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233022120201132 = 2232326313732338093
BaseRepresentation
bin110100111110111010110000…
…101100110000101110101100
31010120001200211012122201221020
4310332322300230300232230
5221020313300232414012
62143332514552534140
7100040202236616333
oct6476726054605654
91116050735581836
10233022120201132
1168280142a85639
12221752b86b1350
13a003b78c47622
14417848b9b6d1a
151be1690530a8c
hexd3eeb0b30bac

233022120201132 has 96 divisors (see below), whose sum is σ = 569930501403648. Its totient is φ = 73960471436544.

The previous prime is 233022120201103. The next prime is 233022120201149. The reversal of 233022120201132 is 231102021220332.

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, 98494278 + ... + 100832370.

It is an arithmetic number, because the mean of its divisors is an integer number (5936776056288).

Almost surely, 2233022120201132 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 233022120201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284965250701824).

233022120201132 is an abundant number, since it is smaller than the sum of its proper divisors (336908381202516).

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

233022120201132 is a wasteful number, since it uses less digits than its factorization.

233022120201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339759 (or 2339757 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 233022120201132 its reverse (231102021220332), we get a palindrome (464124141421464).

The spelling of 233022120201132 in words is "two hundred thirty-three trillion, twenty-two billion, one hundred twenty million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 263 276 526 789 1052 1373 1578 2746 3156 4119 5492 6049 8238 12098 16476 18147 24196 31579 36294 63158 72588 94737 126316 189474 361099 378948 722198 1083297 1444396 2166594 2338093 4333188 4676186 7014279 8305277 9352372 14028558 16610554 24915831 28057116 33221108 49831662 53776139 99663324 107552278 161328417 215104556 322656834 614918459 645313668 1229836918 1844755377 2459673836 3210201689 3689510754 6420403378 7379021508 9630605067 12840806756 14143124557 19261210134 28286249114 38522420268 42429373671 56572498228 73834638847 84858747342 147669277694 169717494684 221503916541 295338555388 443007833082 844283044207 886015666164 1688566088414 2532849132621 3377132176828 5065698265242 10131396530484 19418510016761 38837020033522 58255530050283 77674040067044 116511060100566 233022120201132