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2002132022022 = 2321141626939341
BaseRepresentation
bin11101001000101000010…
…111100011001100000110
321002101212000121210100200
4131020220113203030012
5230300331244201042
64131433341351330
7264435461251506
oct35105027431406
97071760553320
102002132022022
11702110370560
12284039b68546
13116a53184672
146cc91ab3a06
153713026cc4c
hex1d2285e3306

2002132022022 has 96 divisors (see below), whose sum is σ = 4848630827040. Its totient is φ = 591799488000.

The previous prime is 2002132022003. The next prime is 2002132022029. The reversal of 2002132022022 is 2202202312002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2002132021986 and 2002132022004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002132022029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50872072 + ... + 50911412.

It is an arithmetic number, because the mean of its divisors is an integer number (50506571115).

Almost surely, 22002132022022 is an apocalyptic number.

2002132022022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002132022022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424315413520).

2002132022022 is an abundant number, since it is smaller than the sum of its proper divisors (2846498805018).

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

2002132022022 is a wasteful number, since it uses less digits than its factorization.

2002132022022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45670 (or 45667 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 2002132022022 its reverse (2202202312002), we get a palindrome (4204334334024).

The spelling of 2002132022022 in words is "two trillion, two billion, one hundred thirty-two million, twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 6269 8118 12538 18807 37614 39341 56421 68959 78682 112842 118023 137918 206877 236046 257029 354069 413754 432751 514058 620631 708138 771087 865502 1241262 1298253 1542174 1612981 2313261 2596506 2827319 3225962 3894759 4626522 4838943 5654638 7789518 8481957 9677886 14516829 16963914 17742791 25445871 29033658 35485582 50891742 53228373 106456746 159685119 246628729 319370238 493257458 739886187 1479772374 2219658561 2712916019 4439317122 5425832038 8138748057 10111777889 16277496114 20223555778 24416244171 30335333667 48832488342 60670667334 91006001001 111229556779 182012002002 222459113558 333688670337 667377340674 1001066011011 2002132022022