Search a number
-
+
112322401224 = 233111726779349
BaseRepresentation
bin110100010011011101…
…1111101001111001000
3101201220221102011221020
41220212323331033020
53320014013314344
6123333350512440
711054311441335
oct1504673751710
9351827364836
10112322401224
11436aa081570
1219928665720
13a7906b6407
14561780398c
152dc5e41719
hex1a26efd3c8

112322401224 has 128 divisors (see below), whose sum is σ = 324509328000. Its totient is φ = 32019517440.

The previous prime is 112322401211. The next prime is 112322401237. The reversal of 112322401224 is 422104223211.

It is an interprime number because it is at equal distance from previous prime (112322401211) and next prime (112322401237).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 112322401194 and 112322401203.

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, 12009702 + ... + 12019050.

It is an arithmetic number, because the mean of its divisors is an integer number (2535229125).

Almost surely, 2112322401224 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 112322401224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162254664000).

112322401224 is an abundant number, since it is smaller than the sum of its proper divisors (212186926776).

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

112322401224 is a wasteful number, since it uses less digits than its factorization.

112322401224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12063 (or 12059 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 112322401224 its reverse (422104223211), we get a palindrome (534426624435).

The spelling of 112322401224 in words is "one hundred twelve billion, three hundred twenty-two million, four hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 2677 4488 5354 8031 9349 10708 16062 18698 21416 28047 29447 32124 37396 45509 56094 58894 64248 74792 88341 91018 102839 112188 117788 136527 158933 176682 182036 205678 224376 235576 273054 308517 317866 353364 364072 411356 476799 500599 546108 617034 635732 706728 822712 953598 1001198 1092216 1234068 1271464 1501797 1748263 1907196 2002396 2468136 3003594 3496526 3814392 4004792 5244789 6007188 6993052 10489578 12014376 13986104 20979156 25027273 41958312 50054546 75081819 100109092 150163638 200218184 275300003 300327276 425463641 550600006 600654552 825900009 850927282 1101200012 1276390923 1651800018 1701854564 2202400024 2552781846 3303600036 3403709128 4680100051 5105563692 6607200072 9360200102 10211127384 14040300153 18720400204 28080600306 37440800408 56161200612 112322401224