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106226000511 = 3421786710691
BaseRepresentation
bin110001011101110010…
…0000010001001111111
3101011012001221221100020
41202323210002021333
53220022324004021
6120444411503223
710450244051331
oct1427344021177
9334161857306
10106226000511
1141060898474
1218706a57b13
13a02b667207
1451d9c9d451
152b6ab157c6
hex18bb90227f

106226000511 has 16 divisors (see below), whose sum is σ = 142002419328. Its totient is φ = 70633533600.

The previous prime is 106226000483. The next prime is 106226000513. The reversal of 106226000511 is 115000622601.

It is not a de Polignac number, because 106226000511 - 27 = 106226000383 is a prime.

It is a super-2 number, since 2×1062260005112 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106226000513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9930676 + ... + 9941366.

It is an arithmetic number, because the mean of its divisors is an integer number (8875151208).

Almost surely, 2106226000511 is an apocalyptic number.

106226000511 is a deficient number, since it is larger than the sum of its proper divisors (35776418817).

106226000511 is a wasteful number, since it uses less digits than its factorization.

106226000511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18982.

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 106226000511 in words is "one hundred six billion, two hundred twenty-six million, five hundred eleven", and thus it is an aban number.

Divisors: 1 3 421 1263 7867 10691 23601 32073 3312007 4500911 9936021 13502733 84106097 252318291 35408666837 106226000511