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100112002111220 = 225111726767915003
BaseRepresentation
bin10110110000110100100100…
…010100101101011011110100
3111010110121120120001021221012
4112300310210110231123310
5101110213340020024340
6552530452512411352
730041565511316531
oct2660644424553364
9433417516037835
10100112002111220
1129998297306060
12b28a462b46b58
1343b26a1379138
141aa1637c7dd88
15b89222545565
hex5b0d2452d6f4

100112002111220 has 48 divisors (see below), whose sum is σ = 242838524916288. Its totient is φ = 34262931202560.

The previous prime is 100112002111213. The next prime is 100112002111223. The reversal of 100112002111220 is 22111200211001.

It is a junction number, because it is equal to n+sod(n) for n = 100112002111195 and 100112002111204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112002111223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13383953762 + ... + 13383961241.

It is an arithmetic number, because the mean of its divisors is an integer number (5059135935756).

Almost surely, 2100112002111220 is an apocalyptic number.

100112002111220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100112002111220 is an abundant number, since it is smaller than the sum of its proper divisors (142726522805068).

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

100112002111220 is a wasteful number, since it uses less digits than its factorization.

100112002111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26767915040 (or 26767915038 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100112002111220 its reverse (22111200211001), we get a palindrome (122223202322221).

The spelling of 100112002111220 in words is "one hundred trillion, one hundred twelve billion, two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 26767915003 53535830006 107071660012 133839575015 267679150030 294447065033 455054555051 535358300060 588894130066 910109110102 1177788260132 1472235325165 1820218220204 2275272775255 2944470650330 4550545550510 5005600105561 5888941300660 9101091101020 10011200211122 20022400422244 25028000527805 50056001055610 100112002111220