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123121212013 = 1937578271019
BaseRepresentation
bin111001010101010011…
…0001001101001101101
3102202210112021121110101
41302222212021221231
54004123012241023
6132321110511101
711616026014612
oct1625246115155
9382715247411
10123121212013
1148240794988
121ba41065491
13b7c1a2b397
145d5daa2509
153308ede1ad
hex1caa989a6d

123121212013 has 16 divisors (see below), whose sum is σ = 124194237120. Its totient is φ = 122053671936.

The previous prime is 123121211981. The next prime is 123121212103. The reversal of 123121212013 is 310212121321.

It is a cyclic number.

It is not a de Polignac number, because 123121212013 - 25 = 123121211981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123121215013) 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 15 ways as a sum of consecutive naturals, for example, 120825018 + ... + 120826036.

It is an arithmetic number, because the mean of its divisors is an integer number (7762139820).

Almost surely, 2123121212013 is an apocalyptic number.

It is an amenable number.

123121212013 is a deficient number, since it is larger than the sum of its proper divisors (1073025107).

123121212013 is a wasteful number, since it uses less digits than its factorization.

123121212013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 123121212013 its reverse (310212121321), we get a palindrome (433333333334).

It can be divided in two parts, 1231212 and 12013, that added together give a square (1243225 = 11152).

The spelling of 123121212013 in words is "one hundred twenty-three billion, one hundred twenty-one million, two hundred twelve thousand, thirteen".

Divisors: 1 193 757 827 1019 146101 159611 196667 626039 771383 842713 120825527 148876919 162643609 637933741 123121212013