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23201203100 = 2252733379431
BaseRepresentation
bin10101100110111001…
…100100001110011100
32012212221011020100112
4111212321210032130
5340004001444400
614354122145152
71450642654355
oct254671441634
965787136315
1023201203100
119926524319
1245b60521b8
132259977c5a
1411a1504d2c
1590bd05835
hex566e6439c

23201203100 has 72 divisors (see below), whose sum is σ = 51193160928. Its totient is φ = 9125222400.

The previous prime is 23201203099. The next prime is 23201203127. The reversal of 23201203100 is 130210232.

It is a happy number.

It is a super-2 number, since 2×232012031002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 2455385 + ... + 2464815.

It is an arithmetic number, because the mean of its divisors is an integer number (711016124).

Almost surely, 223201203100 is an apocalyptic number.

23201203100 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 23201203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25596580464).

23201203100 is an abundant number, since it is smaller than the sum of its proper divisors (27991957828).

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

23201203100 is a wasteful number, since it uses less digits than its factorization.

23201203100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9855 (or 9848 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23201203100 its reverse (130210232), we get a palindrome (23331413332).

The spelling of 23201203100 in words is "twenty-three billion, two hundred one million, two hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 146 292 337 365 674 730 1348 1460 1685 1825 3370 3650 6740 7300 8425 9431 16850 18862 24601 33700 37724 47155 49202 94310 98404 123005 188620 235775 246010 471550 492020 615025 688463 943100 1230050 1376926 2460100 2753852 3178247 3442315 6356494 6884630 12712988 13769260 15891235 17211575 31782470 34423150 63564940 68846300 79456175 158912350 232012031 317824700 464024062 928048124 1160060155 2320120310 4640240620 5800300775 11600601550 23201203100