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23201223100 = 22521189269881
BaseRepresentation
bin10101100110111001…
…101001000110111100
32012212221012020210021
4111212321221012330
5340004003114400
614354122421524
71450643066566
oct254671510674
965787166707
1023201223100
119926538350
1245b60618a4
1322599840a3
1411a150c336
1590bd0b71a
hex566e691bc

23201223100 has 144 divisors (see below), whose sum is σ = 55810490400. Its totient is φ = 8301568000.

The previous prime is 23201223053. The next prime is 23201223103. The reversal of 23201223100 is 132210232.

It is a super-2 number, since 2×232012231002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23201223103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26334660 + ... + 26335540.

It is an arithmetic number, because the mean of its divisors is an integer number (387572850).

Almost surely, 223201223100 is an apocalyptic number.

23201223100 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 23201223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27905245200).

23201223100 is an abundant number, since it is smaller than the sum of its proper divisors (32609267300).

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

23201223100 is a wasteful number, since it uses less digits than its factorization.

23201223100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23201223100 its reverse (132210232), we get a palindrome (23333433332).

The spelling of 23201223100 in words is "twenty-three billion, two hundred one million, two hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 89 100 110 178 220 269 275 356 445 538 550 881 890 979 1076 1100 1345 1762 1780 1958 2225 2690 2959 3524 3916 4405 4450 4895 5380 5918 6725 8810 8900 9691 9790 11836 13450 14795 17620 19382 19580 22025 23941 24475 26900 29590 38764 44050 47882 48455 48950 59180 73975 78409 88100 95764 96910 97900 119705 147950 156818 193820 236989 239410 242275 263351 295900 313636 392045 473978 478820 484550 526702 598525 784090 862499 947956 969100 1053404 1184945 1197050 1316755 1568180 1724998 1960225 2369890 2394100 2606879 2633510 3449996 3920450 4312495 4739780 5213758 5267020 5924725 6583775 7840900 8624990 10427516 11849450 13034395 13167550 17249980 21092021 21562475 23698900 26068790 26335100 42184042 43124950 52137580 65171975 84368084 86249900 105460105 130343950 210920210 232012231 260687900 421840420 464024462 527300525 928048924 1054601050 1160061155 2109202100 2320122310 4640244620 5800305775 11600611550 23201223100