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23323112100 = 22325261424829
BaseRepresentation
bin10101101110001010…
…100111001010100100
32020012102112212001200
4111232022213022210
5340231204041400
614414155122500
71453653116241
oct255612471244
966172485050
1023323112100
11998931a362
12462aa43430
132278cbca62
1411b379a5c8
15917886b00
hex56e2a72a4

23323112100 has 108 divisors (see below), whose sum is σ = 74303616660. Its totient is φ = 6117523200.

The previous prime is 23323112083. The next prime is 23323112101. The reversal of 23323112100 is 121132332.

23323112100 is a `hidden beast` number, since 2 + 332 + 311 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5169322404 + 18153789696 = 71898^2 + 134736^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (23323112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 157515 + ... + 267314.

Almost surely, 223323112100 is an apocalyptic number.

23323112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23323112100 is an abundant number, since it is smaller than the sum of its proper divisors (50980504560).

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

23323112100 is a wasteful number, since it uses less digits than its factorization.

23323112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424910 (or 424900 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23323112100 its reverse (121132332), we get a palindrome (23444244432).

The spelling of 23323112100 in words is "twenty-three billion, three hundred twenty-three million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 61 75 90 100 122 150 180 183 225 244 300 305 366 450 549 610 732 900 915 1098 1220 1525 1830 2196 2745 3050 3660 4575 5490 6100 9150 10980 13725 18300 27450 54900 424829 849658 1274487 1699316 2124145 2548974 3823461 4248290 5097948 6372435 7646922 8496580 10620725 12744870 15293844 19117305 21241450 25489740 25914569 31862175 38234610 42482900 51829138 63724350 76469220 77743707 95586525 103658276 127448700 129572845 155487414 191173050 233231121 259145690 310974828 382346100 388718535 466462242 518291380 647864225 777437070 932924484 1166155605 1295728450 1554874140 1943592675 2332311210 2591456900 3887185350 4664622420 5830778025 7774370700 11661556050 23323112100