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1133312010312 = 233471033972613
BaseRepresentation
bin10000011111011110101…
…010001110100001001000
311000100021110111020010110
4100133132222032201020
5122032010333312222
62224345241314320
7144610346100066
oct20373652164110
94010243436113
101133312010312
113a76a90a2429
12163787a959a0
1382b42399291
143cbd1737036
151e73025130c
hex107dea8e848

1133312010312 has 64 divisors (see below), whose sum is σ = 2896366682880. Its totient is φ = 369374694912.

The previous prime is 1133312010301. The next prime is 1133312010367. The reversal of 1133312010312 is 2130102133311.

It is a happy number.

It is a super-2 number, since 2×11333120103122 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678918 + ... + 1651530.

It is an arithmetic number, because the mean of its divisors is an integer number (45255729420).

Almost surely, 21133312010312 is an apocalyptic number.

1133312010312 is a gapful number since it is divisible by the number (12) 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 1133312010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448183341440).

1133312010312 is an abundant number, since it is smaller than the sum of its proper divisors (1763054672568).

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

1133312010312 is a wasteful number, since it uses less digits than its factorization.

1133312010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973702 (or 973698 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1133312010312 its reverse (2130102133311), we get a palindrome (3263414143623).

The spelling of 1133312010312 in words is "one trillion, one hundred thirty-three billion, three hundred twelve million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1033 1128 2066 3099 4132 6198 8264 12396 24792 48551 97102 145653 194204 291306 388408 582612 972613 1165224 1945226 2917839 3890452 5835678 7780904 11671356 23342712 45712811 91425622 137138433 182851244 274276866 365702488 548553732 1004709229 1097107464 2009418458 3014127687 4018836916 6028255374 8037673832 12056510748 24113021496 47221333763 94442667526 141664001289 188885335052 283328002578 377770670104 566656005156 1133312010312