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23132102102304 = 25313191397018303
BaseRepresentation
bin1010100001001110111001…
…01110101000110100100000
310000220101222222010212222120
411100213130232220310200
511012444021114233204
6121110424020104240
74605145024434336
oct520473456506440
9100811888125876
1023132102102304
1174092a6647478
1227171a6235080
13cba46a361180
1459d857895b56
152a1abbc6d6d9
hex1509dcba8d20

23132102102304 has 192 divisors, whose sum is σ = 69329614233600. Its totient is φ = 6694449472512.

The previous prime is 23132102102299. The next prime is 23132102102321. The reversal of 23132102102304 is 40320120123132.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 213184 + ... + 6805119.

It is an arithmetic number, because the mean of its divisors is an integer number (361091740800).

Almost surely, 223132102102304 is an apocalyptic number.

23132102102304 is a gapful number since it is divisible by the number (24) 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 23132102102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34664807116800).

23132102102304 is an abundant number, since it is smaller than the sum of its proper divisors (46197512131296).

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

23132102102304 is a wasteful number, since it uses less digits than its factorization.

23132102102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7018487 (or 7018479 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 23132102102304 its reverse (40320120123132), we get a palindrome (63452222225436).

The spelling of 23132102102304 in words is "twenty-three trillion, one hundred thirty-two billion, one hundred two million, one hundred two thousand, three hundred four".