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23015131341000 = 23353672234631109
BaseRepresentation
bin1010011101110101000001…
…01110100110000011001000
310000111020002002000112202220
411032322200232212003020
511004034442110403000
6120541001054454040
74563534260402541
oct516724056460310
9100436062015686
1023015131341000
117373731703207
1226b85a0b04320
13cac418927946
14597d1c9a74c8
1529da22bd51a0
hex14eea0ba60c8

23015131341000 has 512 divisors, whose sum is σ = 73430035660800. Its totient is φ = 6000240153600.

The previous prime is 23015131340987. The next prime is 23015131341031. The reversal of 23015131341000 is 14313151032.

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 127 ways as a sum of consecutive naturals, for example, 20753048446 + ... + 20753049554.

It is an arithmetic number, because the mean of its divisors is an integer number (143418038400).

Almost surely, 223015131341000 is an apocalyptic number.

23015131341000 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 23015131341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36715017830400).

23015131341000 is an abundant number, since it is smaller than the sum of its proper divisors (50414904319800).

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

23015131341000 is a wasteful number, since it uses less digits than its factorization.

23015131341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 23015131341000 its reverse (14313151032), we get a palindrome (23029444492032).

The spelling of 23015131341000 in words is "twenty-three trillion, fifteen billion, one hundred thirty-one million, three hundred forty-one thousand".