Search a number
-
+
1112210122111 = 112431451914723
BaseRepresentation
bin10000001011110100111…
…000111010010101111111
310221022210211120020102121
4100023310320322111333
5121210301242401421
62210535310503411
7143232414024124
oct20136470722577
93838724506377
101112210122111
1139975a689500
1215b678b04b67
1380b5b62c3ba
143bb8cd8074b
151dde78c9d41
hex102f4e3a57f

1112210122111 has 24 divisors (see below), whose sum is σ = 1251113592960. Its totient is φ = 987451061520.

The previous prime is 1112210122091. The next prime is 1112210122123.

1112210122111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1112210122111 - 231 = 1110062638463 is a prime.

It is a super-2 number, since 2×11122101221112 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1112210122141) 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 23 ways as a sum of consecutive naturals, for example, 75534996 + ... + 75549718.

It is an arithmetic number, because the mean of its divisors is an integer number (52129733040).

Almost surely, 21112210122111 is an apocalyptic number.

1112210122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1112210122111 is a deficient number, since it is larger than the sum of its proper divisors (138903470849).

1112210122111 is a wasteful number, since it uses less digits than its factorization.

1112210122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29307 (or 29296 counting only the distinct ones).

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

It can be divided in two parts, 1112210 and 122111, that added together give a palindrome (1234321).

The spelling of 1112210122111 in words is "one trillion, one hundred twelve billion, two hundred ten million, one hundred twenty-two thousand, one hundred eleven".

Divisors: 1 11 43 121 473 5203 14519 14723 159709 161953 624317 633089 1756799 1781483 6867487 6963979 75542357 76603769 213763237 2351395607 9191819191 25865351677 101110011101 1112210122111