Search a number
-
+
213112211331132 = 223337313170387809
BaseRepresentation
bin110000011101001100001101…
…101001110101100000111100
31000221120022212102112211021000
4300131030031221311200330
5210413112302100044012
62033130222012210300
762613564156551211
oct6035141551654074
91027508772484230
10213112211331132
11619a4421521a43
121ba9a6a8469990
1391bb51a612249
143a8a9867b9b08
15199880ea27ddc
hexc1d30da7583c

213112211331132 has 96 divisors (see below), whose sum is σ = 569258857697600. Its totient is φ = 68896650940416.

The previous prime is 213112211331053. The next prime is 213112211331157. The reversal of 213112211331132 is 231133112211312.

213112211331132 is a `hidden beast` number, since 2 + 1 + 3 + 112 + 211 + 331 + 1 + 3 + 2 = 666.

It is a super-3 number, since 3×2131122113311323 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213112211331096 and 213112211331105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83943157 + ... + 86444652.

Almost surely, 2213112211331132 is an apocalyptic number.

It is an amenable number.

213112211331132 is an abundant number, since it is smaller than the sum of its proper divisors (356146646366468).

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

213112211331132 is a wasteful number, since it uses less digits than its factorization.

213112211331132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170388172 (or 170388164 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 213112211331132 its reverse (231133112211312), we get a palindrome (444245323542444).

The spelling of 213112211331132 in words is "two hundred thirteen trillion, one hundred twelve billion, two hundred eleven million, three hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 313 333 444 626 666 939 999 1252 1332 1878 1998 2817 3756 3996 5634 8451 11268 11581 16902 23162 33804 34743 46324 69486 104229 138972 208458 312687 416916 625374 1250748 170387809 340775618 511163427 681551236 1022326854 1533490281 2044653708 3066980562 4600470843 6133961124 6304348933 9200941686 12608697866 18401883372 18913046799 25217395732 37826093598 53331384217 56739140397 75652187196 106662768434 113478280794 159994152651 170217421191 213325536868 226956561588 319988305302 340434842382 479982457953 639976610604 680869684764 959964915906 1439947373859 1919929831812 1973261216029 2879894747718 3946522432058 5759789495436 5919783648087 7893044864116 11839567296174 17759350944261 23679134592348 35518701888522 53278052832783 71037403777044 106556105665566 213112211331132