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22100120112112 = 2472394491838791
BaseRepresentation
bin1010000011001100101011…
…10011110000101111110000
32220020202021100222000201021
411001212111303300233300
510344042021222041422
6115000353252345224
74440452402314360
oct501462563605760
986222240860637
1022100120112112
117050676721a29
12258b199615214
13c440561c07a3
14565919ab69a0
15284d1c8c6dc7
hex141995cf0bf0

22100120112112 has 80 divisors (see below), whose sum is σ = 49250204928000. Its totient is φ = 9410838958080.

The previous prime is 22100120112061. The next prime is 22100120112137. The reversal of 22100120112112 is 21121102100122.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11099437 + ... + 12938227.

It is an arithmetic number, because the mean of its divisors is an integer number (615627561600).

Almost surely, 222100120112112 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 22100120112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24625102464000).

22100120112112 is an abundant number, since it is smaller than the sum of its proper divisors (27150084815888).

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

22100120112112 is a wasteful number, since it uses less digits than its factorization.

22100120112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839494 (or 1839488 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 22100120112112 its reverse (21121102100122), we get a palindrome (43221222212234).

The spelling of 22100120112112 in words is "twenty-two trillion, one hundred billion, one hundred twenty million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 112 239 449 478 898 956 1673 1796 1912 3143 3346 3592 3824 6286 6692 7184 12572 13384 25144 26768 50288 107311 214622 429244 751177 858488 1502354 1716976 1838791 3004708 3677582 6009416 7355164 12018832 12871537 14710328 25743074 29420656 51486148 102972296 205944592 439471049 825617159 878942098 1651234318 1757884196 3076297343 3302468636 3515768392 5779320113 6152594686 6604937272 7031536784 11558640226 12305189372 13209874544 23117280452 24610378744 46234560904 49220757488 92469121808 197322501001 394645002002 789290004004 1381257507007 1578580008008 2762515014014 3157160016016 5525030028028 11050060056056 22100120112112