Search a number
-
+
1100112122021 = 11237960191583
BaseRepresentation
bin10000000000100011110…
…010101101000010100101
310220011120201001011020012
4100000203302231002211
5121011012200401041
62201215020420005
7142323542514623
oct20004362550245
93804521034205
101100112122021
11394611681a20
121592613a7605
137c9810a4473
143b362332513
151d93a74c3eb
hex10023cad0a5

1100112122021 has 32 divisors (see below), whose sum is σ = 1270277406720. Its totient is φ = 942928272000.

The previous prime is 1100112121963. The next prime is 1100112122033. The reversal of 1100112122021 is 1202212110011.

It is not a de Polignac number, because 1100112122021 - 210 = 1100112120997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100112121987 and 1100112122005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100112122521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11966396 + ... + 12057978.

It is an arithmetic number, because the mean of its divisors is an integer number (39696168960).

Almost surely, 21100112122021 is an apocalyptic number.

1100112122021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100112122021 is a deficient number, since it is larger than the sum of its proper divisors (170165284699).

1100112122021 is a wasteful number, since it uses less digits than its factorization.

1100112122021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92297.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1100112122021 its reverse (1202212110011), we get a palindrome (2302324232032).

The spelling of 1100112122021 in words is "one trillion, one hundred billion, one hundred twelve million, one hundred twenty-two thousand, twenty-one".

Divisors: 1 11 23 79 253 601 869 1817 6611 13823 19987 47479 91583 152053 522269 1007413 1092017 2106409 7235057 12012187 23170499 55041383 79585627 166406311 605455213 1265951809 1830469421 4348269257 13925469899 47830961827 100010192911 1100112122021