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213130100022 = 237443973547
BaseRepresentation
bin1100011001111110001…
…0110011110100110110
3202101010101212212122020
43012133202303310312
511442442301200042
6241524405414010
721253363650000
oct3063742636466
9671111785566
10213130100022
118242a426734
1235380a0a306
1317137643028
14a45bc35370
1558260243ec
hex319f8b3d36

213130100022 has 160 divisors (see below), whose sum is σ = 514229181312. Its totient is φ = 58848394752.

The previous prime is 213130100021. The next prime is 213130100039. The reversal of 213130100022 is 220001031312.

It is a junction number, because it is equal to n+sod(n) for n = 213130099974 and 213130100010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213130100021) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60085653 + ... + 60089199.

Almost surely, 2213130100022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213130100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257114590656).

213130100022 is an abundant number, since it is smaller than the sum of its proper divisors (301099081290).

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

213130100022 is an equidigital number, since it uses as much as digits as its factorization.

213130100022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 213130100022 its reverse (220001031312), we get a palindrome (433131131334).

The spelling of 213130100022 in words is "two hundred thirteen billion, one hundred thirty million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 97 98 129 147 194 258 291 294 301 343 582 602 679 686 903 1029 1358 1806 2037 2058 2107 2401 3547 4074 4171 4214 4753 4802 6321 7094 7203 8342 9506 10641 12513 12642 14259 14406 14749 21282 24829 25026 28518 29197 29498 33271 44247 49658 58394 66542 74487 87591 88494 99813 103243 148974 152521 173803 175182 199626 204379 206486 232897 305042 309729 344059 347606 408758 457563 465794 521409 613137 619458 688118 698691 915126 1032177 1042818 1067647 1216621 1226274 1397382 1430653 2064354 2135294 2408413 2433242 2861306 3202941 3649863 4291959 4816826 6405882 7225239 7299726 7473529 8516347 8583918 10014571 14450478 14794537 14947058 16858891 17032694 20029142 22420587 25549041 29589074 30043713 33717782 44383611 44841174 50576673 51098082 52314703 60087426 88767222 101153346 103561759 104629406 118012237 156944109 207123518 236024474 310685277 313888218 354036711 366202921 621370554 708073422 724932313 732405842 826085659 1098608763 1449864626 1652171318 2174796939 2197217526 2478256977 4349593878 4956513954 5074526191 10149052382 15223578573 30447157146 35521683337 71043366674 106565050011 213130100022