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100220121012 = 223111744661373
BaseRepresentation
bin101110101010110010…
…1011010111110110100
3100120200111211122111210
41131111211122332310
53120222322333022
6114012425001420
710145355654504
oct1352545327664
9316614748453
10100220121012
11395597112a0
121750b623270
1395b22c026b
144bca39da04
15291871aa0c
hex175595afb4

100220121012 has 48 divisors (see below), whose sum is σ = 270111989952. Its totient is φ = 28583278080.

The previous prime is 100220120951. The next prime is 100220121013. The reversal of 100220121012 is 210121022001.

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 (100220121013) 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, 22328443 + ... + 22332930.

It is an arithmetic number, because the mean of its divisors is an integer number (5627333124).

Almost surely, 2100220121012 is an apocalyptic number.

100220121012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100220121012 is an abundant number, since it is smaller than the sum of its proper divisors (169891868940).

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

100220121012 is a wasteful number, since it uses less digits than its factorization.

100220121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44661408 (or 44661406 counting only the distinct ones).

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

Adding to 100220121012 its reverse (210121022001), we get a palindrome (310341143013).

The spelling of 100220121012 in words is "one hundred billion, two hundred twenty million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 2244 44661373 89322746 133984119 178645492 267968238 491275103 535936476 759243341 982550206 1473825309 1518486682 1965100412 2277730023 2947650618 3036973364 4555460046 5895301236 8351676751 9110920092 16703353502 25055030253 33406707004 50110060506 100220121012