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123100012314 = 232179193197959
BaseRepresentation
bin111001010100101010…
…1010001111100011010
3102202202001101112221100
41302221111101330122
54004102100343224
6132315032252230
711615350561116
oct1625125217432
9382661345840
10123100012314
114822a825274
121ba35b41076
13b7ba517b96
145d5ad44746
153307202ac9
hex1ca9551f1a

123100012314 has 48 divisors (see below), whose sum is σ = 269597764800. Its totient is φ = 40592475648.

The previous prime is 123100012313. The next prime is 123100012337. The reversal of 123100012314 is 413210001321.

123100012314 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1231000123142 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (123100012313) 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 23 ways as a sum of consecutive naturals, for example, 522867 + ... + 720825.

It is an arithmetic number, because the mean of its divisors is an integer number (5616620100).

Almost surely, 2123100012314 is an apocalyptic number.

123100012314 is an abundant number, since it is smaller than the sum of its proper divisors (146497752486).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123100012314 is a wasteful number, since it uses less digits than its factorization.

123100012314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198339 (or 198336 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 123100012314 its reverse (413210001321), we get a palindrome (536310013635).

The spelling of 123100012314 in words is "one hundred twenty-three billion, one hundred million, twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 179 193 358 386 537 579 1074 1158 1611 1737 3222 3474 34547 69094 103641 197959 207282 310923 395918 593877 621846 1187754 1781631 3563262 35434661 38206087 70869322 76412174 106303983 114618261 212607966 229236522 318911949 343854783 637823898 687709566 6838889573 13677779146 20516668719 41033337438 61550006157 123100012314