Search a number
-
+
20233331201232 = 2432718951221093
BaseRepresentation
bin1001001100110111100001…
…00001001101010011010000
32122122021202122021122112200
410212123300201031103100
510123000330241414412
6111011021455323200
74155544544350452
oct446336041152320
978567678248480
1020233331201232
1164a09a8a88036
122329431820500
13b39cc1b82c96
144dd426d662d2
152514ae5eb9dc
hex1266f084d4d0

20233331201232 has 120 divisors (see below), whose sum is σ = 57429438887808. Its totient is φ = 6648678624000.

The previous prime is 20233331201231. The next prime is 20233331201261. The reversal of 20233331201232 is 23210213333202.

20233331201232 is a `hidden beast` number, since 2 + 0 + 2 + 333 + 312 + 0 + 12 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20233331201196 and 20233331201205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20233331201231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91404478 + ... + 91625570.

Almost surely, 220233331201232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20233331201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28714719443904).

20233331201232 is an abundant number, since it is smaller than the sum of its proper divisors (37196107686576).

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

20233331201232 is a wasteful number, since it uses less digits than its factorization.

20233331201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230129 (or 230120 counting only the distinct ones).

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

Adding to 20233331201232 its reverse (23210213333202), we get a palindrome (43443544534434).

The spelling of 20233331201232 in words is "twenty trillion, two hundred thirty-three billion, three hundred thirty-one million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 8951 10224 17902 26853 35804 53706 71608 80559 107412 143216 161118 214824 221093 322236 429648 442186 635521 644472 663279 884372 1271042 1288944 1326558 1768744 1906563 1989837 2542084 2653116 3537488 3813126 3979674 5084168 5306232 5719689 7626252 7959348 10168336 10612464 11439378 15252504 15697603 15918696 22878756 30505008 31395206 31837392 45757512 47092809 62790412 91515024 94185618 125580824 141278427 188371236 251161648 282556854 376742472 565113708 753484944 1130227416 1979003443 2260454832 3958006886 5937010329 7916013772 11874020658 15832027544 17811030987 23748041316 31664055088 35622061974 47496082632 71244123948 94992165264 140509244453 142488247896 281018488906 284976495792 421527733359 562036977812 843055466718 1124073955624 1264583200077 1686110933436 2248147911248 2529166400154 3372221866872 5058332800308 6744443733744 10116665600616 20233331201232