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113323313202 = 2311231015571327
BaseRepresentation
bin110100110001010011…
…0001000100000110010
3101211111200210210001020
41221202212020200302
53324041232010302
6124020543520310
711121154161141
oct1514246104062
9354450723036
10113323313202
1144073068550
1219b678b9096
13a8bcb82718
1456b070b758
152e33c52ebc
hex1a62988832

113323313202 has 128 divisors (see below), whose sum is σ = 261219852288. Its totient is φ = 32439264000.

The previous prime is 113323313197. The next prime is 113323313203. The reversal of 113323313202 is 202313323311.

It is not an unprimeable number, because it can be changed into a prime (113323313203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85397463 + ... + 85398789.

It is an arithmetic number, because the mean of its divisors is an integer number (2040780096).

Almost surely, 2113323313202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113323313202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130609926144).

113323313202 is an abundant number, since it is smaller than the sum of its proper divisors (147896539086).

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

113323313202 is a wasteful number, since it uses less digits than its factorization.

113323313202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 113323313202 its reverse (202313323311), we get a palindrome (315636636513).

The spelling of 113323313202 in words is "one hundred thirteen billion, three hundred twenty-three million, three hundred thirteen thousand, two hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 101 138 202 253 303 506 557 606 759 1111 1114 1327 1518 1671 2222 2323 2654 3333 3342 3981 4646 6127 6666 6969 7962 12254 12811 13938 14597 18381 25553 25622 29194 30521 36762 38433 43791 51106 56257 61042 76659 76866 87582 91563 112514 134027 140921 153318 168771 183126 268054 281842 335731 337542 402081 422763 618827 671462 739139 804162 845526 1007193 1237654 1293911 1474297 1478278 1856481 2014386 2217417 2587822 2948594 3082621 3712962 3881733 4422891 4434834 6165242 7763466 8130529 8845782 9247863 14233021 16261058 17000197 18495726 24391587 28466042 33908831 34000394 42699063 48783174 51000591 67817662 74653039 85398126 101726493 102001182 149306078 187002167 203452986 223959117 374004334 447918234 561006501 821183429 1122013002 1642366858 1717019897 2463550287 3434039794 4927100574 5151059691 10302119382 18887218867 37774437734 56661656601 113323313202