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10114201143 = 3231247139179
BaseRepresentation
bin10010110101101101…
…00111011000110111
3222002212122122122100
421122312213120313
5131203213414033
64351342233143
7505432201614
oct113266473067
928085578570
1010114201143
114320226022
121b632857b3
13c52563b07
146bd3ad50b
153e2e1a513
hex25ada7637

10114201143 has 72 divisors (see below), whose sum is σ = 15614726400. Its totient is φ = 6305087520.

The previous prime is 10114201063. The next prime is 10114201157. The reversal of 10114201143 is 34110241101.

10114201143 is a `hidden beast` number, since 101 + 1 + 420 + 1 + 143 = 666.

It is not a de Polignac number, because 10114201143 - 224 = 10097423927 is a prime.

It is a super-2 number, since 2×101142011432 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114201043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56503828 + ... + 56504006.

It is an arithmetic number, because the mean of its divisors is an integer number (216871200).

Almost surely, 210114201143 is an apocalyptic number.

10114201143 is a deficient number, since it is larger than the sum of its proper divisors (5500525257).

10114201143 is a wasteful number, since it uses less digits than its factorization.

10114201143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10114201143 its reverse (34110241101), we get a palindrome (44224442244).

The spelling of 10114201143 in words is "ten billion, one hundred fourteen million, two hundred one thousand, one hundred forty-three".

Divisors: 1 3 9 31 47 93 139 141 179 279 417 423 537 961 1251 1457 1611 2883 4309 4371 5549 6533 8413 8649 12927 13113 16647 19599 24881 25239 38781 45167 49941 58797 74643 75717 133579 135501 172019 202523 223929 260803 400737 406503 516057 607569 771311 782409 1169407 1202211 1548171 1822707 2313933 2347227 3508221 6278213 6941799 8084893 10524663 18834639 23910641 24254679 36251617 56503917 71731923 72764037 108754851 215195769 326264553 1123800127 3371400381 10114201143