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123361134411060 = 2232571344893167759
BaseRepresentation
bin11100000011001001000000…
…100110000111110100110100
3121011210012122120011012022100
4130003021000212013310310
5112132122100402123220
61114211153420102100
734661355624244320
oct3403110046076464
9534705576135270
10123361134411060
11363411883a2047
1211a0426a394930
1353aab9c553cb0
1422669d4496980
15e3dd8d68cd90
hex703240987d34

123361134411060 has 288 divisors, whose sum is σ = 460561239290880. Its totient is φ = 26027108822016.

The previous prime is 123361134411017. The next prime is 123361134411061. The reversal of 123361134411060 is 60114431163321.

123361134411060 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 611 + 34 + 4 + 1 + 1 + 0 + 6 + 0 = 666.

It is a super-2 number, since 2×1233611344110602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123361134411061) 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 95 ways as a sum of consecutive naturals, for example, 735263461 + ... + 735431219.

It is an arithmetic number, because the mean of its divisors is an integer number (1599170969760).

Almost surely, 2123361134411060 is an apocalyptic number.

123361134411060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123361134411060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230280619645440).

123361134411060 is an abundant number, since it is smaller than the sum of its proper divisors (337200104879820).

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

123361134411060 is a wasteful number, since it uses less digits than its factorization.

123361134411060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212687 (or 212682 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 123361134411060 its reverse (60114431163321), we get a palindrome (183475565574381).

The spelling of 123361134411060 in words is "one hundred twenty-three trillion, three hundred sixty-one billion, one hundred thirty-four million, four hundred eleven thousand, sixty".