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100120120212 = 22371770112129
BaseRepresentation
bin101110100111110011…
…1111100101110010100
3100120102112200002012110
41131033213330232110
53120021222321322
6113554453351020
710143032660130
oct1351747745624
9316375602173
10100120120212
113950821a202
12174a2038470
1395976792a8
144bbadac3c0
15290ea65c0c
hex174f9fcb94

100120120212 has 48 divisors (see below), whose sum is σ = 282692108160. Its totient is φ = 26923057152.

The previous prime is 100120120159. The next prime is 100120120213. The reversal of 100120120212 is 212021021001.

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 (100120120213) 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, 35054637 + ... + 35057492.

It is an arithmetic number, because the mean of its divisors is an integer number (5889418920).

Almost surely, 2100120120212 is an apocalyptic number.

100120120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120120212 is an abundant number, since it is smaller than the sum of its proper divisors (182571987948).

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

100120120212 is a wasteful number, since it uses less digits than its factorization.

100120120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70112160 (or 70112158 counting only the distinct ones).

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

Adding to 100120120212 its reverse (212021021001), we get a palindrome (312141141213).

The spelling of 100120120212 in words is "one hundred billion, one hundred twenty million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 70112129 140224258 210336387 280448516 420672774 490784903 841345548 981569806 1191906193 1472354709 1963139612 2383812386 2944709418 3575718579 4767624772 5889418836 7151437158 8343343351 14302874316 16686686702 25030030053 33373373404 50060060106 100120120212