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20100302100 = 22325252342703
BaseRepresentation
bin10010101110000100…
…100100010100010100
31220212211021010212100
4102232010210110110
5312131134131400
613122311122100
71311050514564
oct225604442424
956784233770
1020100302100
11858510751a
123a8b673330
131b843c5aa8
14d89754da4
157c9980100
hex4ae124514

20100302100 has 108 divisors (see below), whose sum is σ = 63125223616. Its totient is φ = 5349706560.

The previous prime is 20100302077. The next prime is 20100302113. The reversal of 20100302100 is 120300102.

It is a happy number.

It is a super-2 number, since 2×201003021002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 449349 + ... + 492051.

Almost surely, 220100302100 is an apocalyptic number.

20100302100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31562611808).

20100302100 is an abundant number, since it is smaller than the sum of its proper divisors (43024921516).

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

20100302100 is a wasteful number, since it uses less digits than its factorization.

20100302100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43246 (or 43236 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20100302100 its reverse (120300102), we get a palindrome (20220602202).

The spelling of 20100302100 in words is "twenty billion, one hundred million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 523 900 1046 1569 2092 2615 3138 4707 5230 6276 7845 9414 10460 13075 15690 18828 23535 26150 31380 39225 42703 47070 52300 78450 85406 94140 117675 128109 156900 170812 213515 235350 256218 384327 427030 470700 512436 640545 768654 854060 1067575 1281090 1537308 1921635 2135150 2562180 3202725 3843270 4270300 6405450 7686540 9608175 12810900 19216350 22333669 38432700 44667338 67001007 89334676 111668345 134002014 201003021 223336690 268004028 335005035 402006042 446673380 558341725 670010070 804012084 1005015105 1116683450 1340020140 1675025175 2010030210 2233366900 3350050350 4020060420 5025075525 6700100700 10050151050 20100302100