Search a number
-
+
1002122222131 = 19235938867557
BaseRepresentation
bin11101001010100110010…
…00111001101000110011
310112210122121202110221201
432211103020321220303
5112404321242102011
62044211341032031
7132254344225402
oct16452310715063
93483577673851
101002122222131
11356aa7961888
12142274855617
1373665b67394
1436708239639
151b102c1ccc1
hexe953239a33

1002122222131 has 16 divisors (see below), whose sum is σ = 1119385670400. Its totient is φ = 892710026208.

The previous prime is 1002122222107. The next prime is 1002122222147. The reversal of 1002122222131 is 1312222212001.

1002122222131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 1002122222131 - 29 = 1002122221619 is a prime.

It is a super-2 number, since 2×10021222221312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002122222099 and 1002122222108.

It is not an unprimeable number, because it can be changed into a prime (1002122222191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19407996 + ... + 19459561.

It is an arithmetic number, because the mean of its divisors is an integer number (69961604400).

Almost surely, 21002122222131 is an apocalyptic number.

1002122222131 is a deficient number, since it is larger than the sum of its proper divisors (117263448269).

1002122222131 is a wasteful number, since it uses less digits than its factorization.

1002122222131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38867658.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 1002122222131 its reverse (1312222212001), we get a palindrome (2314344434132).

The spelling of 1002122222131 in words is "one trillion, two billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 19 23 59 437 1121 1357 25783 38867557 738483583 893953811 2293185863 16985122409 43570531397 52743274849 1002122222131