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2032022120000 = 265453958501
BaseRepresentation
bin11101100100011101111…
…101001110011001000000
321012021000010010002111112
4131210131331032121000
5231243040130320000
64153255330102452
7266544255014345
oct35443575163100
97167003102445
102032022120000
1171385956a574
122899a011aa28
13119807849b82
14704c96b07cc
1537cce3d8235
hex1d91df4e640

2032022120000 has 140 divisors (see below), whose sum is σ = 5133830645196. Its totient is φ = 797472000000.

The previous prime is 2032022119987. The next prime is 2032022120003. The reversal of 2032022120000 is 212202302.

It can be written as a sum of positive squares in 10 ways, for example, as 1508691410944 + 523330709056 = 1228288^2 + 723416^2 .

It is a super-2 number, since 2×20320221200002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2032022120003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1640750 + ... + 2599250.

Almost surely, 22032022120000 is an apocalyptic number.

2032022120000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2032022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566915322598).

2032022120000 is an abundant number, since it is smaller than the sum of its proper divisors (3101808525196).

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

2032022120000 is an frugal number, since it uses more digits than its factorization.

2032022120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958586 (or 958561 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 2032022120000 its reverse (212202302), we get a palindrome (2032234322302).

The spelling of 2032022120000 in words is "two trillion, thirty-two billion, twenty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 125 160 200 212 250 265 320 400 424 500 530 625 800 848 1000 1060 1250 1325 1600 1696 2000 2120 2500 2650 3392 4000 4240 5000 5300 6625 8000 8480 10000 10600 13250 16960 20000 21200 26500 33125 40000 42400 53000 66250 84800 106000 132500 212000 265000 424000 530000 958501 1060000 1917002 2120000 3834004 4792505 7668008 9585010 15336016 19170020 23962525 30672032 38340040 47925050 50800553 61344064 76680080 95850100 101601106 119812625 153360160 191700200 203202212 239625250 254002765 306720320 383400400 406404424 479250500 508005530 599063125 766800800 812808848 958501000 1016011060 1198126250 1270013825 1533601600 1625617696 1917002000 2032022120 2396252500 2540027650 3251235392 3834004000 4064044240 4792505000 5080055300 6350069125 7668008000 8128088480 9585010000 10160110600 12700138250 16256176960 19170020000 20320221200 25400276500 31750345625 38340040000 40640442400 50800553000 63500691250 81280884800 101601106000 127001382500 203202212000 254002765000 406404424000 508005530000 1016011060000 2032022120000