresentation
bin110100110001010001…
…0010001001011000110
3101211111121220022100000
41221202202101023012
53324041002100402
6124020510102130
711121142441404
oct1514242211306
9354447808300
10113322300102
1144072536380
1219b674aa946
13a8bc8b955b
1456b0526474
152e33b02c1c
hex1a628912c6

113322300102 has 96 divisors (see below), whose sum is σ = 278042978304. Its totient is φ = 34306740000.

The previous prime is 113322300041. The next prime is 113322300103. The reversal of 113322300102 is 201003223311.

113322300102 is a `hidden beast` number, since 1 + 1 + 332 + 230 + 0 + 102 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113322300103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5801352 + ... + 5820852.

It is an arithmetic number, because the mean of its divisors is an integer number (2896281024).

Almost surely, 2113322300102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113322300102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139021489152).

113322300102 is an abundant number, since it is smaller than the sum of its proper divisors (164720678202).

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

113322300102 is a wasteful number, since it uses less digits than its factorization.

113322300102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20616 (or 20604 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 113322300102 its reverse (201003223311), we get a palindrome (314325523413).

The spelling of 113322300102 in words is "one hundred thirteen billion, three hundred twenty-two million, three hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1087 1782 2174 2673 3261 5346 6522 9783 11957 19501 19566 23914 29349 35871 39002 58503 58698 71742 88047 107613 117006 175509 176094 214511 215226 264141 322839 351018 429022 526527 528282 643533 645678 968517 1053054 1287066 1579581 1930599 1937034 2905551 3159162 3861198 4738743 5791797 5811102 9477486 11583594 17375391 21197587 34750782 42395174 52126173 63592761 104252346 127185522 190778283 233173457 381556566 466346914 572334849 699520371 1144669698 1399040742 1717004547 2098561113 3434009094 4197122226 5151013641 6295683339 10302027282 12591366678 18887050017 37774100034 56661150051 113322300102