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10113330200031 = 32232919745718713
BaseRepresentation
bin1001001100101011000101…
…1101000011110111011111
31022210211021100222220211100
42103022301131003313133
52311144100012400111
633301555540324143
72062443515220612
oct223126135036737
938724240886740
1010113330200031
11324a048275763
1211740459a3653
135848b557c796
1426d6b8710179
1512810e5a6756
hex932b1743ddf

10113330200031 has 96 divisors (see below), whose sum is σ = 15884485119360. Its totient is φ = 6181204119552.

The previous prime is 10113330200003. The next prime is 10113330200047. The reversal of 10113330200031 is 13000203331101.

It is a happy number.

10113330200031 is a `hidden beast` number, since 101 + 1 + 3 + 330 + 200 + 0 + 31 = 666.

It is not a de Polignac number, because 10113330200031 - 26 = 10113330199967 is a prime.

It is a super-2 number, since 2×101133302000312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10113330199977 and 10113330200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113330200081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 540434731 + ... + 540453443.

It is an arithmetic number, because the mean of its divisors is an integer number (165463386660).

Almost surely, 210113330200031 is an apocalyptic number.

10113330200031 is a deficient number, since it is larger than the sum of its proper divisors (5771154919329).

10113330200031 is a wasteful number, since it uses less digits than its factorization.

10113330200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19425 (or 19422 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10113330200031 its reverse (13000203331101), we get a palindrome (23113533531132).

The spelling of 10113330200031 in words is "ten trillion, one hundred thirteen billion, three hundred thirty million, two hundred thousand, thirty-one".

Divisors: 1 3 9 23 29 69 87 197 207 261 457 591 667 1371 1773 2001 4113 4531 5713 6003 10511 13253 13593 17139 18713 31533 39759 40779 51417 56139 90029 94599 119277 131399 168417 270087 304819 394197 430399 542677 810261 914457 1182591 1291197 1628031 2070667 2610841 2743371 3686461 3873591 4884093 6212001 7832523 8551841 11059383 12481571 18636003 23497569 25655523 33178149 37444713 60049343 76966569 84788603 106907369 112334139 180148029 196692343 248003389 254365809 320722107 540444087 590077029 744010167 763097427 962166321 1684712677 1770231087 2232030501 2458869487 5054138031 5704077947 7376608461 15162414093 17112233841 22129825383 38748391571 48856667633 51336701523 116245174713 146570002899 348735524139 439710008697 1123703355559 3371110066677 10113330200031