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10220012111 = 1710928319489
BaseRepresentation
bin10011000010010100…
…10000001001001111
3222101020202102000002
421201022100021033
5131412310341421
64410042154515
7511155445451
oct114112201117
928336672002
1010220012111
114374a26401
121b927b2a3b
13c6b46055a
146cd4742d1
153ec36bb0b
hex26129024f

10220012111 has 16 divisors (see below), whose sum is σ = 10959616800. Its totient is φ = 9496424448.

The previous prime is 10220012093. The next prime is 10220012137. The reversal of 10220012111 is 11121002201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10220012111 is a prime.

It is a super-3 number, since 3×102200121113 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220012092 and 10220012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220012161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 514655 + ... + 534143.

It is an arithmetic number, because the mean of its divisors is an integer number (684976050).

Almost surely, 210220012111 is an apocalyptic number.

10220012111 is a deficient number, since it is larger than the sum of its proper divisors (739604689).

10220012111 is a wasteful number, since it uses less digits than its factorization.

10220012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19898.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10220012111 its reverse (11121002201), we get a palindrome (21341014312).

The spelling of 10220012111 in words is "ten billion, two hundred twenty million, twelve thousand, one hundred eleven".

Divisors: 1 17 109 283 1853 4811 19489 30847 331313 524399 2124301 5515387 36113117 93761579 601177183 10220012111