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1012011330112 = 2697293556373
BaseRepresentation
bin11101011101000001001…
…00110110101001000000
310120202011210212012211021
432232200210312221000
5113040044400030422
62052524522555224
7133054404242116
oct16564044665100
93522153765737
101012011330112
11360212015aa2
12144174668b14
1374580899473
1436da5773ab6
151b4d0ec3dc7
hexeba0936a40

1012011330112 has 56 divisors (see below), whose sum is σ = 2035841456376. Its totient is φ = 499079036928.

The previous prime is 1012011330103. The next prime is 1012011330137. The reversal of 1012011330112 is 2110331102101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 395308957696 + 616702372416 = 628736^2 + 785304^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1540758 + ... + 2097130.

It is an arithmetic number, because the mean of its divisors is an integer number (36354311721).

Almost surely, 21012011330112 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 1012011330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017920728188).

1012011330112 is an abundant number, since it is smaller than the sum of its proper divisors (1023830126264).

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

1012011330112 is an equidigital number, since it uses as much as digits as its factorization.

1012011330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556775 (or 556765 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1012011330112 its reverse (2110331102101), we get a palindrome (3122342432213).

The spelling of 1012011330112 in words is "one trillion, twelve billion, eleven million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 97 194 293 388 586 776 1172 1552 2344 3104 4688 6208 9376 18752 28421 56842 113684 227368 454736 556373 909472 1112746 1818944 2225492 4450984 8901968 17803936 35607872 53968181 107936362 163017289 215872724 326034578 431745448 652069156 863490896 1304138312 1726981792 2608276624 3453963584 5216553248 10433106496 15812677033 31625354066 63250708132 126501416264 253002832528 506005665056 1012011330112