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10921724801 = 138918152153
BaseRepresentation
bin10100010101111110…
…00100101110000001
31001012011011002211222
422022333010232001
5134331430143201
65003430244425
7534436062161
oct121277045601
931164132758
1010921724801
1146a5035549
1221497b6715
13105094c370
147587365a1
1543dc7b91b
hex28afc4b81

10921724801 has 16 divisors (see below), whose sum is σ = 11959955280. Its totient is φ = 9913052160.

The previous prime is 10921724773. The next prime is 10921724867. The reversal of 10921724801 is 10842712901.

It can be written as a sum of positive squares in 8 ways, for example, as 1395769600 + 9525955201 = 37360^2 + 97601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10921724801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10921724101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183341 + ... + 235493.

It is an arithmetic number, because the mean of its divisors is an integer number (747497205).

Almost surely, 210921724801 is an apocalyptic number.

It is an amenable number.

10921724801 is a deficient number, since it is larger than the sum of its proper divisors (1038230479).

10921724801 is a wasteful number, since it uses less digits than its factorization.

10921724801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52436.

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 10921724801 in words is "ten billion, nine hundred twenty-one million, seven hundred twenty-four thousand, eight hundred one".

Divisors: 1 13 89 181 1157 2353 16109 52153 209417 677989 4641617 9439693 60341021 122716009 840132677 10921724801