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20231132022 = 234316166041
BaseRepresentation
bin10010110101110111…
…101001001101110110
31221012221102222210000
4102311313221031312
5312413132211042
613143303212130
71314226533123
oct226567511566
957187388700
1020231132022
118641a45a22
123b07447046
131ba554224a
14d9cc8d74a
157d61c474c
hex4b5de9376

20231132022 has 80 divisors (see below), whose sum is σ = 47562920064. Its totient is φ = 6419088000.

The previous prime is 20231132021. The next prime is 20231132023. The reversal of 20231132022 is 22023113202.

It is an interprime number because it is at equal distance from previous prime (20231132021) and next prime (20231132023).

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 = 20231131986 and 20231132004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231132021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273322 + ... + 339362.

Almost surely, 220231132022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20231132022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23781460032).

20231132022 is an abundant number, since it is smaller than the sum of its proper divisors (27331788042).

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

20231132022 is a wasteful number, since it uses less digits than its factorization.

20231132022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66147 (or 66138 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20231132022 its reverse (22023113202), we get a palindrome (42254245224).

It can be divided in two parts, 2023113202 and 2, that multiplied together give a palindrome (4046226404).

The spelling of 20231132022 in words is "twenty billion, two hundred thirty-one million, one hundred thirty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 61 62 81 93 122 162 183 186 279 366 549 558 837 1098 1647 1674 1891 2511 3294 3782 4941 5022 5673 9882 11346 17019 34038 51057 66041 102114 132082 153171 198123 306342 396246 594369 1188738 1783107 2047271 3566214 4028501 4094542 5349321 6141813 8057002 10698642 12085503 12283626 18425439 24171006 36256509 36850878 55276317 72513018 108769527 110552634 124883531 165828951 217539054 249767062 326308581 331657902 374650593 652617162 749301186 1123951779 2247903558 3371855337 6743710674 10115566011 20231132022