Search a number
-
+
110312010131029 = 72337177710420961
BaseRepresentation
bin11001000101010000000100…
…001011011010011001010101
3112110120201120122122200100221
4121011100010023122121111
5103424322444043143104
61030340345435434341
732143531306052410
oct3105200413323125
9473521518580327
10110312010131029
1132170073988713
1210457258bb59b1
1349724bb3a0c75
141d351b617ab77
15cb4706493c54
hex6454042da655

110312010131029 has 32 divisors (see below), whose sum is σ = 135183720301056. Its totient is φ = 87948233809920.

The previous prime is 110312010131003. The next prime is 110312010131051. The reversal of 110312010131029 is 920131010213011.

It is not a de Polignac number, because 110312010131029 - 241 = 108112986875477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110312010130994 and 110312010131012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110312010131629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5375109 + ... + 15796069.

It is an arithmetic number, because the mean of its divisors is an integer number (4224491259408).

Almost surely, 2110312010131029 is an apocalyptic number.

It is an amenable number.

110312010131029 is a deficient number, since it is larger than the sum of its proper divisors (24871710170027).

110312010131029 is a wasteful number, since it uses less digits than its factorization.

110312010131029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10422805.

The product of its (nonzero) digits is 324, while the sum is 25.

The spelling of 110312010131029 in words is "one hundred ten trillion, three hundred twelve billion, ten million, one hundred thirty-one thousand, twenty-nine".

Divisors: 1 7 23 37 161 259 851 1777 5957 12439 40871 65749 286097 460243 1512227 10420961 10585589 72946727 239682103 385575557 1677774721 2699028899 8868237811 18518047697 62077664677 129626333879 425915097031 685167764789 2981405679217 4796174353523 15758858590147 110312010131029