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23011233102000 = 243253111331288383
BaseRepresentation
bin1010011101101101110000…
…10111111111100010110000
310000110212000101210111011200
411032312320113333202300
511004004001133231000
6120535114202011200
74563335544044343
oct516667027774260
9100425011714150
1023011233102000
117372011203590
1226b78934a6b00
13cabc47115450
14597a6cd8245a
1529d895861500
hex14edb85ff8b0

23011233102000 has 960 divisors, whose sum is σ = 97467553677312. Its totient is φ = 4983240960000.

The previous prime is 23011233101971. The next prime is 23011233102007. The reversal of 23011233102000 is 20133211032.

23011233102000 is a `hidden beast` number, since 2 + 30 + 1 + 123 + 310 + 200 + 0 = 666.

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 (23011233102007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79649809 + ... + 79938191.

Almost surely, 223011233102000 is an apocalyptic number.

23011233102000 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 23011233102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48733776838656).

23011233102000 is an abundant number, since it is smaller than the sum of its proper divisors (74456320575312).

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

23011233102000 is a wasteful number, since it uses less digits than its factorization.

23011233102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288467 (or 288448 counting only the distinct ones).

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

Adding to 23011233102000 its reverse (20133211032), we get a palindrome (23031366313032).

The spelling of 23011233102000 in words is "twenty-three trillion, eleven billion, two hundred thirty-three million, one hundred two thousand".