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23233201332100 = 22522274891021289
BaseRepresentation
bin1010100100001011001101…
…01101100101111110000100
310001021001221202011220000221
411102011212231211332010
511021123044020111400
6121225104011314124
74615354246630414
oct522054655457604
9101231852156027
1023233201332100
117448166511151
12273290014b944
13cc6b5c811b36
145a46c88d4644
152a453773ac1a
hex152166b65f84

23233201332100 has 36 divisors (see below), whose sum is σ = 50416317875700. Its totient is φ = 9293230581760.

The previous prime is 23233201332037. The next prime is 23233201332127. The reversal of 23233201332100 is 123310233232.

It can be written as a sum of positive squares in 6 ways, for example, as 1756112633856 + 21477088698244 = 1325184^2 + 4634338^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22238256 + ... + 23259544.

It is an arithmetic number, because the mean of its divisors is an integer number (1400453274325).

Almost surely, 223233201332100 is an apocalyptic number.

23233201332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23233201332100 is an abundant number, since it is smaller than the sum of its proper divisors (27183116543600).

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

23233201332100 is a wasteful number, since it uses less digits than its factorization.

23233201332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248792 (or 1248785 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 23233201332100 its reverse (123310233232), we get a palindrome (23356511565332).

The spelling of 23233201332100 in words is "twenty-three trillion, two hundred thirty-three billion, two hundred one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 227489 454978 909956 1021289 1137445 2042578 2274890 4085156 4549780 5106445 5687225 10212890 11374450 20425780 22748900 25532225 51064450 102128900 232332013321 464664026642 929328053284 1161660066605 2323320133210 4646640266420 5808300333025 11616600666050 23233201332100