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1033120220232 = 233415373271367
BaseRepresentation
bin11110000100010101100…
…00111000010001001000
310122202122220221221100110
433002022300320101020
5113411312234021412
62110335303434320
7134432452656612
oct17021260702110
93582586857313
101033120220232
11369164481631
12148285a559a0
1376565c183a9
143800902ddb2
151bd1927ed3c
hexf08ac38448

1033120220232 has 128 divisors (see below), whose sum is σ = 2732654050560. Its totient is φ = 325118177280.

The previous prime is 1033120220221. The next prime is 1033120220243. The reversal of 1033120220232 is 2320220213301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1033120220221) and next prime (1033120220243).

It is a junction number, because it is equal to n+sod(n) for n = 1033120220199 and 1033120220208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3671413 + ... + 3942779.

It is an arithmetic number, because the mean of its divisors is an integer number (21348859770).

Almost surely, 21033120220232 is an apocalyptic number.

1033120220232 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 1033120220232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366327025280).

1033120220232 is an abundant number, since it is smaller than the sum of its proper divisors (1699533830328).

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

1033120220232 is a wasteful number, since it uses less digits than its factorization.

1033120220232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271543 (or 271539 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1033120220232 its reverse (2320220213301), we get a palindrome (3353340433533).

The spelling of 1033120220232 in words is "one trillion, thirty-three billion, one hundred twenty million, two hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 53 73 82 106 123 146 159 164 212 219 246 292 318 328 424 438 492 584 636 876 984 1272 1752 2173 2993 3869 4346 5986 6519 7738 8692 8979 11607 11972 13038 15476 17384 17958 23214 23944 26076 30952 35916 46428 52152 71832 92856 158629 271367 317258 475887 542734 634516 814101 951774 1085468 1269032 1628202 1903548 2170936 3256404 3807096 6512808 11126047 14382451 19809791 22252094 28764902 33378141 39619582 43147353 44504188 57529804 59429373 66756282 79239164 86294706 89008376 115059608 118858746 133512564 158478328 172589412 237717492 267025128 345178824 475434984 589680491 812201431 1049918923 1179360982 1624402862 1769041473 2099837846 2358721964 2436604293 3149756769 3248805724 3538082946 4199675692 4717443928 4873208586 6299513538 6497611448 7076165892 8399351384 9746417172 12599027076 14152331784 19492834344 25198054152 43046675843 86093351686 129140027529 172186703372 258280055058 344373406744 516560110116 1033120220232