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100220012112 = 24311375130017
BaseRepresentation
bin101110101010110010…
…1000000011001010000
3100120200111122010010110
41131111211000121100
53120222310341422
6114012422401320
710145355022143
oct1352545003120
9316614563113
10100220012112
11395596474a0
121750b590240
1395b228281c
144bca37205a
1529186e860c
hex1755940650

100220012112 has 80 divisors (see below), whose sum is σ = 290071737792. Its totient is φ = 29548892160.

The previous prime is 100220012083. The next prime is 100220012117. The reversal of 100220012112 is 211210022001.

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 (100220012117) 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, 2545473 + ... + 2584544.

Almost surely, 2100220012112 is an apocalyptic number.

100220012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100220012112 is an abundant number, since it is smaller than the sum of its proper divisors (189851725680).

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

100220012112 is a wasteful number, since it uses less digits than its factorization.

100220012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130076 (or 5130070 counting only the distinct ones).

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

Adding to 100220012112 its reverse (211210022001), we get a palindrome (311430034113).

It can be divided in two parts, 10022001 and 2112, that multiplied together give a palindrome (21166466112).

The spelling of 100220012112 in words is "one hundred billion, two hundred twenty million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 5130017 10260034 15390051 20520068 30780102 41040136 56430187 61560204 82080272 112860374 123120408 169290561 189810629 225720748 246240816 338581122 379621258 451441496 569431887 677162244 759242516 902882992 1138863774 1354324488 1518485032 2087916919 2277727548 2708648976 3036970064 4175833838 4555455096 6263750757 8351667676 9110910192 12527501514 16703335352 25055003028 33406670704 50110006056 100220012112