Search a number
-
+
101112220011 = 31137431925837
BaseRepresentation
bin101111000101011000…
…0100000100101101011
3100122222200110222021110
41132022300200211223
53124034212020021
6114241133441403
710206440455305
oct1361260404553
9318880428243
10101112220011
11399772374a0
121771a340263
1396c507b5aa
144c72a60975
15296bbd6476
hex178ac2096b

101112220011 has 32 divisors (see below), whose sum is σ = 154560054528. Its totient is φ = 58237280640.

The previous prime is 101112220007. The next prime is 101112220081. The reversal of 101112220011 is 110022211101.

It is not a de Polignac number, because 101112220011 - 22 = 101112220007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101112220081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910416 + ... + 1015421.

It is an arithmetic number, because the mean of its divisors is an integer number (4830001704).

Almost surely, 2101112220011 is an apocalyptic number.

101112220011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101112220011 is a deficient number, since it is larger than the sum of its proper divisors (53447834517).

101112220011 is a wasteful number, since it uses less digits than its factorization.

101112220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925931.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112220011 its reverse (110022211101), we get a palindrome (211134431112).

It can be divided in two parts, 101112 and 220011, that added together give a palindrome (321123).

The spelling of 101112220011 in words is "one hundred one billion, one hundred twelve million, two hundred twenty thousand, eleven".

Divisors: 1 3 11 33 37 43 111 129 407 473 1221 1419 1591 4773 17501 52503 1925837 5777511 21184207 63552621 71255969 82810991 213767907 248432973 783815659 910920901 2351446977 2732762703 3064006667 9192020001 33704073337 101112220011