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10132111331111 = 711162678089129
BaseRepresentation
bin1001001101110001000011…
…1001011000111100100111
31022212121202021000020020202
42103130100321120330213
52312001031000043421
633314343325221115
72064010110211040
oct223342071307447
938777667006222
1010132111331111
1132570057804a0
12117780770179b
135865b95875b3
1427057ab938c7
1512885d30b10b
hex93710e58f27

10132111331111 has 16 divisors (see below), whose sum is σ = 12633020816640. Its totient is φ = 7894665362880.

The previous prime is 10132111331077. The next prime is 10132111331129. The reversal of 10132111331111 is 11113311123101.

10132111331111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10132111331111 - 214 = 10132111314727 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132111331131) 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, 2792006 + ... + 5297123.

It is an arithmetic number, because the mean of its divisors is an integer number (789563801040).

Almost surely, 210132111331111 is an apocalyptic number.

10132111331111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10132111331111 is a deficient number, since it is larger than the sum of its proper divisors (2500909485529).

10132111331111 is a wasteful number, since it uses less digits than its factorization.

10132111331111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8105414.

The product of its (nonzero) digits is 54, while the sum is 20.

Adding to 10132111331111 its reverse (11113311123101), we get a palindrome (21245422454212).

The spelling of 10132111331111 in words is "ten trillion, one hundred thirty-two billion, one hundred eleven million, three hundred thirty-one thousand, one hundred eleven".

Divisors: 1 7 11 77 16267 113869 178937 1252559 8089129 56623903 88980419 622862933 131585861443 921101030101 1447444475873 10132111331111