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113298213604 = 22312612892
BaseRepresentation
bin110100110000100011…
…0011000101011100100
3101211102221120120212111
41221201012120223210
53324013320313404
6124014245530404
711120430632362
oct1514106305344
9354387516774
10113298213604
114405a984884
1219b5b413a04
13a8b79050a4
1456ab256632
152e31946104
hex1a61198ae4

113298213604 has 81 divisors (see below), whose sum is σ = 210654315963. Its totient is φ = 53317123200.

The previous prime is 113298213569. The next prime is 113298213641. The reversal of 113298213604 is 406312892311.

It is a happy number.

The square root of 113298213604 is 336598.

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

It can be written as a sum of positive squares in 4 ways, for example, as 73442084004 + 39856129600 = 271002^2 + 199640^2 .

It is a super-3 number, since 3×1132982136043 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1273013592 + ... + 1273013680.

Almost surely, 2113298213604 is an apocalyptic number.

113298213604 is the 336598-th square number.

It is an amenable number.

113298213604 is a deficient number, since it is larger than the sum of its proper divisors (97356102359).

113298213604 is an frugal number, since it uses more digits than its factorization.

113298213604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 113298213604 in words is "one hundred thirteen billion, two hundred ninety-eight million, two hundred thirteen thousand, six hundred four".

Divisors: 1 2 4 31 61 62 89 122 124 178 244 356 961 1891 1922 2759 3721 3782 3844 5429 5518 7442 7564 7921 10858 11036 14884 15842 21716 31684 58621 85529 115351 117242 168299 171058 230702 234484 245551 331169 336598 342116 461404 483181 491102 662338 673196 966362 982204 1324676 1932724 3575881 5217269 7151762 7612081 10266239 10434538 14303524 14978611 15224162 20532478 20869076 29474041 29957222 30448324 41064956 58948082 59914444 117896164 318253409 464336941 636506818 913695271 928673882 1273013636 1827390542 1857347764 3654781084 28324553401 56649106802 113298213604