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112323201320 = 23511271326863
BaseRepresentation
bin110100010011011111…
…1000000100100101000
3101201220222220211110102
41220212333000210220
53320014214420240
6123333420004532
711054321313101
oct1504677004450
9351828824412
10112323201320
11436aa578700
1219928990748
13a790906645
1456179713a8
152dc604d815
hex1a26fc0928

112323201320 has 96 divisors (see below), whose sum is σ = 281704469760. Its totient is φ = 40269398400.

The previous prime is 112323201311. The next prime is 112323201337. The reversal of 112323201320 is 23102323211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 112323201292 and 112323201301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180209 + ... + 507071.

It is an arithmetic number, because the mean of its divisors is an integer number (2934421560).

Almost surely, 2112323201320 is an apocalyptic number.

112323201320 is a gapful number since it is divisible by the number (10) 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 112323201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140852234880).

112323201320 is an abundant number, since it is smaller than the sum of its proper divisors (169381268440).

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

112323201320 is a wasteful number, since it uses less digits than its factorization.

112323201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326967 (or 326952 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 112323201320 its reverse (23102323211), we get a palindrome (135425524531).

The spelling of 112323201320 in words is "one hundred twelve billion, three hundred twenty-three million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 71 88 110 121 142 220 242 284 355 440 484 568 605 710 781 968 1210 1420 1562 2420 2840 3124 3905 4840 6248 7810 8591 15620 17182 31240 34364 42955 68728 85910 171820 326863 343640 653726 1307452 1634315 2614904 3268630 3595493 6537260 7190986 13074520 14381972 17977465 23207273 28763944 35954930 39550423 46414546 71909860 79100846 92829092 116036365 143819720 158201692 185658184 197752115 232072730 255280003 316403384 395504230 464145460 510560006 791008460 928290920 1021120012 1276400015 1582016920 2042240024 2552800030 2808080033 5105600060 5616160066 10211200120 11232320132 14040400165 22464640264 28080800330 56161600660 112323201320