Search a number
-
+
331000212201030 = 23256761904160167
BaseRepresentation
bin100101101000010101111111…
…0000100011001111001000110
31121101222022101220100200220200
41023100223332010121321012
5321341101413310413110
63131551222010111330
7126501655552460241
oct11320537604317106
91541868356320820
10331000212201030
11965154466a2219
123115a08541b546
1311290255a79528
145ba46d24a6258
15284011d8186c0
hex12d0afe119e46

331000212201030 has 96 divisors (see below), whose sum is σ = 860837350621248. Its totient is φ = 88242439833600.

The previous prime is 331000212200971. The next prime is 331000212201031. The reversal of 331000212201030 is 30102212000133.

331000212201030 is a `hidden beast` number, since 331 + 0 + 0 + 0 + 212 + 20 + 103 + 0 = 666.

It is a super-2 number, since 2×3310002122010302 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331000212200994 and 331000212201012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331000212201031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5501328007 + ... + 5501388173.

It is an arithmetic number, because the mean of its divisors is an integer number (8967055735638).

Almost surely, 2331000212201030 is an apocalyptic number.

331000212201030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331000212201030 is an abundant number, since it is smaller than the sum of its proper divisors (529837138420218).

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

331000212201030 is a wasteful number, since it uses less digits than its factorization.

331000212201030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75982 (or 75979 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331000212201030 its reverse (30102212000133), we get a palindrome (361102424201163).

The spelling of 331000212201030 in words is "three hundred thirty-one trillion, two hundred twelve million, two hundred one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 6761 9041 13522 18082 20283 27123 33805 40566 45205 54246 60167 60849 67610 81369 90410 101415 120334 121698 135615 162738 180501 202830 271230 300835 304245 361002 406845 541503 601670 608490 813690 902505 1083006 1805010 2707515 5415030 61126201 122252402 183378603 305631005 366757206 406789087 543969847 550135809 611262010 813578174 916893015 1087939694 1100271618 1220367261 1631909541 1833786030 2033945435 2440734522 2719849235 2750679045 3263819082 3661101783 4067890870 4895728623 5439698470 5501358090 6101836305 7322203566 8159547705 9791457246 12203672610 16319095410 18305508915 24478643115 36611017830 48957286230 3677780135567 7355560271134 11033340406701 18388900677835 22066680813402 33100021220103 36777801355670 55166702033505 66200042440206 110333404067010 165500106100515 331000212201030