Search a number
-
+
133010222010320 = 2451662627775129
BaseRepresentation
bin11110001111100011011011…
…000010001100111111010000
3122102221122122001210111020202
4132033203123002030333100
5114413214413313312240
61150520015154354332
740005446203466114
oct3617433302147720
9572848561714222
10133010222010320
1139421355834616
1212b0233228b9a8
13592aa6ba94cb5
1424bba2c8c9744
151059d7b401315
hex78f8db08cfd0

133010222010320 has 20 divisors (see below), whose sum is σ = 309248766174180. Its totient is φ = 53204088804096.

The previous prime is 133010222010247. The next prime is 133010222010329. The reversal of 133010222010320 is 23010222010331.

It can be written as a sum of positive squares in 2 ways, for example, as 55680429172624 + 77329792837696 = 7461932^2 + 8793736^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1330102220103202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133010222010292 and 133010222010301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133010222010329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 831313887485 + ... + 831313887644.

It is an arithmetic number, because the mean of its divisors is an integer number (15462438308709).

Almost surely, 2133010222010320 is an apocalyptic number.

133010222010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133010222010320 is an abundant number, since it is smaller than the sum of its proper divisors (176238544163860).

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

133010222010320 is a wasteful number, since it uses less digits than its factorization.

133010222010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662627775142 (or 1662627775136 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 133010222010320 its reverse (23010222010331), we get a palindrome (156020444020651).

The spelling of 133010222010320 in words is "one hundred thirty-three trillion, ten billion, two hundred twenty-two million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1662627775129 3325255550258 6650511100516 8313138875645 13301022201032 16626277751290 26602044402064 33252555502580 66505111005160 133010222010320