Search a number
-
+
10000113021342 = 2331631889601439
BaseRepresentation
bin1001000110000101010100…
…1011110011000110011110
31022102000001001220022222000
42101201111023303012132
52302320212413140332
633133553303303130
72051325060121503
oct221412513630636
938360031808860
1010000113021342
11320602a109694
12115610974aaa6
135770116aab62
1426801814d4aa
151251d4d1ab7c
hex918552f319e

10000113021342 has 64 divisors (see below), whose sum is σ = 22370681088000. Its totient is φ = 3311161576704.

The previous prime is 10000113021323. The next prime is 10000113021401. The reversal of 10000113021342 is 24312031100001.

10000113021342 is a `hidden beast` number, since 10 + 0 + 0 + 0 + 11 + 302 + 1 + 342 = 666.

It is a super-2 number, since 2×100001130213422 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16326259 + ... + 16927697.

It is an arithmetic number, because the mean of its divisors is an integer number (349541892000).

Almost surely, 210000113021342 is an apocalyptic number.

10000113021342 is an abundant number, since it is smaller than the sum of its proper divisors (12370568066658).

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

10000113021342 is a wasteful number, since it uses less digits than its factorization.

10000113021342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603502 (or 603496 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10000113021342 its reverse (24312031100001), we get a palindrome (34312144121343).

The spelling of 10000113021342 in words is "ten trillion, one hundred thirteen million, twenty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 163 326 489 978 1467 1889 2934 3778 4401 5667 8802 11334 17001 34002 51003 102006 307907 601439 615814 923721 1202878 1804317 1847442 2771163 3608634 5412951 5542326 8313489 10825902 16238853 16626978 32477706 98034557 196069114 294103671 588207342 882311013 1136118271 1764622026 2272236542 2646933039 3408354813 5293866078 6816709626 10225064439 20450128878 30675193317 61350386634 185187278173 370374556346 555561834519 1111123669038 1666685503557 3333371007114 5000056510671 10000113021342