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20122122132 = 223271012692939
BaseRepresentation
bin10010101111010111…
…110011011110010100
31220221100022201022200
4102233113303132110
5312202230402012
613124410524500
71311434134050
oct225727633624
956840281280
1020122122132
118596460202
123a96a36730
131b88a95758
14d8c5d4c60
157cb8403dc
hex4af5f3794

20122122132 has 144 divisors (see below), whose sum is σ = 58944412800. Its totient is φ = 5669164800.

The previous prime is 20122122113. The next prime is 20122122133. The reversal of 20122122132 is 23122122102.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122122133) 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, 6845119 + ... + 6848057.

It is an arithmetic number, because the mean of its divisors is an integer number (409336200).

Almost surely, 220122122132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122122132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29472206400).

20122122132 is an abundant number, since it is smaller than the sum of its proper divisors (38822290668).

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

20122122132 is a wasteful number, since it uses less digits than its factorization.

20122122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3321 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 20122122132 its reverse (23122122102), we get a palindrome (43244244234).

The spelling of 20122122132 in words is "twenty billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 269 303 404 538 606 707 807 909 1076 1212 1414 1614 1818 1883 2121 2421 2828 2939 3228 3636 3766 4242 4842 5649 5878 6363 7532 8484 8817 9684 11298 11756 12726 16947 17634 20573 22596 25452 26451 27169 33894 35268 41146 52902 54338 61719 67788 81507 82292 105804 108676 123438 163014 185157 190183 244521 246876 296839 326028 370314 380366 489042 570549 593678 740628 760732 790591 890517 978084 1141098 1187356 1581182 1711647 1781034 2077873 2282196 2371773 2671551 3162364 3423294 3562068 4155746 4743546 5343102 5534137 6233619 6846588 7115319 8311492 9487092 10686204 11068274 12467238 14230638 16602411 18700857 22136548 24934476 28461276 33204822 37401714 49807233 66409644 74803428 79849691 99614466 159699382 199228932 239549073 319398764 479098146 558947837 718647219 958196292 1117895674 1437294438 1676843511 2235791348 2874588876 3353687022 5030530533 6707374044 10061061066 20122122132