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11220131013 = 3713139457647
BaseRepresentation
bin10100111001100010…
…11001110011000101
31001221221122201012220
422130301121303011
5140434323143023
65053210202553
7545021353140
oct123461316305
931857581186
1011220131013
114838520553
122211723459
13109a70c8a0
14786213057
1545a0733e3
hex29cc59cc5

11220131013 has 64 divisors (see below), whose sum is σ = 18614292480. Its totient is φ = 5853814272.

The previous prime is 11220131003. The next prime is 11220131051. The reversal of 11220131013 is 31013102211.

It is a happy number.

11220131013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11220131013 - 25 = 11220130981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11220130983 and 11220131001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220131003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17341456 + ... + 17342102.

It is an arithmetic number, because the mean of its divisors is an integer number (290848320).

Almost surely, 211220131013 is an apocalyptic number.

11220131013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11220131013 is a deficient number, since it is larger than the sum of its proper divisors (7394161467).

11220131013 is a wasteful number, since it uses less digits than its factorization.

11220131013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266.

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

Adding to 11220131013 its reverse (31013102211), we get a palindrome (42233233224).

The spelling of 11220131013 in words is "eleven billion, two hundred twenty million, one hundred thirty-one thousand, thirteen".

Divisors: 1 3 7 13 21 39 91 139 273 417 457 647 973 1371 1807 1941 2919 3199 4529 5421 5941 8411 9597 12649 13587 17823 25233 37947 41587 58877 63523 89933 124761 176631 190569 269799 295679 444661 629531 825799 887037 1169129 1333983 1888593 2069753 2477397 3507387 3843827 5780593 6209259 8183903 11531481 17341779 24551709 26906789 41099381 80720367 123298143 287695667 534291953 863087001 1602875859 3740043671 11220131013