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100830873 = 31121323929
BaseRepresentation
bin1100000001010…
…00111010011001
321000201201221210
412000220322121
5201303041443
614001053333
72333022363
oct600507231
9230651853
10100830873
1151a09800
1229927249
1317b74a50
14d569d33
158cbac33
hex6028e99

100830873 has 48 divisors (see below), whose sum is σ = 166239360. Its totient is φ = 53898240.

The previous prime is 100830871. The next prime is 100830887. The reversal of 100830873 is 378038001.

It is not a de Polignac number, because 100830873 - 21 = 100830871 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100830873.

It is not an unprimeable number, because it can be changed into a prime (100830871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108073 + ... + 109001.

It is an arithmetic number, because the mean of its divisors is an integer number (3463320).

Almost surely, 2100830873 is an apocalyptic number.

100830873 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100830873 is a deficient number, since it is larger than the sum of its proper divisors (65408487).

100830873 is a wasteful number, since it uses less digits than its factorization.

100830873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 100830873 is about 10041.4577129020. The cubic root of 100830873 is about 465.4408629620.

Adding to 100830873 its reverse (378038001), we get a palindrome (478868874).

The spelling of 100830873 in words is "one hundred million, eight hundred thirty thousand, eight hundred seventy-three".

Divisors: 1 3 11 13 23 33 39 69 121 143 253 299 363 429 759 897 929 1573 2783 2787 3289 4719 8349 9867 10219 12077 21367 30657 36179 36231 64101 108537 112409 132847 235037 277771 337227 398541 705111 833313 1461317 2585407 3055481 4383951 7756221 9166443 33610291 100830873