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110022000231 = 311132389107351
BaseRepresentation
bin110011001110111010…
…0100111111001100111
3101111222121210201000110
41212131310213321213
53300311113001411
6122313213144103
710643306400033
oct1463564477147
9344877721013
10110022000231
1142729607220
12193a618b033
13a4b4c308b0
14547a0ad1c3
152cddee12a6
hex199dd27e67

110022000231 has 32 divisors (see below), whose sum is σ = 172415900160. Its totient is φ = 61524432000.

The previous prime is 110022000223. The next prime is 110022000287. The reversal of 110022000231 is 132000220011.

It is not a de Polignac number, because 110022000231 - 23 = 110022000223 is a prime.

It is a super-2 number, since 2×1100220002312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110022000931) 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 31 ways as a sum of consecutive naturals, for example, 971206 + ... + 1078556.

It is an arithmetic number, because the mean of its divisors is an integer number (5387996880).

Almost surely, 2110022000231 is an apocalyptic number.

110022000231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110022000231 is a deficient number, since it is larger than the sum of its proper divisors (62393899929).

110022000231 is a wasteful number, since it uses less digits than its factorization.

110022000231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109767.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 110022000231 its reverse (132000220011), we get a palindrome (242022220242).

The spelling of 110022000231 in words is "one hundred ten billion, twenty-two million, two hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 11 13 33 39 143 429 2389 7167 26279 31057 78837 93171 107351 322053 341627 1024881 1180861 1395563 3542583 4186689 15351193 46053579 256461539 769384617 2821076929 3334000007 8463230787 10002000021 36674000077 110022000231