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10114215061553 = 411491655625317
BaseRepresentation
bin1001001100101110011000…
…1100100010100000110001
31022210220120001000112122022
42103023212030202200301
52311202403023432203
633302223430121225
72062504451346041
oct223134614424061
938726501015568
1010114215061553
11324a4617a8279
1211742521b0215
135849c69a5795
1426d760049721
151281620e2a38
hex932e6322831

10114215061553 has 8 divisors (see below), whose sum is σ = 10430439503400. Its totient is φ = 9801301870720.

The previous prime is 10114215061523. The next prime is 10114215061609. The reversal of 10114215061553 is 35516051241101.

It can be written as a sum of positive squares in 4 ways, for example, as 142470012304 + 9971745049249 = 377452^2 + 3157807^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10114215061553 - 28 = 10114215061297 is a prime.

It is a super-3 number, since 3×101142150615533 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10114215061523) 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, 827806550 + ... + 827818767.

It is an arithmetic number, because the mean of its divisors is an integer number (1303804937925).

Almost surely, 210114215061553 is an apocalyptic number.

It is an amenable number.

10114215061553 is a deficient number, since it is larger than the sum of its proper divisors (316224441847).

10114215061553 is a wasteful number, since it uses less digits than its factorization.

10114215061553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655625507.

The product of its (nonzero) digits is 18000, while the sum is 35.

The spelling of 10114215061553 in words is "ten trillion, one hundred fourteen billion, two hundred fifteen million, sixty-one thousand, five hundred fifty-three".

Divisors: 1 41 149 6109 1655625317 67880637997 246688172233 10114215061553