Search a number
-
+
2231122002132 = 223550733376007
BaseRepresentation
bin100000011101111001001…
…111000000000011010100
321220021220201200001102010
4200131321033000003110
5243023314213032012
64424544023344220
7320123166052122
oct40357117000324
97807821601363
102231122002132
11790239228901
123004a62b2070
13132517530b0a
1479db6004912
153d08380ac3c
hex207793c00d4

2231122002132 has 24 divisors (see below), whose sum is σ = 5206047408576. Its totient is φ = 743693609728.

The previous prime is 2231122002119. The next prime is 2231122002173. The reversal of 2231122002132 is 2312002211322.

It is a super-3 number, since 3×22311220021323 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231122002099 and 2231122002108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027128 + ... + 2348879.

It is an arithmetic number, because the mean of its divisors is an integer number (216918642024).

Almost surely, 22231122002132 is an apocalyptic number.

It is an amenable number.

2231122002132 is an abundant number, since it is smaller than the sum of its proper divisors (2974925406444).

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

2231122002132 is a wasteful number, since it uses less digits than its factorization.

2231122002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431087 (or 3431085 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 2231122002132 its reverse (2312002211322), we get a palindrome (4543124213454).

The spelling of 2231122002132 in words is "two trillion, two hundred thirty-one billion, one hundred twenty-two million, two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 55073 110146 165219 220292 330438 660876 3376007 6752014 10128021 13504028 20256042 40512084 185926833511 371853667022 557780500533 743707334044 1115561001066 2231122002132