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1132133033344 = 27103521164821
BaseRepresentation
bin10000011110011000011…
…000110010010110000000
311000020020022000222202211
4100132120120302112000
5122022102024031334
62224032243551504
7144536212001335
oct20363030622600
94006208028684
101132133033344
113a71536455a5
121634b908b594
13829b5055a81
143cb1cd1a98c
151e6b19b9a64
hex10798632580

1132133033344 has 64 divisors (see below), whose sum is σ = 2281703467680. Its totient is φ = 559491379200.

The previous prime is 1132133033329. The next prime is 1132133033363. The reversal of 1132133033344 is 4433303312311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×11321330333443 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6786454 + ... + 6951274.

Almost surely, 21132133033344 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 1132133033344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140851733840).

1132133033344 is an abundant number, since it is smaller than the sum of its proper divisors (1149570434336).

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

1132133033344 is a wasteful number, since it uses less digits than its factorization.

1132133033344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165459 (or 165447 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 1132133033344 its reverse (4433303312311), we get a palindrome (5565436345655).

The spelling of 1132133033344 in words is "one trillion, one hundred thirty-two billion, one hundred thirty-three million, thirty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 521 824 1042 1648 2084 3296 4168 6592 8336 13184 16672 33344 53663 66688 107326 164821 214652 329642 429304 659284 858608 1318568 1717216 2637136 3434432 5274272 6868864 10548544 16976563 21097088 33953126 67906252 85871741 135812504 171743482 271625008 343486964 543250016 686973928 1086500032 1373947856 2173000064 2747895712 5495791424 8844789323 10991582848 17689578646 35379157292 70758314584 141516629168 283033258336 566066516672 1132133033344