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133431310220 = 225132131301349
BaseRepresentation
bin111110001000100100…
…0000011011110001100
3110202102001112212100112
41330101020003132030
54141231403411340
6141144132015152
712432360265145
oct1742110033614
9422361485315
10133431310220
11516515502aa
1221a39a614b8
13c775a40b00
14665b0a6acc
15370e203065
hex1f1120378c

133431310220 has 72 divisors (see below), whose sum is σ = 305735245200. Its totient is φ = 48890699520.

The previous prime is 133431310219. The next prime is 133431310267. The reversal of 133431310220 is 22013134331.

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, 292106 + ... + 593454.

It is an arithmetic number, because the mean of its divisors is an integer number (4246322850).

Almost surely, 2133431310220 is an apocalyptic number.

133431310220 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 133431310220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152867622600).

133431310220 is an abundant number, since it is smaller than the sum of its proper divisors (172303934980).

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

133431310220 is a wasteful number, since it uses less digits than its factorization.

133431310220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301515 (or 301500 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 133431310220 its reverse (22013134331), we get a palindrome (155444444551).

The spelling of 133431310220 in words is "one hundred thirty-three billion, four hundred thirty-one million, three hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 131 169 260 262 338 524 655 676 845 1310 1690 1703 2620 3380 3406 6812 8515 17030 22139 34060 44278 88556 110695 221390 301349 442780 602698 1205396 1506745 3013490 3917537 6026980 7835074 15670148 19587685 39175370 39476719 50927981 78350740 78953438 101855962 157906876 197383595 203711924 254639905 394767190 509279810 513197347 789534380 1018559620 1026394694 2052789388 2565986735 5131973470 6671565511 10263946940 13343131022 26686262044 33357827555 66715655110 133431310220