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23142550120 = 2354322759273
BaseRepresentation
bin10101100011011001…
…110100101001101000
32012201211210100120221
4111203121310221220
5334343443100440
614344225055424
71446331300414
oct254331645150
965654710527
1023142550120
1198a6403488
12459a487574
13224a780151
1411977d7d44
15906abbd4a
hex563674a68

23142550120 has 64 divisors (see below), whose sum is σ = 53517309120. Its totient is φ = 9001757184.

The previous prime is 23142550103. The next prime is 23142550121. The reversal of 23142550120 is 2105524132.

It is not an unprimeable number, because it can be changed into a prime (23142550121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360804 + ... + 420076.

It is an arithmetic number, because the mean of its divisors is an integer number (836207955).

Almost surely, 223142550120 is an apocalyptic number.

23142550120 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 23142550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26758654560).

23142550120 is an abundant number, since it is smaller than the sum of its proper divisors (30374759000).

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

23142550120 is a wasteful number, since it uses less digits than its factorization.

23142550120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59554 (or 59550 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 23142550120 in words is "twenty-three billion, one hundred forty-two million, five hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 227 344 430 454 860 908 1135 1720 1816 2270 4540 9080 9761 19522 39044 48805 59273 78088 97610 118546 195220 237092 296365 390440 474184 592730 1185460 2370920 2548739 5097478 10194956 12743695 13454971 20389912 25487390 26909942 50974780 53819884 67274855 101949560 107639768 134549710 269099420 538198840 578563753 1157127506 2314255012 2892818765 4628510024 5785637530 11571275060 23142550120