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10220011113 = 3131971330211
BaseRepresentation
bin10011000010010100…
…01111111001101001
3222101020202100122010
421201022033321221
5131412310323423
64410042150133
7511155442524
oct114112177151
928336670563
1010220011113
114374a25684
121b927b2349
13c6b45cc70
146cd473bbb
153ec36b693
hex26128fe69

10220011113 has 16 divisors (see below), whose sum is σ = 14749390656. Its totient is φ = 6257307840.

The previous prime is 10220011051. The next prime is 10220011117. The reversal of 10220011113 is 31111002201.

10220011113 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 10220011113 - 213 = 10220002921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10220011117) 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 15 ways as a sum of consecutive naturals, for example, 657423 + ... + 672788.

It is an arithmetic number, because the mean of its divisors is an integer number (921836916).

Almost surely, 210220011113 is an apocalyptic number.

10220011113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10220011113 is a deficient number, since it is larger than the sum of its proper divisors (4529379543).

10220011113 is a wasteful number, since it uses less digits than its factorization.

10220011113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330424.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10220011113 its reverse (31111002201), we get a palindrome (41331013314).

The spelling of 10220011113 in words is "ten billion, two hundred twenty million, eleven thousand, one hundred thirteen".

Divisors: 1 3 13 39 197 591 2561 7683 1330211 3990633 17292743 51878229 262051567 786154701 3406670371 10220011113