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2133232232130 = 2335431271446779
BaseRepresentation
bin11111000010101110100…
…011001010011011000010
321112221020121210111112000
4133002232203022123002
5234422324422412010
64311554322044430
7310056324535506
oct37025643123302
97487217714460
102133232232130
11752775a8883a
122a55271a9716
13126216c8169c
147536b334306
153a7549a97c0
hex1f0ae8ca6c2

2133232232130 has 128 divisors (see below), whose sum is σ = 5866750771200. Its totient is φ = 551257140672.

The previous prime is 2133232232093. The next prime is 2133232232189. The reversal of 2133232232130 is 312322323312.

2133232232130 is a `hidden beast` number, since 2 + 1 + 332 + 3 + 2 + 2 + 321 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2133232232094 and 2133232232103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 751081 + ... + 2197859.

It is an arithmetic number, because the mean of its divisors is an integer number (45833990400).

Almost surely, 22133232232130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133232232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2933375385600).

2133232232130 is an abundant number, since it is smaller than the sum of its proper divisors (3733518539070).

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

2133232232130 is a wasteful number, since it uses less digits than its factorization.

2133232232130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446965 (or 1446959 counting only the distinct ones).

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

Adding to 2133232232130 its reverse (312322323312), we get a palindrome (2445554555442).

The spelling of 2133232232130 in words is "two trillion, one hundred thirty-three billion, two hundred thirty-two million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 127 129 135 215 254 258 270 381 387 430 635 645 762 774 1143 1161 1270 1290 1905 1935 2286 2322 3429 3810 3870 5461 5715 5805 6858 10922 11430 11610 16383 17145 27305 32766 34290 49149 54610 81915 98298 147447 163830 245745 294894 491490 737235 1446779 1474470 2893558 4340337 7233895 8680674 13021011 14467790 21701685 26042022 39063033 43403370 62211497 65105055 78126066 124422994 130210110 183740933 186634491 195315165 311057485 367481866 373268982 390630330 551222799 559903473 622114970 918704665 933172455 1102445598 1119806946 1653668397 1679710419 1837409330 1866344910 2756113995 2799517365 3307336794 3359420838 4961005191 5512227990 5599034730 7900860119 8268341985 8398552095 9922010382 15801720238 16536683970 16797104190 23702580357 24805025955 39504300595 47405160714 49610051910 71107741071 79008601190 118512901785 142215482142 213323223213 237025803570 355538705355 426646446426 711077410710 1066616116065 2133232232130