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11310221013 = 37213371031553
BaseRepresentation
bin10101000100010010…
…00100011011010101
31002012020011202110120
422202021010123111
5141130404033023
65110145142153
7550164202200
oct124211043325
932166152416
1011310221013
1148843634a3
12223792a959
1310b3293790
14794184937
15462e1b8e3
hex2a22446d5

11310221013 has 96 divisors (see below), whose sum is σ = 19603374336. Its totient is φ = 5744535552.

The previous prime is 11310221011. The next prime is 11310221063. The reversal of 11310221013 is 31012201311.

It is a happy number.

It is not a de Polignac number, because 11310221013 - 21 = 11310221011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11310220983 and 11310221001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310221011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7282045 + ... + 7283597.

It is an arithmetic number, because the mean of its divisors is an integer number (204201816).

Almost surely, 211310221013 is an apocalyptic number.

11310221013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11310221013 is a deficient number, since it is larger than the sum of its proper divisors (8293153323).

11310221013 is a wasteful number, since it uses less digits than its factorization.

11310221013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11310221013 its reverse (31012201311), we get a palindrome (42322422324).

The spelling of 11310221013 in words is "eleven billion, three hundred ten million, two hundred twenty-one thousand, thirteen".

Divisors: 1 3 7 13 21 37 39 49 91 103 111 147 259 273 309 481 637 721 777 1339 1443 1553 1813 1911 2163 3367 3811 4017 4659 5047 5439 9373 10101 10871 11433 15141 20189 23569 26677 28119 32613 49543 57461 60567 65611 70707 76097 80031 141323 148629 159959 172383 186739 196833 228291 346801 402227 423969 479877 560217 746993 989261 1040403 1119713 1206681 2079467 2240979 2427607 2815589 2967783 3359139 5228951 5918483 6238401 7282821 7837991 8446767 14556269 15686853 17755449 23513973 36602657 41429381 43668807 76940279 101893883 109807971 124288143 230820837 290005667 305681649 538581953 870017001 1615745859 3770073671 11310221013