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112303321104 = 243131727738219
BaseRepresentation
bin110100010010111001…
…1001011000000010000
3101201212121111210221010
41220211303023000100
53314444122233404
6123331425530520
711053660323222
oct1504563130020
9351777453833
10112303321104
114369a32a377
12199221a3a40
13a7897658c0
145615078412
152dc4423189
hex1a25ccb010

112303321104 has 160 divisors (see below), whose sum is σ = 332014999680. Its totient is φ = 32403972096.

The previous prime is 112303321099. The next prime is 112303321153. The reversal of 112303321104 is 401123303211.

It is a super-2 number, since 2×1123033211042 (a number of 23 digits) contains 22 as substring.

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, 2919307 + ... + 2957525.

It is an arithmetic number, because the mean of its divisors is an integer number (2075093748).

Almost surely, 2112303321104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112303321104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166007499840).

112303321104 is an abundant number, since it is smaller than the sum of its proper divisors (219711678576).

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

112303321104 is a wasteful number, since it uses less digits than its factorization.

112303321104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38537 (or 38531 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 112303321104 its reverse (401123303211), we get a palindrome (513426624315).

The spelling of 112303321104 in words is "one hundred twelve billion, three hundred three million, three hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 136 156 204 208 221 272 277 312 408 442 554 624 663 816 831 884 1108 1326 1662 1768 2216 2652 3324 3536 3601 4432 4709 5304 6648 7202 9418 10608 10803 13296 14127 14404 18836 21606 28254 28808 37672 38219 43212 56508 57616 61217 75344 76438 86424 113016 114657 122434 152876 172848 183651 226032 229314 244868 305752 367302 458628 489736 496847 611504 649723 734604 917256 979472 993694 1299446 1469208 1490541 1834512 1949169 1987388 2598892 2938416 2981082 3898338 3974776 5197784 5962164 7796676 7949552 8446399 10395568 10586663 11924328 15593352 16892798 21173326 23848656 25339197 31186704 31759989 33785596 42346652 50678394 63519978 67571192 84693304 101356788 127039956 135142384 137626619 169386608 179973271 202713576 254079912 275253238 359946542 405427152 412879857 508159824 539919813 550506476 719893084 825759714 1079839626 1101012952 1439786168 1651519428 2159679252 2202025904 2339652523 2879572336 3303038856 4319358504 4679305046 6606077712 7018957569 8638717008 9358610092 14037915138 18717220184 28075830276 37434440368 56151660552 112303321104