Search a number
-
+
1322133223230 = 2325671402915629
BaseRepresentation
bin10011001111010101010…
…001111111011100111110
311200101122201220200121200
4103033111101333130332
5133130212101120410
62451213555240330
7164343456654111
oct23172521773476
94611581820550
101322133223230
1146a793811416
121942a38a90a6
13978a4723031
1447dc4cc8578
15245d20bc3c0
hex133d547f73e

1322133223230 has 96 divisors (see below), whose sum is σ = 3489324976800. Its totient is φ = 347259661056.

The previous prime is 1322133223211. The next prime is 1322133223249. The reversal of 1322133223230 is 323223312231.

1322133223230 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 332 + 2 + 323 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1322133223211) and next prime (1322133223249).

It is a junction number, because it is equal to n+sod(n) for n = 1322133223194 and 1322133223203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84587056 + ... + 84602684.

It is an arithmetic number, because the mean of its divisors is an integer number (36347135175).

Almost surely, 21322133223230 is an apocalyptic number.

1322133223230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322133223230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744662488400).

1322133223230 is an abundant number, since it is smaller than the sum of its proper divisors (2167191753570).

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

1322133223230 is a wasteful number, since it uses less digits than its factorization.

1322133223230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29738 (or 29735 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1322133223230 its reverse (323223312231), we get a palindrome (1645356535461).

The spelling of 1322133223230 in words is "one trillion, three hundred twenty-two billion, one hundred thirty-three million, two hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 2010 3015 6030 14029 15629 28058 31258 42087 46887 70145 78145 84174 93774 126261 140290 140661 156290 210435 234435 252522 281322 420870 468870 631305 703305 939943 1047143 1262610 1406610 1879886 2094286 2819829 3141429 4699715 5235715 5639658 6282858 8459487 9399430 9424287 10471430 14099145 15707145 16918974 18848574 28198290 31414290 42297435 47121435 84594870 94242870 219259241 438518482 657777723 1096296205 1315555446 1973333169 2192592410 3288888615 3946666338 6577777230 9866665845 14690369147 19733331690 29380738294 44071107441 73451845735 88142214882 132213322323 146903691470 220355537205 264426644646 440711074410 661066611615 1322133223230