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23020200100 = 22523110497079
BaseRepresentation
bin10101011100000111…
…000110000010100100
32012102022120022220201
4111130013012002210
5334121132400400
614324134440244
71443314321002
oct253407060244
965368508821
1023020200100
119843337067
124565503084
13222b3126a1
141185469a72
158eaea006a
hex55c1c60a4

23020200100 has 72 divisors (see below), whose sum is σ = 51621696000. Its totient is φ = 8901292800.

The previous prime is 23020200079. The next prime is 23020200121. The reversal of 23020200100 is 100202032.

It is an interprime number because it is at equal distance from previous prime (23020200079) and next prime (23020200121).

It is a super-2 number, since 2×230202001002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 3248361 + ... + 3255439.

It is an arithmetic number, because the mean of its divisors is an integer number (716968000).

Almost surely, 223020200100 is an apocalyptic number.

23020200100 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 23020200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25810848000).

23020200100 is an abundant number, since it is smaller than the sum of its proper divisors (28601495900).

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

23020200100 is a wasteful number, since it uses less digits than its factorization.

23020200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8173 (or 8166 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 23020200100 its reverse (100202032), we get a palindrome (23120402132).

The spelling of 23020200100 in words is "twenty-three billion, twenty million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1049 1550 2098 3100 4196 5245 7079 10490 14158 20980 26225 28316 32519 35395 52450 65038 70790 104900 130076 141580 162595 176975 219449 325190 353950 438898 650380 707900 812975 877796 1097245 1625950 2194490 3251900 4388980 5486225 7425871 10972450 14851742 21944900 29703484 37129355 74258710 148517420 185646775 230202001 371293550 460404002 742587100 920808004 1151010005 2302020010 4604040020 5755050025 11510100050 23020200100