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10141333000113 = 3719432692197361
BaseRepresentation
bin1001001110010011011010…
…0011010000111110110001
31022220111112221012112222010
42103210312203100332301
52312123422222000423
633322510345433133
72064454454126310
oct223446643207661
938814487175863
1010141333000113
11325aa08104947
12117955ba9b7a9
13587428c3ab83
14270bb37cc277
15128becbc2693
hex939368d0fb1

10141333000113 has 64 divisors (see below), whose sum is σ = 16706982758400. Its totient is φ = 5342432578560.

The previous prime is 10141333000087. The next prime is 10141333000339. The reversal of 10141333000113 is 31100033314101.

10141333000113 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 10141333000113 - 25 = 10141333000081 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10141333000113.

It is not an unprimeable number, because it can be changed into a prime (10141333000013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3516553 + ... + 5713913.

It is an arithmetic number, because the mean of its divisors is an integer number (261046605600).

Almost surely, 210141333000113 is an apocalyptic number.

It is an amenable number.

10141333000113 is a deficient number, since it is larger than the sum of its proper divisors (6565649758287).

10141333000113 is a wasteful number, since it uses less digits than its factorization.

10141333000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197702.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 10141333000113 its reverse (31100033314101), we get a palindrome (41241366314214).

The spelling of 10141333000113 in words is "ten trillion, one hundred forty-one billion, three hundred thirty-three million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 3 7 19 21 43 57 129 133 269 301 399 807 817 903 1883 2451 5111 5649 5719 11567 15333 17157 34701 35777 80969 107331 219773 242907 659319 1538411 2197361 4615233 6592083 15381527 41749859 46144581 94486523 125249577 283459569 292249013 591090109 661405661 876747039 1773270327 1795243937 1984216983 4137630763 5385731811 11230712071 12412892289 12566707559 25416874687 33692136213 37700122677 76250624061 78614984497 177918122809 235844953491 482920619053 533754368427 1448761857159 3380444333371 10141333000113