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123334343430401 = 1942473152833123
BaseRepresentation
bin11100000010110000000011…
…101110101001000100000001
3121011200122111110012100220102
4130002300003232221010001
5112131202213404233101
61114151003140252145
734656420001542065
oct3402600356510401
9534618443170812
10123334343430401
113633088a601814
12119bb0320a1055
1353a84bcc67b0c
1422655b2303aa5
15e3d32164486b
hex702c03ba9101

123334343430401 has 8 divisors (see below), whose sum is σ = 129828682175520. Its totient is φ = 116840310436512.

The previous prime is 123334343430391. The next prime is 123334343430443. The reversal of 123334343430401 is 104034343433321.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123334343430401 is a prime.

It is a super-2 number, since 2×1233343434304012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123334343432401) 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, 75609575 + ... + 77223548.

It is an arithmetic number, because the mean of its divisors is an integer number (16228585271940).

Almost surely, 2123334343430401 is an apocalyptic number.

It is an amenable number.

123334343430401 is a deficient number, since it is larger than the sum of its proper divisors (6494338745119).

123334343430401 is a wasteful number, since it uses less digits than its factorization.

123334343430401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152875615.

The product of its (nonzero) digits is 373248, while the sum is 38.

Adding to 123334343430401 its reverse (104034343433321), we get a palindrome (227368686863722).

The spelling of 123334343430401 in words is "one hundred twenty-three trillion, three hundred thirty-four billion, three hundred forty-three million, four hundred thirty thousand, four hundred one".

Divisors: 1 19 42473 806987 152833123 2903829337 6491281233179 123334343430401