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133202121320 = 2354729704177
BaseRepresentation
bin111110000001101110…
…1110001001001101000
3110201211002021212021202
41330003131301021220
54140244220340240
6141105303423332
712423605231012
oct1740335611150
9421732255252
10133202121320
1151544141294
1221995154b48
13c73a406a88
1466388871b2
1536e9030315
hex1f03771268

133202121320 has 32 divisors (see below), whose sum is σ = 299768574600. Its totient is φ = 53269506048.

The previous prime is 133202121319. The next prime is 133202121323. The reversal of 133202121320 is 23121202331.

It can be written as a sum of positive squares in 4 ways, for example, as 111971882884 + 21230238436 = 334622^2 + 145706^2 .

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 = 133202121292 and 133202121301.

It is not an unprimeable number, because it can be changed into a prime (133202121323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162929 + ... + 541248.

Almost surely, 2133202121320 is an apocalyptic number.

133202121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133202121320 is an abundant number, since it is smaller than the sum of its proper divisors (166566453280).

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

133202121320 is a wasteful number, since it uses less digits than its factorization.

133202121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708917 (or 708913 counting only the distinct ones).

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

Adding to 133202121320 its reverse (23121202331), we get a palindrome (156323323651).

The spelling of 133202121320 in words is "one hundred thirty-three billion, two hundred two million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 4729 9458 18916 23645 37832 47290 94580 189160 704177 1408354 2816708 3520885 5633416 7041770 14083540 28167080 3330053033 6660106066 13320212132 16650265165 26640424264 33300530330 66601060660 133202121320