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10061106101 = 353123723041
BaseRepresentation
bin10010101111011000…
…00100101110110101
3221222011202010221022
421113230010232311
5131101120343401
64342204230525
7504215663564
oct112754045665
927864663838
1010061106101
1142a3260a22
121b4953b445
13c44563a27
146b630bbdb
153dd42d71b
hex257b04bb5

10061106101 has 8 divisors (see below), whose sum is σ = 10098202584. Its totient is φ = 10024058880.

The previous prime is 10061106061. The next prime is 10061106113. The reversal of 10061106101 is 10160116001.

It can be written as a sum of positive squares in 4 ways, for example, as 978063076 + 9083043025 = 31274^2 + 95305^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10061106101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10061106101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10061106151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 425141 + ... + 448181.

It is an arithmetic number, because the mean of its divisors is an integer number (1262275323).

Almost surely, 210061106101 is an apocalyptic number.

It is an amenable number.

10061106101 is a deficient number, since it is larger than the sum of its proper divisors (37096483).

10061106101 is a wasteful number, since it uses less digits than its factorization.

10061106101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24631.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 10061106101 in words is "ten billion, sixty-one million, one hundred six thousand, one hundred one".

Divisors: 1 353 1237 23041 436661 8133473 28501717 10061106101