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10202616061 = 112614193299
BaseRepresentation
bin10011000000001111…
…11001000011111101
3222100001000121002221
421200013321003331
5131343332203221
64404221245341
7510554543221
oct114007710375
928301017087
1010202616061
114366124500
121b88a03851
13c6797c431
146cb026781
153eaa82541
hex2601f90fd

10202616061 has 24 divisors (see below), whose sum is σ = 11428956000. Its totient is φ = 9098522400.

The previous prime is 10202616059. The next prime is 10202616077. The reversal of 10202616061 is 16061620201.

10202616061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10202616061 - 21 = 10202616059 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202616031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3090990 + ... + 3094288.

It is an arithmetic number, because the mean of its divisors is an integer number (476206500).

Almost surely, 210202616061 is an apocalyptic number.

10202616061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10202616061 is a deficient number, since it is larger than the sum of its proper divisors (1226339939).

10202616061 is a wasteful number, since it uses less digits than its factorization.

10202616061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 10202616061 in words is "ten billion, two hundred two million, six hundred sixteen thousand, sixty-one".

Divisors: 1 11 61 121 419 671 3299 4609 7381 25559 36289 50699 201239 281149 399179 1382281 2213629 3092639 15205091 24349919 84319141 167256001 927510551 10202616061