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113323021002 = 23441140912109
BaseRepresentation
bin110100110001010010…
…1000001001011001010
3101211111200020221020000
41221202211001023022
53324041143133002
6124020533343430
711121151533222
oct1514245011312
9354450227200
10113323021002
1144072988a64
1219b67797b76
13a8bcaac719
1456b0673082
152e33be661c
hex1a629412ca

113323021002 has 80 divisors (see below), whose sum is σ = 260326974600. Its totient is φ = 36823818240.

The previous prime is 113323020989. The next prime is 113323021081. The reversal of 113323021002 is 200120323311.

It can be written as a sum of positive squares in 4 ways, for example, as 72313125921 + 41009895081 = 268911^2 + 202509^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9352524 + ... + 9364632.

Almost surely, 2113323021002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113323021002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130163487300).

113323021002 is an abundant number, since it is smaller than the sum of its proper divisors (147003953598).

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

113323021002 is a wasteful number, since it uses less digits than its factorization.

113323021002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13573 (or 13564 counting only the distinct ones).

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

Adding to 113323021002 its reverse (200120323311), we get a palindrome (313443344313).

The spelling of 113323021002 in words is "one hundred thirteen billion, three hundred twenty-three million, twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 1107 1409 2214 2818 3321 4227 6642 8454 12109 12681 24218 25362 36327 38043 57769 72654 76086 108981 114129 115538 173307 217962 228258 326943 346614 496469 519921 653886 980829 992938 1039842 1489407 1559763 1961658 2978814 3119526 4468221 4679289 8936442 9358578 13404663 17061581 26809326 34123162 40213989 51184743 80427978 102369486 153554229 307108458 460662687 699524821 921325374 1381988061 1399049642 2098574463 2763976122 4197148926 6295723389 12591446778 18887170167 37774340334 56661510501 113323021002