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20154552100 = 22521910799137
BaseRepresentation
bin10010110001010011…
…100000111100100100
31221000121100022212121
4102301103200330210
5312234031131400
613131525555324
71312306603054
oct226123407444
957017308777
1020154552100
1186027a0331
123aa5875b44
131b9270b797
14d92a37564
157ce5e921a
hex4b14e0f24

20154552100 has 72 divisors (see below), whose sum is σ = 46467963360. Its totient is φ = 7566059520.

The previous prime is 20154552097. The next prime is 20154552139. The reversal of 20154552100 is 125545102.

It is a super-2 number, since 2×201545521002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153732 + ... + 252868.

It is an arithmetic number, because the mean of its divisors is an integer number (645388380).

Almost surely, 220154552100 is an apocalyptic number.

20154552100 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 20154552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23233981680).

20154552100 is an abundant number, since it is smaller than the sum of its proper divisors (26313411260).

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

20154552100 is a wasteful number, since it uses less digits than its factorization.

20154552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99277 (or 99270 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The spelling of 20154552100 in words is "twenty billion, one hundred fifty-four million, five hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 107 190 214 380 428 475 535 950 1070 1900 2033 2140 2675 4066 5350 8132 10165 10700 20330 40660 50825 99137 101650 198274 203300 396548 495685 991370 1883603 1982740 2478425 3767206 4956850 7534412 9418015 9913700 10607659 18836030 21215318 37672060 42430636 47090075 53038295 94180150 106076590 188360300 201545521 212153180 265191475 403091042 530382950 806182084 1007727605 1060765900 2015455210 4030910420 5038638025 10077276050 20154552100