Search a number
-
+
1321020010332 = 2232114181363637
BaseRepresentation
bin10011001110010010111…
…011011010111101011100
311200021210011012121121100
4103032102323122331130
5133120422110312312
62450511311233100
7164304051550341
oct23162273327534
94607704177540
101321020010332
1146a2723a2060
12194032b18790
1397757bc7289
1447d1b10a7c8
15245694c65dc
hex13392edaf5c

1321020010332 has 72 divisors (see below), whose sum is σ = 3731661893232. Its totient is φ = 390545452800.

The previous prime is 1321020010319. The next prime is 1321020010367. The reversal of 1321020010332 is 2330100201231.

1321020010332 is a `hidden beast` number, since 1 + 321 + 0 + 2 + 0 + 0 + 10 + 332 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40665583 + ... + 40698054.

It is an arithmetic number, because the mean of its divisors is an integer number (51828637406).

Almost surely, 21321020010332 is an apocalyptic number.

1321020010332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1321020010332 is an abundant number, since it is smaller than the sum of its proper divisors (2410641882900).

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

1321020010332 is a wasteful number, since it uses less digits than its factorization.

1321020010332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81363699 (or 81363694 counting only the distinct ones).

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

Adding to 1321020010332 its reverse (2330100201231), we get a palindrome (3651120211563).

The spelling of 1321020010332 in words is "one trillion, three hundred twenty-one billion, twenty million, ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 4059 5412 8118 16236 81363637 162727274 244090911 325454548 488181822 732272733 895000007 976363644 1464545466 1790000014 2685000021 2929090932 3335909117 3580000028 5370000042 6671818234 8055000063 10007727351 10740000084 13343636468 16110000126 20015454702 30023182053 32220000252 36695000287 40030909404 60046364106 73390000574 110085000861 120092728212 146780001148 220170001722 330255002583 440340003444 660510005166 1321020010332