Search a number
-
+
133031320023020 = 225176771825331663
BaseRepresentation
bin11110001111110111000100…
…100100101110111111101100
3122110000200002102102120202112
4132033313010210232333230
5114414041120411214040
61150533424510143152
740010124060601166
oct3617670444567754
9573020072376675
10133031320023020
113942a2a2040851
1212b0643bab1ab8
13592ca51aa5b93
1424bca70953936
15105a6b375e365
hex78fdc492efec

133031320023020 has 96 divisors (see below), whose sum is σ = 296261564836608. Its totient is φ = 50004083331072.

The previous prime is 133031320022983. The next prime is 133031320023083. The reversal of 133031320023020 is 20320023130331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4201459709 + ... + 4201491371.

It is an arithmetic number, because the mean of its divisors is an integer number (3086057967048).

Almost surely, 2133031320023020 is an apocalyptic number.

133031320023020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133031320023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148130782418304).

133031320023020 is an abundant number, since it is smaller than the sum of its proper divisors (163230244813588).

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

133031320023020 is a wasteful number, since it uses less digits than its factorization.

133031320023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50619 (or 50617 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 133031320023020 its reverse (20320023130331), we get a palindrome (153351343153351).

The spelling of 133031320023020 in words is "one hundred thirty-three trillion, thirty-one billion, three hundred twenty million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 677 1354 2708 3385 6770 11509 13540 18253 23018 31663 36506 46036 57545 63326 73012 91265 115090 126652 158315 182530 230180 310301 316630 365060 538271 620602 633260 1076542 1241204 1551505 2153084 2691355 3103010 5382710 6206020 10765420 12357281 21435851 24714562 42871702 49429124 61786405 85743404 107179255 123572810 210073777 214358510 247145620 364409467 420147554 428717020 577944739 728818934 840295108 1050368885 1155889478 1457637868 1822047335 2100737770 2311778956 2889723695 3644094670 4201475540 5779447390 7288189340 9825060563 11558894780 19650121126 39300242252 49125302815 98250605630 196501211260 391268588303 782537176606 1565074353212 1956342941515 3912685883030 6651566001151 7825371766060 13303132002302 26606264004604 33257830005755 66515660011510 133031320023020