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133020122020 = 22517419542333
BaseRepresentation
bin111101111100010011…
…1011111101110100100
3110201100101211100011221
41323320213133232210
54134411122401040
6141035242510124
712416235244552
oct1737047375644
9421311740157
10133020122020
1151460433545
1221944205344
13c70b7b2b96
14661c62cbd2
1536d807e74a
hex1ef89dfba4

133020122020 has 48 divisors (see below), whose sum is σ = 302988189168. Its totient is φ = 48856739840.

The previous prime is 133020122017. The next prime is 133020122099. The reversal of 133020122020 is 20221020331.

It can be written as a sum of positive squares in 8 ways, for example, as 275029056 + 132745092964 = 16584^2 + 364342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 133020121985 and 133020122003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4757227 + ... + 4785106.

It is an arithmetic number, because the mean of its divisors is an integer number (6312253941).

Almost surely, 2133020122020 is an apocalyptic number.

133020122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133020122020 is an abundant number, since it is smaller than the sum of its proper divisors (169968067148).

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

133020122020 is a wasteful number, since it uses less digits than its factorization.

133020122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9542400 (or 9542398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 133020122020 its reverse (20221020331), we get a palindrome (153241142351).

The spelling of 133020122020 in words is "one hundred thirty-three billion, twenty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 13940 9542333 19084666 38169332 47711665 95423330 162219661 190846660 324439322 391235653 648878644 782471306 811098305 1564942612 1622196610 1956178265 3244393220 3912356530 6651006101 7824713060 13302012202 26604024404 33255030505 66510061010 133020122020