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13113361032 = 23310713073907
BaseRepresentation
bin11000011011001111…
…00000001010001000
31020211220002202120020
430031213200022020
5203324010023112
610005120500440
7642650505162
oct141547401210
936756082506
1013113361032
11561a172262
12265b77a720
13130ca12b35
148c5837932
1551b39548c
hex30d9e0288

13113361032 has 64 divisors (see below), whose sum is σ = 33123582720. Its totient is φ = 4325848128.

The previous prime is 13113360979. The next prime is 13113361039. The reversal of 13113361032 is 23016331131.

It is a super-2 number, since 2×131133610322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13113360993 and 13113361011.

It is not an unprimeable number, because it can be changed into a prime (13113361039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3354423 + ... + 3358329.

It is an arithmetic number, because the mean of its divisors is an integer number (517555980).

Almost surely, 213113361032 is an apocalyptic number.

13113361032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13113361032 is an abundant number, since it is smaller than the sum of its proper divisors (20010221688).

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

13113361032 is a wasteful number, since it uses less digits than its factorization.

13113361032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13113361032 its reverse (23016331131), we get a palindrome (36129692163).

The spelling of 13113361032 in words is "thirteen billion, one hundred thirteen million, three hundred sixty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 1307 2568 2614 3907 3921 5228 7814 7842 10456 11721 15628 15684 23442 31256 31368 46884 93768 139849 279698 418049 419547 559396 836098 839094 1118792 1254147 1672196 1678188 2508294 3344392 3356376 5016588 5106449 10033176 10212898 15319347 20425796 30638694 40851592 61277388 122554776 546390043 1092780086 1639170129 2185560172 3278340258 4371120344 6556680516 13113361032