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100122100212 = 22383979110267
BaseRepresentation
bin101110100111110111…
…1100000000111110100
3100120102200101200020210
41131033233200013310
53120022224201322
6113555004025420
710143055544541
oct1351757400764
9316380350223
10100122100212
1139509351872
12174a2832270
139597bc05a4
144bbb365bc8
15290ed0770c
hex174fbe01f4

100122100212 has 48 divisors (see below), whose sum is σ = 236480090112. Its totient is φ = 32965357920.

The previous prime is 100122100097. The next prime is 100122100217. The reversal of 100122100212 is 212001221001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122100217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9746703 + ... + 9756969.

It is an arithmetic number, because the mean of its divisors is an integer number (4926668544).

Almost surely, 2100122100212 is an apocalyptic number.

100122100212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100122100212 is an abundant number, since it is smaller than the sum of its proper divisors (136357989900).

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

100122100212 is a wasteful number, since it uses less digits than its factorization.

100122100212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20148 (or 20146 counting only the distinct ones).

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

Adding to 100122100212 its reverse (212001221001), we get a palindrome (312123321213).

The spelling of 100122100212 in words is "one hundred billion, one hundred twenty-two million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 83 166 249 332 498 996 9791 10267 19582 20534 29373 30801 39164 41068 58746 61602 117492 123204 812653 852161 1625306 1704322 2437959 2556483 3250612 3408644 4875918 5112966 9751836 10225932 100524197 201048394 301572591 402096788 603145182 1206290364 8343508351 16687016702 25030525053 33374033404 50061050106 100122100212