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123412132401 = 32310128796151
BaseRepresentation
bin111001011101111101…
…1111011001000110001
3102210112210200220012120
41302323323323020301
54010222001214101
6132410022144453
711626160550165
oct1627373731061
9383483626176
10123412132401
114837aa27758
121bb02582129
13b83a09a51c
145d8a590ca5
153324807b36
hex1cbbefb231

123412132401 has 32 divisors (see below), whose sum is σ = 173492305920. Its totient is φ = 77878680000.

The previous prime is 123412132387. The next prime is 123412132411. The reversal of 123412132401 is 104231214321.

It is not a de Polignac number, because 123412132401 - 29 = 123412131889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123412132411) 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, 20060676 + ... + 20066826.

It is an arithmetic number, because the mean of its divisors is an integer number (5421634560).

Almost surely, 2123412132401 is an apocalyptic number.

It is an amenable number.

123412132401 is a deficient number, since it is larger than the sum of its proper divisors (50080173519).

123412132401 is a wasteful number, since it uses less digits than its factorization.

123412132401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9157.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 123412132401 its reverse (104231214321), we get a palindrome (227643346722).

The spelling of 123412132401 in words is "one hundred twenty-three billion, four hundred twelve million, one hundred thirty-two thousand, four hundred one".

Divisors: 1 3 23 69 101 303 2323 2879 6151 6969 8637 18453 66217 141473 198651 290779 424419 621251 872337 1863753 6687917 14288773 17708729 20063751 42866319 53126187 407300767 1221902301 1788581629 5365744887 41137377467 123412132401