Search a number
-
+
20202232233231 = 336170182121313
BaseRepresentation
bin1001001011111101100101…
…11000000011110100001111
32122112022111022002101111000
410211332302320003310033
510121443132422430411
6110544435524431343
74153364101444326
oct445766270036417
978468438071430
1020202232233231
11648979a474094
1223233b2848553
13b370a6c0bb79
144dbb169ab0bd
1525078e292956
hex125fb2e03d0f

20202232233231 has 64 divisors (see below), whose sum is σ = 30501807223680. Its totient is φ = 13211735040000.

The previous prime is 20202232233191. The next prime is 20202232233233. The reversal of 20202232233231 is 13233223220202.

20202232233231 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 2 + 2 + 322 + 332 + 3 + 1 = 666.

It is not a de Polignac number, because 20202232233231 - 27 = 20202232233103 is a prime.

It is a super-2 number, since 2×202022322332312 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20202232233195 and 20202232233204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202232233233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 947872431 + ... + 947893743.

It is an arithmetic number, because the mean of its divisors is an integer number (476590737870).

Almost surely, 220202232233231 is an apocalyptic number.

20202232233231 is a deficient number, since it is larger than the sum of its proper divisors (10299574990449).

20202232233231 is a wasteful number, since it uses less digits than its factorization.

20202232233231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22905 (or 22899 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 20202232233231 its reverse (13233223220202), we get a palindrome (33435455453433).

The spelling of 20202232233231 in words is "twenty trillion, two hundred two billion, two hundred thirty-two million, two hundred thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 9 27 61 183 549 701 821 1647 2103 2463 6309 7389 18927 21313 22167 42761 50081 63939 128283 150243 191817 384849 450729 575451 575521 1154547 1300093 1352187 1726563 3900279 5179689 11700837 14940413 15539067 17497973 35102511 35106781 44821239 52493919 105320343 134463717 157481757 315961029 403391151 472445271 911365193 947883087 1067376353 2734095579 3202129059 8202286737 9606387177 12266079073 24606860211 28819161531 36798237219 110394711657 331184134971 748230823453 2244692470359 6734077411077 20202232233231