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23233101100 = 22521124740853
BaseRepresentation
bin10101101000110011…
…001111110100101100
32012222011011211011221
4111220303033310230
5340040133213400
614401221553124
71451511046426
oct255063176454
965864154157
1023233101100
119942530800
1246048757a4
132263465b01
1411a5849816
1590ea06c1a
hex568ccfd2c

23233101100 has 108 divisors (see below), whose sum is σ = 56596190112. Its totient is φ = 8268444800.

The previous prime is 23233101079. The next prime is 23233101137. The reversal of 23233101100 is 110133232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 548274 + ... + 589126.

Almost surely, 223233101100 is an apocalyptic number.

23233101100 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 23233101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28298095056).

23233101100 is an abundant number, since it is smaller than the sum of its proper divisors (33363089012).

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

23233101100 is a wasteful number, since it uses less digits than its factorization.

23233101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40936 (or 40918 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 23233101100 its reverse (110133232), we get a palindrome (23343234332).

The spelling of 23233101100 in words is "twenty-three billion, two hundred thirty-three million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 121 188 220 235 242 275 470 484 517 550 605 940 1034 1100 1175 1210 2068 2350 2420 2585 3025 4700 5170 5687 6050 10340 11374 12100 12925 22748 25850 28435 40853 51700 56870 81706 113740 142175 163412 204265 284350 408530 449383 568700 817060 898766 1021325 1797532 1920091 2042650 2246915 3840182 4085300 4493830 4943213 7680364 8987660 9600455 9886426 11234575 19200910 19772852 21121001 22469150 24716065 38401820 42242002 44938300 48002275 49432130 84484004 96004550 98864260 105605005 123580325 192009100 211210010 232331011 247160650 422420020 464662022 494321300 528025025 929324044 1056050050 1161655055 2112100100 2323310110 4646620220 5808275275 11616550550 23233101100