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120323312021022 = 23114122160150207
BaseRepresentation
bin11011010110111011110100…
…010001010110111000011110
3120210000210111111101102122120
4123112323310101112320132
5111232334120334133042
61103523433315323410
734226033561053425
oct3326736421267036
9523023444342576
10120323312021022
113537a9148a4990
12115b35698b0566
13521a593b63c56
14219d9722c22bc
15dd9d43709dec
hex6d6ef4456e1e

120323312021022 has 96 divisors (see below), whose sum is σ = 269100592008192. Its totient is φ = 35569946880000.

The previous prime is 120323312020999. The next prime is 120323312021023. The reversal of 120323312021022 is 220120213323021.

It is a junction number, because it is equal to n+sod(n) for n = 120323312020983 and 120323312021001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120323312021023) 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, 2396519443 + ... + 2396569649.

It is an arithmetic number, because the mean of its divisors is an integer number (2803131166752).

Almost surely, 2120323312021022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120323312021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134550296004096).

120323312021022 is an abundant number, since it is smaller than the sum of its proper divisors (148777279987170).

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

120323312021022 is a wasteful number, since it uses less digits than its factorization.

120323312021022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71906 (or 71865 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 120323312021022 its reverse (220120213323021), we get a palindrome (340443525344043).

The spelling of 120323312021022 in words is "one hundred twenty trillion, three hundred twenty-three billion, three hundred twelve million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 41 66 82 123 246 451 902 1353 1681 2706 3362 5043 10086 18491 21601 36982 43202 50207 55473 64803 100414 110946 129606 150621 237611 301242 475222 552277 712833 885641 1104554 1425666 1656831 1771282 2058487 2656923 3313662 4116974 5313846 6175461 9742051 12350922 19484102 22643357 29226153 36311281 45286714 58452306 67930071 72622562 84397967 108933843 135860142 168795934 217867686 253193901 399424091 506387802 798848182 928377637 1084521407 1198272273 1856755274 2169042814 2396544546 2785132911 3253564221 5570265822 6507128442 11929735477 23859470954 35789206431 44465377687 71578412862 88930755374 133396133061 266792266122 489119154557 978238309114 1467357463671 1823080485167 2934714927342 3646160970334 5469241455501 10938482911002 20053885336837 40107770673674 60161656010511 120323312021022