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20202242100 = 223521928112613
BaseRepresentation
bin10010110100001001…
…011100000000110100
31221010221002020020220
4102310021130000310
5312333233221400
613140352054340
71313426140005
oct226411340064
957127066226
1020202242100
118627703557
123ab98343b0
131b9c568611
14d990cd1ac
157d38b97a0
hex4b425c034

20202242100 has 144 divisors (see below), whose sum is σ = 61752089280. Its totient is φ = 5085158400.

The previous prime is 20202242041. The next prime is 20202242101. The reversal of 20202242100 is 124220202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20202242100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202242101) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1595394 + ... + 1608006.

Almost surely, 220202242100 is an apocalyptic number.

20202242100 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 20202242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30876044640).

20202242100 is an abundant number, since it is smaller than the sum of its proper divisors (41549847180).

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

20202242100 is a wasteful number, since it uses less digits than its factorization.

20202242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12930 (or 12923 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20202242100 its reverse (124220202), we get a palindrome (20326462302).

The spelling of 20202242100 in words is "twenty billion, two hundred two million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 281 285 300 380 475 562 570 843 950 1124 1140 1405 1425 1686 1900 2810 2850 3372 4215 5339 5620 5700 7025 8430 10678 12613 14050 16017 16860 21075 21356 25226 26695 28100 32034 37839 42150 50452 53390 63065 64068 75678 80085 84300 106780 126130 133475 151356 160170 189195 239647 252260 266950 315325 320340 378390 400425 479294 533900 630650 718941 756780 800850 945975 958588 1198235 1261300 1437882 1601700 1891950 2396470 2875764 3544253 3594705 3783900 4792940 5991175 7088506 7189410 10632759 11982350 14177012 14378820 17721265 17973525 21265518 23964700 35442530 35947050 42531036 53163795 67340807 70885060 71894100 88606325 106327590 134681614 177212650 202022421 212655180 265818975 269363228 336704035 354425300 404044842 531637950 673408070 808089684 1010112105 1063275900 1346816140 1683520175 2020224210 3367040350 4040448420 5050560525 6734080700 10101121050 20202242100