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112122210312 = 23337174362053
BaseRepresentation
bin110100001101100000…
…0010010100000001000
3101201101222201102122000
41220123000102200020
53314111241212222
6123301440031000
711046331030350
oct1503300224010
9351358642560
10112122210312
1143607079132
1219891602460
13a75b093258
1455d8db1b60
152db359a9ac
hex1a1b012808

112122210312 has 128 divisors (see below), whose sum is σ = 376881465600. Its totient is φ = 30150503424.

The previous prime is 112122210301. The next prime is 112122210349. The reversal of 112122210312 is 213012221211.

112122210312 is a `hidden beast` number, since 1 + 121 + 22 + 210 + 312 = 666.

112122210312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2155323 + ... + 2206730.

It is an arithmetic number, because the mean of its divisors is an integer number (2944386450).

Almost surely, 2112122210312 is an apocalyptic number.

112122210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112122210312 is an abundant number, since it is smaller than the sum of its proper divisors (264759255288).

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

112122210312 is a wasteful number, since it uses less digits than its factorization.

112122210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362092 (or 4362082 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112122210312 its reverse (213012221211), we get a palindrome (325134431523).

The spelling of 112122210312 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 25704 4362053 8724106 13086159 17448212 26172318 30534371 34896424 39258477 52344636 61068742 74154901 78516954 91603113 104689272 117775431 122137484 148309802 157033908 183206226 222464703 235550862 244274968 274809339 296619604 314067816 366412452 444929406 471101724 519084307 549618678 593239208 667394109 732824904 824428017 889858812 942203448 1038168614 1099237356 1334788218 1557252921 1648856034 1779717624 2002182327 2076337228 2198474712 2669576436 3114505842 3297712068 4004364654 4152674456 4671758763 5339152872 6229011684 6595424136 8008729308 9343517526 12458023368 14015276289 16017458616 18687035052 28030552578 37374070104 56061105156 112122210312