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123303102101 = 1737196030369
BaseRepresentation
bin111001011010101110…
…0000000011010010101
3102210021012112120202022
41302311130000122111
54010011043231401
6132351125222525
711623365034454
oct1626534003225
9383235476668
10123303102101
1148324428673
121ba91b61a45
13b82061465a
145d79cccb9b
153319e6c71b
hex1cb5700695

123303102101 has 8 divisors (see below), whose sum is σ = 134084773080. Its totient is φ = 112913491968.

The previous prime is 123303102061. The next prime is 123303102137. The reversal of 123303102101 is 101201303321.

It can be written as a sum of positive squares in 4 ways, for example, as 53949352900 + 69353749201 = 232270^2 + 263351^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123303102101 - 230 = 122229360277 is a prime.

It is a super-2 number, since 2×1233031021012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123303102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123303104101) 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 7 ways as a sum of consecutive naturals, for example, 98014556 + ... + 98015813.

It is an arithmetic number, because the mean of its divisors is an integer number (16760596635).

Almost surely, 2123303102101 is an apocalyptic number.

It is an amenable number.

123303102101 is a deficient number, since it is larger than the sum of its proper divisors (10781670979).

123303102101 is a wasteful number, since it uses less digits than its factorization.

123303102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196030423.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 123303102101 its reverse (101201303321), we get a palindrome (224504405422).

The spelling of 123303102101 in words is "one hundred twenty-three billion, three hundred three million, one hundred two thousand, one hundred one".

Divisors: 1 17 37 629 196030369 3332516273 7253123653 123303102101