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112122200010 = 23517237349519
BaseRepresentation
bin110100001101100000…
…0001111111111001010
3101201101222200220111110
41220123000033333022
53314111240400020
6123301435511150
711046330655332
oct1503300177712
9351358626443
10112122200010
1143607071417
12198915b84b6
13a75b08b662
1455d8dac0c2
152db35978e0
hex1a1b00ffca

112122200010 has 96 divisors (see below), whose sum is σ = 293580023040. Its totient is φ = 27379842048.

The previous prime is 112122200009. The next prime is 112122200017. The reversal of 112122200010 is 10002221211.

It is not an unprimeable number, because it can be changed into a prime (112122200017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146031 + ... + 495549.

It is an arithmetic number, because the mean of its divisors is an integer number (3058125240).

Almost surely, 2112122200010 is an apocalyptic number.

112122200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112122200010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146790011520).

112122200010 is an abundant number, since it is smaller than the sum of its proper divisors (181457823030).

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

112122200010 is a wasteful number, since it uses less digits than its factorization.

112122200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349600 (or 349583 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112122200010 its reverse (10002221211), we get a palindrome (122124421221).

The spelling of 112122200010 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 37 51 74 85 102 111 170 185 222 255 289 370 510 555 578 629 867 1110 1258 1445 1734 1887 2890 3145 3774 4335 6290 8670 9435 10693 18870 21386 32079 53465 64158 106930 160395 320790 349519 699038 1048557 1747595 2097114 3495190 5242785 5941823 10485570 11883646 12932203 17825469 25864406 29709115 35650938 38796609 59418230 64661015 77593218 89127345 101010991 129322030 178254690 193983045 202021982 219847451 303032973 387966090 439694902 505054955 606065946 659542353 1010109910 1099237255 1319084706 1515164865 2198474510 3030329730 3297711765 3737406667 6595423530 7474813334 11212220001 18687033335 22424440002 37374066670 56061100005 112122200010