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133011133401224 = 23131737619714577
BaseRepresentation
bin11110001111100100010001…
…010110111000100010001000
3122102221201222120201221112102
4132033210101112320202020
5114413223300122314344
61150520245432532532
740005510611256341
oct3617442126704210
9572851876657472
10133011133401224
1139421783237041
1212b02547551148
13592ab85849360
1424bbab796d0c8
151059dd142ce4e
hex78f9115b8888

133011133401224 has 64 divisors (see below), whose sum is σ = 270487658251440. Its totient is φ = 60954689986560.

The previous prime is 133011133401191. The next prime is 133011133401229. The reversal of 133011133401224 is 422104331110331.

It can be written as a sum of positive squares in 8 ways, for example, as 40668297208900 + 92342836192324 = 6377170^2 + 9609518^2 .

It is not an unprimeable number, because it can be changed into a prime (133011133401229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8834624 + ... + 18549200.

Almost surely, 2133011133401224 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 133011133401224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135243829125720).

133011133401224 is an abundant number, since it is smaller than the sum of its proper divisors (137476524850216).

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

133011133401224 is a wasteful number, since it uses less digits than its factorization.

133011133401224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9715530 (or 9715526 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 133011133401224 its reverse (422104331110331), we get a palindrome (555115464511555).

The spelling of 133011133401224 in words is "one hundred thirty-three trillion, eleven billion, one hundred thirty-three million, four hundred one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 173 346 692 761 1384 1522 2249 3044 4498 6088 8996 9893 17992 19786 39572 79144 131653 263306 526612 1053224 1711489 3422978 6845956 9714577 13691912 19429154 38858308 77716616 126289501 252579002 505158004 1010316008 1680621821 3361243642 6722487284 7392793097 13444974568 14785586194 21848083673 29571172388 43696167346 59142344776 87392334692 96106310261 174784669384 192212620522 384425241044 768850482088 1278953205781 2557906411562 5115812823124 10231625646248 16626391675153 33252783350306 66505566700612 133011133401224