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101552113069056 = 21034132389139331
BaseRepresentation
bin10111000101110001110001…
…101000000010110000000000
3111022120021202100212212110000
4113011301301220002300000
5101302312211421202211
6555552221404240000
730250620013431606
oct2705616150026000
9438507670785400
10101552113069056
112a3a3011407681
12b481591240000
134488428014890
141b1121169b876
15bb190bca8656
hex5c5c71a02c00

101552113069056 has 1760 divisors, whose sum is σ = 348137750822400. Its totient is φ = 29251177021440.

The previous prime is 101552113069027. The next prime is 101552113069063. The reversal of 101552113069056 is 650960311255101.

101552113069056 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 521 + 1 + 30 + 6 + 90 + 5 + 6 = 666.

101552113069056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1015521130690562 (a number of 29 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 306803966811 + ... + 306803967141.

It is an arithmetic number, because the mean of its divisors is an integer number (197805540240).

Almost surely, 2101552113069056 is an apocalyptic number.

101552113069056 is a gapful number since it is divisible by the number (16) 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 101552113069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174068875411200).

101552113069056 is an abundant number, since it is smaller than the sum of its proper divisors (246585637753344).

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

101552113069056 is a wasteful number, since it uses less digits than its factorization.

101552113069056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 45.

The spelling of 101552113069056 in words is "one hundred one trillion, five hundred fifty-two billion, one hundred thirteen million, sixty-nine thousand, fifty-six".