Search a number
-
+
133442401012300 = 225227714593301861
BaseRepresentation
bin11110010101110101111010…
…111010010000101001001100
3122111110222011100211112101201
4132111311322322100221030
5114442310014124343200
61151450332010315244
740051616044421332
oct3625657272205114
9574428140745351
10133442401012300
1139578671598426
1212b72046128b24
13595c7450572c3
1424d490a669b52
151066222d93c6a
hex795d7ae90a4c

133442401012300 has 72 divisors (see below), whose sum is σ = 290814665437520. Its totient is φ = 53147795155200.

The previous prime is 133442401012267. The next prime is 133442401012313. The reversal of 133442401012300 is 3210104244331.

It is a happy 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, 38763370 + ... + 42065230.

Almost surely, 2133442401012300 is an apocalyptic number.

133442401012300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133442401012300 is an abundant number, since it is smaller than the sum of its proper divisors (157372264425220).

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

133442401012300 is a wasteful number, since it uses less digits than its factorization.

133442401012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303611 (or 3303604 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 133442401012300 its reverse (3210104244331), we get a palindrome (136652505256631).

The spelling of 133442401012300 in words is "one hundred thirty-three trillion, four hundred forty-two billion, four hundred one million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 277 554 1108 1385 1459 2770 2918 5540 5836 6925 7295 13850 14590 27700 29180 36475 72950 145900 404143 808286 1616572 2020715 3301861 4041430 6603722 8082860 10103575 13207444 16509305 20207150 33018610 40414300 66037220 82546525 165093050 330186100 914615497 1829230994 3658461988 4573077485 4817415199 9146154970 9634830398 18292309940 19269660796 22865387425 24087075995 45730774850 48174151990 91461549700 96348303980 120435379975 240870759950 481741519900 1334424010123 2668848020246 5337696040492 6672120050615 13344240101230 26688480202460 33360600253075 66721200506150 133442401012300