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10033300101 = 3113789127727
BaseRepresentation
bin10010101100000100…
…00000001010000101
3221220020102110021110
421112002000022011
5131022011100401
64335332235233
7503430433536
oct112602001205
927806373243
1010033300101
114289599960
121b4016bb19
13c3b879586
146b275068d
153dac899d6
hex256080285

10033300101 has 64 divisors (see below), whose sum is σ = 15297085440. Its totient is φ = 5795919360.

The previous prime is 10033300073. The next prime is 10033300103. The reversal of 10033300101 is 10100333001.

10033300101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10033300101 - 211 = 10033298053 is a prime.

It is a super-2 number, since 2×100333001012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10033300103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13800600 + ... + 13801326.

It is an arithmetic number, because the mean of its divisors is an integer number (239016960).

Almost surely, 210033300101 is an apocalyptic number.

10033300101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10033300101 is a deficient number, since it is larger than the sum of its proper divisors (5263785339).

10033300101 is a wasteful number, since it uses less digits than its factorization.

10033300101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10033300101 its reverse (10100333001), we get a palindrome (20133633102).

The spelling of 10033300101 in words is "ten billion, thirty-three million, three hundred thousand, one hundred one".

Divisors: 1 3 11 33 37 89 111 127 267 381 407 727 979 1221 1397 2181 2937 3293 4191 4699 7997 9879 11303 14097 23991 26899 33909 36223 51689 64703 80697 92329 108669 124333 155067 194109 276987 295889 372999 418211 711733 887667 1015619 1254633 2135199 2394011 3046857 3416173 4600321 7182033 8217281 10248519 13800963 24651843 26334121 37577903 79002363 90390091 112733709 271170273 304039397 912118191 3344433367 10033300101