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213022301232 = 2431323112313217
BaseRepresentation
bin1100011001100100011…
…1100101110000110000
3202100211220001010111110
43012121013211300300
511442232202114412
6241505555113320
721250614453546
oct3063107456060
9670756033443
10213022301232
1182384598924
12353508a2840
131711b1cb870
14a44b7b3d96
15581b82dd3c
hex31991e5c30

213022301232 has 160 divisors (see below), whose sum is σ = 619003381248. Its totient is φ = 62634958848.

The previous prime is 213022301231. The next prime is 213022301299. The reversal of 213022301232 is 232103220312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213022301199 and 213022301208.

It is not an unprimeable number, because it can be changed into a prime (213022301231) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16110688 + ... + 16123904.

Almost surely, 2213022301232 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 213022301232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309501690624).

213022301232 is an abundant number, since it is smaller than the sum of its proper divisors (405981080016).

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

213022301232 is a wasteful number, since it uses less digits than its factorization.

213022301232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14387 (or 14381 counting only the distinct ones).

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

Adding to 213022301232 its reverse (232103220312), we get a palindrome (445125521544).

The spelling of 213022301232 in words is "two hundred thirteen billion, twenty-two million, three hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1104 1123 1196 1794 2246 2392 3369 3588 4492 4784 6738 7176 8984 13217 13476 14352 14599 17968 25829 26434 26952 29198 39651 43797 51658 52868 53904 58396 77487 79302 87594 103316 105736 116792 154974 158604 171821 175188 206632 211472 233584 303991 309948 317208 335777 343642 350376 413264 515463 607982 619896 634416 671554 687284 700752 911973 1007331 1030926 1215964 1239792 1343108 1374568 1823946 2014662 2061852 2431928 2686216 2749136 3647892 3951883 4029324 4123704 4863856 5372432 7295784 7903766 8058648 8247408 11855649 14591568 14842691 15807532 16117296 23711298 29685382 31615064 44528073 47422596 59370764 63230128 89056146 94845192 118741528 178112292 189690384 192954983 237483056 341381893 356224584 385909966 578864949 682763786 712449168 771819932 1024145679 1157729898 1365527572 1543639864 2048291358 2315459796 2731055144 3087279728 4096582716 4437964609 4630919592 5462110288 8193165432 8875929218 9261839184 13313893827 16386330864 17751858436 26627787654 35503716872 53255575308 71007433744 106511150616 213022301232