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20332001030032 = 2423531975291639
BaseRepresentation
bin1001001111101111010011…
…01100101110111110010000
32122222201110002222021221101
410213313221230232332100
510131104414230430112
6111124220424234144
74165636640145016
oct447675154567620
978881402867841
1020332001030032
11652983158889a
12234458a00b954
13b463b7c22873
145041074908b6
15253d36b86757
hex127de9b2ef90

20332001030032 has 80 divisors (see below), whose sum is σ = 42094191870720. Its totient is φ = 9492097911296.

The previous prime is 20332001030017. The next prime is 20332001030057. The reversal of 20332001030032 is 23003010023302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20332001029991 and 20332001030009.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1196469 + ... + 6488107.

It is an arithmetic number, because the mean of its divisors is an integer number (526177398384).

Almost surely, 220332001030032 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 20332001030032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21047095935360).

20332001030032 is an abundant number, since it is smaller than the sum of its proper divisors (21762190840688).

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

20332001030032 is a wasteful number, since it uses less digits than its factorization.

20332001030032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5291920 (or 5291914 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 20332001030032 its reverse (23003010023302), we get a palindrome (43335011053334).

The spelling of 20332001030032 in words is "twenty trillion, three hundred thirty-two billion, one million, thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 197 212 368 394 424 788 848 1219 1576 2438 3152 4531 4876 9062 9752 10441 18124 19504 20882 36248 41764 72496 83528 167056 240143 480286 960572 1921144 3842288 5291639 10583278 21166556 42333112 84666224 121707697 243415394 280456867 486830788 560913734 973661576 1042452883 1121827468 1947323152 2084905766 2243654936 4169811532 4487309872 6450507941 8339623064 12901015882 16679246128 23976416309 25802031764 47952832618 51604063528 55250002799 95905665236 103208127056 110500005598 191811330472 221000011196 383622660944 442000022392 884000044784 1270750064377 2541500128754 5083000257508 10166000515016 20332001030032