Search a number
-
+
2002122331220 = 2251144920268499
BaseRepresentation
bin11101001000100111110…
…010100101010001010100
321002101211100101110002002
4131020213302211101110
5230300321304044340
64131432353534432
7264435313010444
oct35104762452124
97071740343062
102002122331220
11702105951730
12284036874418
13116a5117076b
146cc906b0124
153712e4a6715
hex1d227ca5454

2002122331220 has 48 divisors (see below), whose sum is σ = 4596895800000. Its totient is φ = 726422968320.

The previous prime is 2002122331193. The next prime is 2002122331247. The reversal of 2002122331220 is 221332212002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2002122331193) and next prime (2002122331247).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2002122331192 and 2002122331201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10035470 + ... + 10233029.

It is an arithmetic number, because the mean of its divisors is an integer number (95768662500).

Almost surely, 22002122331220 is an apocalyptic number.

2002122331220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002122331220 is an abundant number, since it is smaller than the sum of its proper divisors (2594773468780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002122331220 is a wasteful number, since it uses less digits than its factorization.

2002122331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20268968 (or 20268966 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2002122331220 its reverse (221332212002), we get a palindrome (2223454543222).

The spelling of 2002122331220 in words is "two trillion, two billion, one hundred twenty-two million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 449 898 1796 2245 4490 4939 8980 9878 19756 24695 49390 98780 20268499 40536998 81073996 101342495 202684990 222953489 405369980 445906978 891813956 1114767445 2229534890 4459069780 9100556051 18201112102 36402224204 45502780255 91005560510 100106116561 182011121020 200212233122 400424466244 500530582805 1001061165610 2002122331220