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23145152540120 = 23513291978579091
BaseRepresentation
bin1010100001100111001101…
…00110000110110111011000
310000221122200110211211010022
411100303212212012313120
511013202233022240440
6121120423012210012
74606116312352112
oct520634646066730
9100848613754108
1023145152540120
117413893241576
122719828909908
13cbb76a012620
145a0334bd03b2
152a20d2834cb5
hex150ce6986dd8

23145152540120 has 256 divisors, whose sum is σ = 58385325398400. Its totient is φ = 8198850723840.

The previous prime is 23145152540117. The next prime is 23145152540177. The reversal of 23145152540120 is 2104525154132.

It is a super-2 number, since 2×231451525401202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2545936775 + ... + 2545945865.

Almost surely, 223145152540120 is an apocalyptic number.

23145152540120 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 23145152540120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29192662699200).

23145152540120 is an abundant number, since it is smaller than the sum of its proper divisors (35240172858280).

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

23145152540120 is a wasteful number, since it uses less digits than its factorization.

23145152540120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10198 (or 10194 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

Adding to 23145152540120 its reverse (2104525154132), we get a palindrome (25249677694252).

The spelling of 23145152540120 in words is "twenty-three trillion, one hundred forty-five billion, one hundred fifty-two million, five hundred forty thousand, one hundred twenty".