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113402313552 = 24311972638419
BaseRepresentation
bin110100110011101001…
…1011111101101010000
3101211201012110102011010
41221213103133231100
53324221443013202
6124032445050520
711123133521643
oct1514723375520
9354635412133
10113402313552
11441037166a0
1219b8a256a40
13a903352aa8
1456badd3a5a
152e3ab5a76c
hex1a674dfb50

113402313552 has 160 divisors (see below), whose sum is σ = 324149253120. Its totient is φ = 33876725760.

The previous prime is 113402313511. The next prime is 113402313569. The reversal of 113402313552 is 255313204311.

It is a super-2 number, since 2×1134023135522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13465599 + ... + 13474017.

It is an arithmetic number, because the mean of its divisors is an integer number (2025932832).

Almost surely, 2113402313552 is an apocalyptic number.

113402313552 is a gapful number since it is divisible by the number (12) 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 113402313552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162074626560).

113402313552 is an abundant number, since it is smaller than the sum of its proper divisors (210746939568).

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

113402313552 is a wasteful number, since it uses less digits than its factorization.

113402313552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8801 (or 8795 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 113402313552 its reverse (255313204311), we get a palindrome (368715517863).

The spelling of 113402313552 in words is "one hundred thirteen billion, four hundred two million, three hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 97 132 176 194 263 264 291 388 526 528 582 776 789 1052 1067 1164 1552 1578 2104 2134 2328 2893 3156 3201 4208 4268 4656 5786 6312 6402 8419 8536 8679 11572 12624 12804 16838 17072 17358 23144 25257 25511 25608 33676 34716 46288 50514 51022 51216 67352 69432 76533 92609 101028 102044 134704 138864 153066 185218 202056 204088 277827 280621 306132 370436 404112 408176 555654 561242 612264 740872 816643 841863 1111308 1122484 1224528 1481744 1633286 1683726 2214197 2222616 2244968 2449929 3266572 3367452 4428394 4445232 4489936 4899858 6533144 6642591 6734904 8856788 8983073 9799716 13066288 13285182 13469808 17713576 17966146 19599432 24356167 26570364 26949219 35427152 35932292 39198864 48712334 53140728 53898438 71864584 73068501 97424668 106281456 107796876 143729168 146137002 194849336 214777109 215593752 292274004 389698672 429554218 431187504 584548008 644331327 859108436 1169096016 1288662654 1718216872 2362548199 2577325308 3436433744 4725096398 5154650616 7087644597 9450192796 10309301232 14175289194 18900385592 28350578388 37800771184 56701156776 113402313552