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23221122100 = 225211210119001
BaseRepresentation
bin10101101000000101…
…100011010000110100
32012221022122020002021
4111220011203100310
5340024101401400
614400113122524
71451304165301
oct255005432064
965838566067
1023221122100
119936799800
124600859444
132260b30547
1411a400c0a8
1590d93c71a
hex568163434

23221122100 has 108 divisors (see below), whose sum is σ = 55938505644. Its totient is φ = 8360000000.

The previous prime is 23221122059. The next prime is 23221122101. The reversal of 23221122100 is 122112232.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 37405456 + 23183716644 = 6116^2 + 152262^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23221122101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1212600 + ... + 1231600.

Almost surely, 223221122100 is an apocalyptic number.

23221122100 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 23221122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27969252822).

23221122100 is an abundant number, since it is smaller than the sum of its proper divisors (32717383544).

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

23221122100 is a wasteful number, since it uses less digits than its factorization.

23221122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19138 (or 19120 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 23221122100 its reverse (122112232), we get a palindrome (23343234332).

The spelling of 23221122100 in words is "twenty-three billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 121 202 220 242 275 404 484 505 550 605 1010 1100 1111 1210 2020 2222 2420 2525 3025 4444 5050 5555 6050 10100 11110 12100 12221 19001 22220 24442 27775 38002 48884 55550 61105 76004 95005 111100 122210 190010 209011 244420 305525 380020 418022 475025 611050 836044 950050 1045055 1222100 1900100 1919101 2090110 2299121 3838202 4180220 4598242 5225275 7676404 9196484 9595505 10450550 11495605 19191010 20901100 21110111 22991210 38382020 42220222 45982420 47977525 57478025 84440444 95955050 105550555 114956050 191910100 211101110 229912100 232211221 422202220 464422442 527752775 928844884 1055505550 1161056105 2111011100 2322112210 4644224420 5805280525 11610561050 23221122100