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1020212211111 = 323371133899091
BaseRepresentation
bin11101101100010010110…
…00101110110110100111
310121112100100021010122120
432312021120232312213
5113203343311223421
62100402400201023
7133464544466142
oct16661130566647
93545310233576
101020212211111
113637402182a5
12145883009173
1375289914882
14375429ad059
151b810e4e8c6
hexed8962eda7

1020212211111 has 64 divisors (see below), whose sum is σ = 1474632207360. Its totient is φ = 625703823360.

The previous prime is 1020212211107. The next prime is 1020212211133. The reversal of 1020212211111 is 1111122120201.

It is a happy number.

It is not a de Polignac number, because 1020212211111 - 22 = 1020212211107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212211191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112217676 + ... + 112226766.

It is an arithmetic number, because the mean of its divisors is an integer number (23041128240).

Almost surely, 21020212211111 is an apocalyptic number.

1020212211111 is a deficient number, since it is larger than the sum of its proper divisors (454419996249).

1020212211111 is a wasteful number, since it uses less digits than its factorization.

1020212211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9656.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1020212211111 its reverse (1111122120201), we get a palindrome (2131334331312).

It can be divided in two parts, 102021 and 2211111, that added together give a palindrome (2313132).

The spelling of 1020212211111 in words is "one trillion, twenty billion, two hundred twelve million, two hundred eleven thousand, one hundred eleven".

Divisors: 1 3 23 37 69 111 113 339 389 851 1167 2553 2599 4181 7797 8947 9091 12543 14393 26841 27273 43179 43957 96163 131871 209093 288489 331039 336367 627279 993117 1009101 1011011 1027283 1626409 3033033 3081849 3536399 4879227 7736441 10609197 23209323 23627509 37407407 38009471 70882527 81337177 112222221 114028413 130846763 244011531 392540289 399613087 874217833 1198839261 2622653499 3009475549 9028426647 9191101001 14785684219 27573303003 44357052657 340070737037 1020212211111