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10010000091 = 3713374432237
BaseRepresentation
bin10010101001010010…
…00111101011011011
3221211121120200200010
421110221013223123
5131000030000331
64333141013003
7503025411510
oct112451075333
927747520603
1010010000091
114277425253
121b343b4163
13c36aac0a0
146ad607307
153d8bd5e46
hex254a47adb

10010000091 has 64 divisors (see below), whose sum is σ = 16916272128. Its totient is φ = 5123409408.

The previous prime is 10010000059. The next prime is 10010000111. The reversal of 10010000091 is 19000001001.

10010000091 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 10010000091 - 25 = 10010000059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10010000491) 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, 4473625 + ... + 4475861.

It is an arithmetic number, because the mean of its divisors is an integer number (264316752).

Almost surely, 210010000091 is an apocalyptic number.

10010000091 is a deficient number, since it is larger than the sum of its proper divisors (6906272037).

10010000091 is a wasteful number, since it uses less digits than its factorization.

10010000091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2740.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 10010000091 its reverse (19000001001), we get a palindrome (29010001092).

The spelling of 10010000091 in words is "ten billion, ten million, ninety-one", and thus it is an aban number and an uban number.

Divisors: 1 3 7 13 21 37 39 91 111 259 273 443 481 777 1329 1443 2237 3101 3367 5759 6711 9303 10101 15659 16391 17277 29081 40313 46977 49173 82769 87243 114737 120939 203567 213083 248307 344211 579383 610701 639249 990991 1075997 1491581 1738149 2972973 3227991 4474743 6936937 7531979 12882883 20810811 22595937 36666667 38648649 90180181 110000001 256666669 270540543 476666671 770000007 1430000013 3336666697 10010000091