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103132211013 = 361316366763
BaseRepresentation
bin110000000001100101…
…0001010011101000101
3100212012110110011000000
41200003022022131011
53142203321223023
6115213413111513
710310466221016
oct1400312123505
9325173404000
10103132211013
113a813498647
1217ba2928599
139957704c40
144dc504100d
152a391e7243
hex180328a745

103132211013 has 56 divisors (see below), whose sum is σ = 167546127392. Its totient is φ = 63075669408.

The previous prime is 103132211009. The next prime is 103132211047. The reversal of 103132211013 is 310112231301.

It is not a de Polignac number, because 103132211013 - 22 = 103132211009 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 (103132211003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1511370 + ... + 1578132.

It is an arithmetic number, because the mean of its divisors is an integer number (2991895132).

Almost surely, 2103132211013 is an apocalyptic number.

103132211013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103132211013 is a deficient number, since it is larger than the sum of its proper divisors (64413916379).

103132211013 is an equidigital number, since it uses as much as digits as its factorization.

103132211013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66957 (or 66942 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103132211013 its reverse (310112231301), we get a palindrome (413244442314).

The spelling of 103132211013 in words is "one hundred three billion, one hundred thirty-two million, two hundred eleven thousand, thirteen".

Divisors: 1 3 9 13 27 39 81 117 163 243 351 489 729 1053 1467 2119 3159 4401 6357 9477 13203 19071 39609 57213 66763 118827 171639 200289 514917 600867 867919 1544751 1802601 2603757 5407803 7811271 10882369 16223409 23433813 32647107 48670227 70301439 97941321 141470797 210904317 293823963 424412391 632712951 881471889 1273237173 2644415667 3819711519 7933247001 11459134557 34377403671 103132211013