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112001320002 = 231113831739091
BaseRepresentation
bin110100001001111001…
…1001000010001000010
3101201002120020120022010
41220103303020101002
53313334314220002
6123241440553350
711043332340435
oct1502363102102
9351076216263
10112001320002
1143554909490
1219859022856
13a73c017020
1455c6d0381c
152da7b6b46c
hex1a13cc8442

112001320002 has 128 divisors (see below), whose sum is σ = 267903562752. Its totient is φ = 30769286400.

The previous prime is 112001320001. The next prime is 112001320027. The reversal of 112001320002 is 200023100211.

It is a self number, because there is not a number n which added to its sum of digits gives 112001320002.

It is not an unprimeable number, because it can be changed into a prime (112001320001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12315477 + ... + 12324567.

It is an arithmetic number, because the mean of its divisors is an integer number (2092996584).

Almost surely, 2112001320002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112001320002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133951781376).

112001320002 is an abundant number, since it is smaller than the sum of its proper divisors (155902242750).

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

112001320002 is a wasteful number, since it uses less digits than its factorization.

112001320002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9376.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 112001320002 its reverse (200023100211), we get a palindrome (312024420213).

The spelling of 112001320002 in words is "one hundred twelve billion, one million, three hundred twenty thousand, two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 83 143 166 173 249 286 346 429 498 519 858 913 1038 1079 1826 1903 2158 2249 2739 3237 3806 4498 5478 5709 6474 6747 9091 11418 11869 13494 14359 18182 23738 24739 27273 28718 35607 43077 49478 54546 71214 74217 86154 100001 118183 148434 157949 186667 200002 236366 300003 315898 354549 373334 473847 560001 600006 709098 754553 947694 1120002 1300013 1509106 1572743 2053337 2263659 2600026 3145486 3900039 4106674 4527318 4718229 6160011 7800078 8300083 9436458 9809189 12320022 16600166 17300173 19618378 20445659 24900249 29427567 34600346 40891318 49800498 51900519 58855134 61336977 103801038 107901079 122673954 130537669 215802158 224902249 261075338 323703237 391613007 449804498 647406474 674706747 783226014 1349413494 1435914359 1696989697 2871828718 3393979394 4307743077 5090969091 8615486154 10181938182 18666886667 37333773334 56000660001 112001320002