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23023132223113 = 1123398832281687
BaseRepresentation
bin1010011110000011111011…
…00111100010011010001001
310000111222201200002110201001
411033001331213202122021
511004202333322114423
6120544403025255001
74564236451645501
oct517017547423211
9100458650073631
1023023132223113
117377067a23380
1226ba054494461
13cb00c23b9409
1459847b420a01
1529dd40306cad
hex14f07d9e2689

23023132223113 has 16 divisors (see below), whose sum is σ = 26208819127296. Its totient is φ = 20019604231440.

The previous prime is 23023132223111. The next prime is 23023132223141. The reversal of 23023132223113 is 31132223132032.

It is a happy number.

It is not a de Polignac number, because 23023132223113 - 21 = 23023132223111 is a prime.

It is a super-2 number, since 2×230231322231132 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23023132223111) 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, 8949556 + ... + 11231242.

It is an arithmetic number, because the mean of its divisors is an integer number (1638051195456).

Almost surely, 223023132223113 is an apocalyptic number.

23023132223113 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

23023132223113 is a deficient number, since it is larger than the sum of its proper divisors (3185686904183).

23023132223113 is a wasteful number, since it uses less digits than its factorization.

23023132223113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321604.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 23023132223113 its reverse (31132223132032), we get a palindrome (54155355355145).

The spelling of 23023132223113 in words is "twenty-three trillion, twenty-three billion, one hundred thirty-two million, two hundred twenty-three thousand, one hundred thirteen".

Divisors: 1 11 23 253 39883 438713 917309 2281687 10090399 25098557 52478801 577266811 91000522621 1001005748831 2093012020283 23023132223113