Search a number
-
+
11120001012021 = 311191011071641089
BaseRepresentation
bin1010000111010001001110…
…1101011101000100110101
31110101001122222201201001010
42201310103231131010311
52424142230224341041
635352242525422433
72225251664022246
oct241642355350465
943331588651033
1011120001012021
1135a7a69745410
1212b7169a0aa19
136287c48a3c45
142a62d4aa2ccd
151443cb7aea16
hexa1d13b5d135

11120001012021 has 64 divisors (see below), whose sum is σ = 17355117542400. Its totient is φ = 6262391808000.

The previous prime is 11120001012019. The next prime is 11120001012031. The reversal of 11120001012021 is 12021010002111.

11120001012021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11120001012021 - 21 = 11120001012019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11120001011988 and 11120001012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120001012031) 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, 5955445 + ... + 7596533.

It is an arithmetic number, because the mean of its divisors is an integer number (271173711600).

Almost surely, 211120001012021 is an apocalyptic number.

11120001012021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11120001012021 is a deficient number, since it is larger than the sum of its proper divisors (6235116530379).

11120001012021 is a wasteful number, since it uses less digits than its factorization.

11120001012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641330.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11120001012021 its reverse (12021010002111), we get a palindrome (23141011014132).

The spelling of 11120001012021 in words is "eleven trillion, one hundred twenty billion, one million, twelve thousand, twenty-one".

Divisors: 1 3 11 19 33 57 101 107 209 303 321 627 1111 1177 1919 2033 3333 3531 5757 6099 10807 21109 22363 32421 63327 67089 118877 205333 356631 615999 1641089 2258663 4923267 6775989 18051979 31180691 54155937 93542073 165749989 175596523 342987601 497249967 526789569 1028962803 1823249879 1931561753 3149249791 3336333937 5469749637 5794685259 9447749373 10009001811 17735248823 34641747701 36699673307 53205746469 103925243103 110099019921 195087737053 336969727637 585263211159 1010909182911 3706667004007 11120001012021