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20122102 = 27111319232
BaseRepresentation
bin100110011000…
…0100111110110
31101212022100001
41030300213312
520122401402
61555141514
7333015010
oct114604766
941768301
1020122102
11103a4040
1268a489a
134226b90
14295b1b0
151b77187
hex13309f6

20122102 has 96 divisors (see below), whose sum is σ = 44593920. Its totient is φ = 6557760.

The previous prime is 20122093. The next prime is 20122133.

20122102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 874863 + ... + 874885.

It is an arithmetic number, because the mean of its divisors is an integer number (464520).

Almost surely, 220122102 is an apocalyptic number.

20122102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20122102 is an abundant number, since it is smaller than the sum of its proper divisors (24471818).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20122102 is a wasteful number, since it uses less digits than its factorization.

20122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 20122102 is about 4485.7666011508. The cubic root of 20122102 is about 271.9930343516.

It can be divided in two parts, 2012 and 2102, that multiplied together give a palindrome (4229224).

The spelling of 20122102 in words is "twenty million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 7 11 13 14 19 22 23 26 38 46 77 91 133 143 154 161 182 209 247 253 266 286 299 322 418 437 494 506 529 598 874 1001 1058 1463 1729 1771 2002 2093 2717 2926 3059 3289 3458 3542 3703 4186 4807 5434 5681 5819 6118 6578 6877 7406 9614 10051 11362 11638 13754 19019 20102 23023 33649 38038 39767 40733 46046 48139 62491 67298 70357 75647 79534 81466 96278 110561 124982 130663 140714 151294 221122 261326 437437 529529 773927 874874 914641 1059058 1437293 1547854 1829282 2874586 10061051 20122102