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10023311331 = 331133748523
BaseRepresentation
bin10010101010110111…
…11001011111100011
3221212112121222021000
421111123321133203
5131011431430311
64334334203043
7503246512005
oct112533713743
927775558230
1010023311331
114283997180
121b38953483
13c3978cb67
146b12b0375
153d9e65056
hex2556f97e3

10023311331 has 16 divisors (see below), whose sum is σ = 16199291520. Its totient is φ = 6074733960.

The previous prime is 10023311323. The next prime is 10023311339. The reversal of 10023311331 is 13311332001.

It is a happy number.

10023311331 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 331 + 1 + 331 = 666.

It is an interprime number because it is at equal distance from previous prime (10023311323) and next prime (10023311339).

It is not a de Polignac number, because 10023311331 - 23 = 10023311323 is a prime.

It is a super-2 number, since 2×100233113312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10023311339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16873965 + ... + 16874558.

It is an arithmetic number, because the mean of its divisors is an integer number (1012455720).

Almost surely, 210023311331 is an apocalyptic number.

10023311331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10023311331 is a deficient number, since it is larger than the sum of its proper divisors (6175980189).

10023311331 is a wasteful number, since it uses less digits than its factorization.

10023311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33748543 (or 33748537 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10023311331 its reverse (13311332001), we get a palindrome (23334643332).

The spelling of 10023311331 in words is "ten billion, twenty-three million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 33748523 101245569 303736707 371233753 911210121 1113701259 3341103777 10023311331