Search a number
-
+
13901101214 = 27112131933223
BaseRepresentation
bin11001111001001000…
…11111100010011110
31022212210101002221112
430330210133202132
5211432140214324
610215220502022
71001324260610
oct147444374236
938783332845
1013901101214
11599389a100
12283b54a912
131406c926a0
1495c2d0db0
155655e9c0e
hex33c91f89e

13901101214 has 96 divisors (see below), whose sum is σ = 29694282240. Its totient is φ = 4736128320.

The previous prime is 13901101211. The next prime is 13901101219. The reversal of 13901101214 is 41210110931.

It is a super-2 number, since 2×139011012142 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13901101214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13901101211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401807 + ... + 435029.

It is an arithmetic number, because the mean of its divisors is an integer number (309315440).

Almost surely, 213901101214 is an apocalyptic number.

13901101214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13901101214 is an abundant number, since it is smaller than the sum of its proper divisors (15793181026).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13901101214 is a wasteful number, since it uses less digits than its factorization.

13901101214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33286 (or 33275 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The spelling of 13901101214 in words is "thirteen billion, nine hundred one million, one hundred one thousand, two hundred fourteen".

Divisors: 1 2 7 11 13 14 19 22 26 38 77 91 121 133 143 154 182 209 242 247 266 286 418 494 847 1001 1463 1573 1694 1729 2002 2299 2717 2926 3146 3458 4598 5434 11011 16093 19019 22022 29887 32186 33223 38038 59774 66446 209209 232561 365453 418418 431899 465122 631237 730906 863798 1262474 2558171 3023293 4019983 4418659 4750889 5116342 6046586 6943607 8039966 8206081 8837318 9501778 13887214 16412162 28139881 33256223 48605249 52259779 56279762 57442567 66512446 76379677 90266891 97210498 104519558 114885134 152759354 180533782 365818453 534657739 631868237 731636906 992935801 1069315478 1263736474 1985871602 6950550607 13901101214