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10616162130 = 23557347271
BaseRepresentation
bin10011110001100010…
…11100011101010010
31000101212011220200000
421320301130131102
5133220214142010
64513233110430
7524035614000
oct117061343522
930355156600
1010616162130
114558601812
1220833b8416
131002554652
14729d15a70
1542201e7c0
hex278c5c752

10616162130 has 384 divisors, whose sum is σ = 34217164800. Its totient is φ = 2366159040.

The previous prime is 10616162107. The next prime is 10616162149. The reversal of 10616162130 is 3126161601.

10616162130 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 1 + 621 + 30 = 666.

10616162130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106161621302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10616162094 and 10616162103.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 39173895 + ... + 39174165.

It is an arithmetic number, because the mean of its divisors is an integer number (89107200).

Almost surely, 210616162130 is an apocalyptic number.

10616162130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10616162130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17108582400).

10616162130 is an abundant number, since it is smaller than the sum of its proper divisors (23601002670).

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

10616162130 is an equidigital number, since it uses as much as digits as its factorization.

10616162130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10616162130 in words is "ten billion, six hundred sixteen million, one hundred sixty-two thousand, one hundred thirty".