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23033300223013 = 3714917401240101
BaseRepresentation
bin1010011110010110110111…
…01011011000010000100101
310000112221222021222101100221
411033023123223120100211
511004334144324114023
6120553204013004341
74565046436346203
oct517133353302045
9100487867871327
1023033300223013
117380405554183
1227000117836b1
13cb1052b386c2
14598b639d6073
1529e237cec85d
hex14f2dbad8425

23033300223013 has 16 divisors (see below), whose sum is σ = 23816053522800. Its totient is φ = 22258998720000.

The previous prime is 23033300223007. The next prime is 23033300223047. The reversal of 23033300223013 is 31032200333032.

It can be written as a sum of positive squares in 8 ways, for example, as 4263593133409 + 18769707089604 = 2064847^2 + 4332402^2 .

It is not a de Polignac number, because 23033300223013 - 221 = 23033298125861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23033300223083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95811663 + ... + 96051763.

It is an arithmetic number, because the mean of its divisors is an integer number (1488503345175).

Almost surely, 223033300223013 is an apocalyptic number.

It is an amenable number.

23033300223013 is a deficient number, since it is larger than the sum of its proper divisors (782753299787).

23033300223013 is a wasteful number, since it uses less digits than its factorization.

23033300223013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257688.

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 23033300223013 its reverse (31032200333032), we get a palindrome (54065500556045).

The spelling of 23033300223013 in words is "twenty-three trillion, thirty-three billion, three hundred million, two hundred twenty-three thousand, thirteen".

Divisors: 1 37 149 5513 17401 240101 643837 2592749 8883737 35775049 95931713 1323676813 4177997501 154585907537 622521627649 23033300223013