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23332320100 = 22522389113983
BaseRepresentation
bin10101101110101101…
…101111001101100100
32020020001212200001201
4111232231233031210
5340241033220400
614415124332244
71454124306565
oct255655571544
966201780051
1023332320100
119993539481
124631b44084
13227ab94c8b
1411b4ab616c
159185a506a
hex56eb6f364

23332320100 has 72 divisors (see below), whose sum is σ = 53426580480. Its totient is φ = 8826766080.

The previous prime is 23332320071. The next prime is 23332320107. The reversal of 23332320100 is 102323332.

It is a happy number.

It is a super-2 number, since 2×233323201002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23332320107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147709 + ... + 261691.

It is an arithmetic number, because the mean of its divisors is an integer number (742035840).

Almost surely, 223332320100 is an apocalyptic number.

23332320100 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 23332320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26713290240).

23332320100 is an abundant number, since it is smaller than the sum of its proper divisors (30094260380).

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

23332320100 is a wasteful number, since it uses less digits than its factorization.

23332320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114109 (or 114102 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 23332320100 its reverse (102323332), we get a palindrome (23434643432).

The spelling of 23332320100 in words is "twenty-three billion, three hundred thirty-two million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 89 92 100 115 178 230 356 445 460 575 890 1150 1780 2047 2225 2300 4094 4450 8188 8900 10235 20470 40940 51175 102350 113983 204700 227966 455932 569915 1139830 2279660 2621609 2849575 5243218 5699150 10144487 10486436 11398300 13108045 20288974 26216090 40577948 50722435 52432180 65540225 101444870 131080450 202889740 233323201 253612175 262160900 466646402 507224350 933292804 1014448700 1166616005 2333232010 4666464020 5833080025 11666160050 23332320100