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1332333201232 = 241121734618629
BaseRepresentation
bin10011011000110101001…
…111110100011101010000
311201100222120222020222201
4103120311033310131100
5133312104244414412
62500022044212544
7165154313232235
oct23306517643520
94640876866881
101332333201232
114740483a3900
1219626b83a154
139883b98a787
14486b182578c
15249cc7cce57
hex136353f4750

1332333201232 has 120 divisors (see below), whose sum is σ = 2860324818120. Its totient is φ = 600729676800.

The previous prime is 1332333201223. The next prime is 1332333201259. The reversal of 1332333201232 is 2321023332331.

It can be written as a sum of positive squares in 4 ways, for example, as 531301041216 + 801032160016 = 728904^2 + 895004^2 .

It is a super-2 number, since 2×13323332012322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1332333201232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154397494 + ... + 154406122.

It is an arithmetic number, because the mean of its divisors is an integer number (23836040151).

Almost surely, 21332333201232 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 1332333201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430162409060).

1332333201232 is an abundant number, since it is smaller than the sum of its proper divisors (1527991616888).

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

1332333201232 is a wasteful number, since it uses less digits than its factorization.

1332333201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9293 (or 9276 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 1332333201232 its reverse (2321023332331), we get a palindrome (3653356533563).

The spelling of 1332333201232 in words is "one trillion, three hundred thirty-two billion, three hundred thirty-three million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 173 176 242 346 461 484 692 922 968 1384 1844 1903 1936 2768 3688 3806 5071 7376 7612 8629 10142 15224 17258 20284 20933 30448 34516 40568 41866 55781 69032 79753 81136 83732 94919 111562 138064 159506 167464 189838 223124 319012 334928 379676 446248 638024 759352 877283 892496 1044109 1276048 1492817 1518704 1754566 2088218 2985634 3509132 3977969 4176436 5971268 7018264 7955938 8352872 9650113 11942536 14036528 15911876 16420987 16705744 19300226 23885072 31823752 32841974 38600452 43757659 63647504 65683948 77200904 87515318 131367896 154401808 175030636 180630857 262735792 350061272 361261714 481334249 688188637 700122544 722523428 962668498 1376377274 1445046856 1925336996 2752754548 2890093712 3850673992 5505509096 7570075007 7701347984 11011018192 15140150014 30280300028 60560600056 83270825077 121121200112 166541650154 333083300308 666166600616 1332333201232