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23024030114133 = 3323311195991383
BaseRepresentation
bin1010011110000101100110…
…01000101110000101010101
310000112002001020122001122000
411033002303020232011111
511004211203202123013
6120545032102225513
74564300633621536
oct517026310560525
9100462036561560
1023024030114133
117377488845174
1226ba265125299
13cb0206424b89
1459852478c68d
1529dd94068973
hex14f0b322e155

23024030114133 has 32 divisors (see below), whose sum is σ = 36740855316480. Its totient is φ = 14208377618160.

The previous prime is 23024030114101. The next prime is 23024030114167. The reversal of 23024030114133 is 33141103042032.

It is a happy number.

23024030114133 is a `hidden beast` number, since 2 + 3 + 0 + 240 + 3 + 0 + 1 + 1 + 413 + 3 = 666.

It is not a de Polignac number, because 23024030114133 - 25 = 23024030114101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23024030114097 and 23024030114106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23024030114233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 597976441 + ... + 598014942.

It is an arithmetic number, because the mean of its divisors is an integer number (1148151728640).

Almost surely, 223024030114133 is an apocalyptic number.

23024030114133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23024030114133 is a deficient number, since it is larger than the sum of its proper divisors (13716825202347).

23024030114133 is a wasteful number, since it uses less digits than its factorization.

23024030114133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195991446 (or 1195991440 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23024030114133 its reverse (33141103042032), we get a palindrome (56165133156165).

The spelling of 23024030114133 in words is "twenty-three trillion, twenty-four billion, thirty million, one hundred fourteen thousand, one hundred thirty-three".

Divisors: 1 3 9 23 27 31 69 93 207 279 621 713 837 2139 6417 19251 1195991383 3587974149 10763922447 27507801809 32291767341 37075732873 82523405427 111227198619 247570216281 333681595857 742710648843 852741856079 1001044787571 2558225568237 7674676704711 23024030114133