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20301323022 = 23237163187009
BaseRepresentation
bin10010111010000011…
…011001101100001110
31221101211112001201200
4102322003121230032
5313034114314042
613154251450330
71316041253451
oct227203315416
957354461650
1020301323022
118678627512
123b26a569a6
131bb6c49996
14da8321498
157dc43bc4c
hex4ba0d9b0e

20301323022 has 48 divisors (see below), whose sum is σ = 45452406480. Its totient is φ = 6543783936.

The previous prime is 20301322967. The next prime is 20301323027. The reversal of 20301323022 is 22032310302.

It is a happy number.

20301323022 is a `hidden beast` number, since 20 + 301 + 323 + 0 + 22 = 666.

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 = 20301322986 and 20301323004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20301323027) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15054 + ... + 202062.

It is an arithmetic number, because the mean of its divisors is an integer number (946925135).

Almost surely, 220301323022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20301323022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22726203240).

20301323022 is an abundant number, since it is smaller than the sum of its proper divisors (25151083458).

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

20301323022 is a wasteful number, since it uses less digits than its factorization.

20301323022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187217 (or 187214 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20301323022 its reverse (22032310302), we get a palindrome (42333633324).

The spelling of 20301323022 in words is "twenty billion, three hundred one million, three hundred twenty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 163 222 326 333 489 666 978 1467 2934 6031 12062 18093 36186 54279 108558 187009 374018 561027 1122054 1683081 3366162 6919333 13838666 20757999 30482467 41515998 60964934 62273997 91447401 124547994 182894802 274342203 548684406 1127851279 2255702558 3383553837 6767107674 10150661511 20301323022