Search a number
-
+
1002222001121 = 112944310137001
BaseRepresentation
bin11101001010110010001…
…01100001101111100001
310112210220120111202222212
432211121011201233201
5112410022313013441
62044225303411505
7132256665310265
oct16453105415741
93483816452885
101002222001121
11357049212260
121422a2153b95
13736807313c3
14367175b00a5
151b10b87beeb
hexe959161be1

1002222001121 has 32 divisors (see below), whose sum is σ = 1134868475520. Its totient is φ = 876715840000.

The previous prime is 1002222001111. The next prime is 1002222001133. The reversal of 1002222001121 is 1211002222001.

1002222001121 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 1002222001121 - 26 = 1002222001057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002222001096 and 1002222001105.

It is not an unprimeable number, because it can be changed into a prime (1002222001111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143150621 + ... + 143157621.

It is an arithmetic number, because the mean of its divisors is an integer number (35464639860).

Almost surely, 21002222001121 is an apocalyptic number.

1002222001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002222001121 is a deficient number, since it is larger than the sum of its proper divisors (132646474399).

1002222001121 is a wasteful number, since it uses less digits than its factorization.

1002222001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8497.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002222001121 its reverse (1211002222001), we get a palindrome (2213224223122).

It can be divided in two parts, 1002222001 and 121, that multiplied together give a palindrome (121268862121).

The spelling of 1002222001121 in words is "one trillion, two billion, two hundred twenty-two million, one thousand, one hundred twenty-one".

Divisors: 1 11 29 319 443 1013 4873 7001 11143 12847 29377 77011 141317 203029 323147 448759 2233319 3101443 4936349 7092013 13014011 34115873 78012143 89941847 143154121 205668377 989360317 2262352147 3141761759 34559379349 91111091011 1002222001121