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23244100100 = 22521397718301
BaseRepresentation
bin10101101001011101…
…001101001000000100
32012222220212121222022
4111221131031020010
5340100442200400
614402253422312
71452003406454
oct255135151004
965886777868
1023244100100
119948763491
12460849a998
1322658172b0
1411a70add64
1591097ab85
hex56974d204

23244100100 has 72 divisors (see below), whose sum is σ = 54378243528. Its totient is φ = 8573184000.

The previous prime is 23244100073. The next prime is 23244100109. The reversal of 23244100100 is 100144232.

It can be written as a sum of positive squares in 12 ways, for example, as 11977551364 + 11266548736 = 109442^2 + 106144^2 .

It is not an unprimeable number, because it can be changed into a prime (23244100109) 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, 1260950 + ... + 1279250.

Almost surely, 223244100100 is an apocalyptic number.

23244100100 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 23244100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27189121764).

23244100100 is an abundant number, since it is smaller than the sum of its proper divisors (31134143428).

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

23244100100 is a wasteful number, since it uses less digits than its factorization.

23244100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19305 (or 19298 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 23244100100 its reverse (100144232), we get a palindrome (23344244332).

The spelling of 23244100100 in words is "twenty-three billion, two hundred forty-four million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 977 1300 1954 3908 4885 9770 12701 18301 19540 24425 25402 36602 48850 50804 63505 73204 91505 97700 127010 183010 237913 254020 317525 366020 457525 475826 635050 915050 951652 1189565 1270100 1830100 2379130 4758260 5947825 11895650 17880077 23791300 35760154 71520308 89400385 178800770 232441001 357601540 447001925 464882002 894003850 929764004 1162205005 1788007700 2324410010 4648820020 5811025025 11622050050 23244100100