Search a number
-
+
10114333433541 = 3310927191263973
BaseRepresentation
bin1001001100101110110101…
…0000000101111011000101
31022210220212021202110111000
42103023231100011323011
52311203123324333131
633302243255203513
72062510416446631
oct223135520057305
938726767673430
1010114333433541
11324a5125a7967
121174285976599
13584a1537c68c
1426d771a5ddc1
1512816c6c5ce6
hex932ed405ec5

10114333433541 has 32 divisors (see below), whose sum is σ = 15127240832000. Its totient is φ = 6678565141824.

The previous prime is 10114333433539. The next prime is 10114333433641. The reversal of 10114333433541 is 14533433341101.

10114333433541 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 43 + 33 + 43 + 3 + 541 = 666.

It is not a de Polignac number, because 10114333433541 - 21 = 10114333433539 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10114333433496 and 10114333433505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114333433521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7370031 + ... + 8634003.

It is an arithmetic number, because the mean of its divisors is an integer number (472726276000).

Almost surely, 210114333433541 is an apocalyptic number.

It is an amenable number.

10114333433541 is a deficient number, since it is larger than the sum of its proper divisors (5012907398459).

10114333433541 is a wasteful number, since it uses less digits than its factorization.

10114333433541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266810 (or 1266804 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 10114333433541 its reverse (14533433341101), we get a palindrome (24647766774642).

The spelling of 10114333433541 in words is "ten trillion, one hundred fourteen billion, three hundred thirty-three million, four hundred thirty-three thousand, five hundred forty-one".

Divisors: 1 3 9 27 109 327 981 2719 2943 8157 24471 73413 296371 889113 1263973 2667339 3791919 8002017 11375757 34127271 137773057 413319171 1239957513 3436742587 3719872539 10310227761 30930683283 92792049849 374604941983 1123814825949 3371444477847 10114333433541