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23233011100 = 22521353449751
BaseRepresentation
bin10101101000110010…
…111001110110011100
32012222011000020201121
4111220302321312130
5340040122323400
614401220020324
71451510223145
oct255062716634
965864006647
1023233011100
11994247a122
1246048316a4
132263433b60
1411a5824acc
1590e9da21a
hex568cb9d9c

23233011100 has 144 divisors (see below), whose sum is σ = 55515196800. Its totient is φ = 8386560000.

The previous prime is 23233011079. The next prime is 23233011107. The reversal of 23233011100 is 111033232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23233011107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30935725 + ... + 30936475.

It is an arithmetic number, because the mean of its divisors is an integer number (385522200).

Almost surely, 223233011100 is an apocalyptic number.

23233011100 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 23233011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27757598400).

23233011100 is an abundant number, since it is smaller than the sum of its proper divisors (32282185700).

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

23233011100 is a wasteful number, since it uses less digits than its factorization.

23233011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1273 counting only the distinct ones).

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

Adding to 23233011100 its reverse (111033232), we get a palindrome (23344044332).

The spelling of 23233011100 in words is "twenty-three billion, two hundred thirty-three million, eleven thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 212 260 265 325 449 530 650 689 751 898 1060 1300 1325 1378 1502 1796 2245 2650 2756 3004 3445 3755 4490 5300 5837 6890 7510 8980 9763 11225 11674 13780 15020 17225 18775 19526 22450 23348 23797 29185 34450 37550 39052 39803 44900 47594 48815 58370 68900 75100 79606 95188 97630 116740 118985 145925 159212 195260 199015 237970 244075 291850 309361 337199 398030 475940 488150 517439 583700 594925 618722 674398 796060 976300 995075 1034878 1189850 1237444 1348796 1546805 1685995 1990150 2069756 2379700 2587195 3093610 3371990 3980300 4383587 5174390 6187220 6743980 7734025 8429975 8767174 10348780 12935975 15468050 16859950 17534348 17871547 21917935 25871950 30936100 33719900 35743094 43835870 51743900 71486188 87671740 89357735 109589675 178715470 219179350 232330111 357430940 438358700 446788675 464660222 893577350 929320444 1161650555 1787154700 2323301110 4646602220 5808252775 11616505550 23233011100