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1033132231104 = 26347129188681
BaseRepresentation
bin11110000100010110111…
…10101100100111000000
310122202200202120011011120
433002023132230213000
5113411323322343404
62110340413112240
7134432660033001
oct17021336544700
93582622504146
101033132231104
11369170235576
12148289a88680
137656856230c
143800a8791a8
151bd1a3539d9
hexf08b7ac9c0

1033132231104 has 112 divisors (see below), whose sum is σ = 2793849079296. Its totient is φ = 336785356800.

The previous prime is 1033132231093. The next prime is 1033132231139. The reversal of 1033132231104 is 4011322313301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 11605644 + ... + 11694324.

Almost surely, 21033132231104 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 1033132231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396924539648).

1033132231104 is an abundant number, since it is smaller than the sum of its proper divisors (1760716848192).

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

1033132231104 is a wasteful number, since it uses less digits than its factorization.

1033132231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90034 (or 90024 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1033132231104 its reverse (4011322313301), we get a palindrome (5044454544405).

The spelling of 1033132231104 in words is "one trillion, thirty-three billion, one hundred thirty-two million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1291 1504 2256 2582 3008 3873 4512 5164 7746 9024 10328 15492 20656 30984 41312 60677 61968 82624 88681 121354 123936 177362 182031 242708 247872 266043 354724 364062 485416 532086 709448 728124 970832 1064172 1418896 1456248 1941664 2128344 2837792 2912496 3883328 4168007 4256688 5675584 5824992 8336014 8513376 11649984 12504021 16672028 17026752 25008042 33344056 50016084 66688112 100032168 114487171 133376224 200064336 228974342 266752448 343461513 400128672 457948684 686923026 800257344 915897368 1373846052 1831794736 2747692104 3663589472 5380897037 5495384208 7327178944 10761794074 10990768416 16142691111 21523588148 21981536832 32285382222 43047176296 64570764444 86094352592 129141528888 172188705184 258283057776 344377410368 516566115552 1033132231104