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23330200100 = 22523123931489
BaseRepresentation
bin10101101110100101…
…101001101000100100
32020012220212221222012
4111232211221220210
5340240012400400
614415011053352
71454100300044
oct255645515044
966186787865
1023330200100
119992320709
1246312a1258
13227a60203c
1411b46c3724
159182d6d35
hex56e969a24

23330200100 has 72 divisors (see below), whose sum is σ = 52479974400. Its totient is φ = 8992972800.

The previous prime is 23330200079. The next prime is 23330200109. The reversal of 23330200100 is 100203332.

It is not an unprimeable number, because it can be changed into a prime (23330200109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725156 + ... + 756644.

Almost surely, 223330200100 is an apocalyptic number.

23330200100 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 23330200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26239987200).

23330200100 is an abundant number, since it is smaller than the sum of its proper divisors (29149774300).

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

23330200100 is a wasteful number, since it uses less digits than its factorization.

23330200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31773 (or 31766 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 23330200100 its reverse (100203332), we get a palindrome (23430403432).

The spelling of 23330200100 in words is "twenty-three billion, three hundred thirty million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 239 310 478 620 775 956 1195 1550 2390 3100 4780 5975 7409 11950 14818 23900 29636 31489 37045 62978 74090 125956 148180 157445 185225 314890 370450 629780 740900 787225 976159 1574450 1952318 3148900 3904636 4880795 7525871 9761590 15051742 19523180 24403975 30103484 37629355 48807950 75258710 97615900 150517420 188146775 233302001 376293550 466604002 752587100 933208004 1166510005 2333020010 4666040020 5832550025 11665100050 23330200100