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23251450120 = 23517187718217
BaseRepresentation
bin10101101001111001…
…001111100100001000
32020000102201001022021
4111221321033210020
5340104332400440
614403115134224
71452123031213
oct255171174410
966012631267
1023251450120
119951923688
12460aa44374
1322671bb912
1411a806477a
1591142d84a
hex569e4f908

23251450120 has 64 divisors (see below), whose sum is σ = 55425714480. Its totient is φ = 8748343296.

The previous prime is 23251450109. The next prime is 23251450129. The reversal of 23251450120 is 2105415232.

It can be written as a sum of positive squares in 8 ways, for example, as 11544642916 + 11706807204 = 107446^2 + 108198^2 .

It is not an unprimeable number, because it can be changed into a prime (23251450129) 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, 1267252 + ... + 1285468.

Almost surely, 223251450120 is an apocalyptic number.

23251450120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23251450120 is an abundant number, since it is smaller than the sum of its proper divisors (32174264360).

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

23251450120 is a wasteful number, since it uses less digits than its factorization.

23251450120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20122 (or 20118 counting only the distinct ones).

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

Adding to 23251450120 its reverse (2105415232), we get a palindrome (25356865352).

The spelling of 23251450120 in words is "twenty-three billion, two hundred fifty-one million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1877 3754 7508 9385 15016 18217 18770 31909 36434 37540 63818 72868 75080 91085 127636 145736 159545 182170 255272 309689 319090 364340 619378 638180 728680 1238756 1276360 1548445 2477512 3096890 6193780 12387560 34193309 68386618 136773236 170966545 273546472 341933090 581286253 683866180 1162572506 1367732360 2325145012 2906431265 4650290024 5812862530 11625725060 23251450120