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133122131021 = 1123137959183
BaseRepresentation
bin111101111111010110…
…0101000010001001101
3110201121111202221020002
41323332230220101031
54140113231143041
6141053325134045
712421614305105
oct1737654502115
9421544687202
10133122131021
1151502a77400
12219723ba325
13c72697ac39
14662bdc4205
1536e1ece59b
hex1efeb2844d

133122131021 has 24 divisors (see below), whose sum is σ = 155126909952. Its totient is φ = 113950821600.

The previous prime is 133122131017. The next prime is 133122131039. The reversal of 133122131021 is 120131221331.

It is a happy number.

It is not a de Polignac number, because 133122131021 - 22 = 133122131017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133122130984 and 133122131002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133122131041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340805 + ... + 618378.

It is an arithmetic number, because the mean of its divisors is an integer number (6463621248).

Almost surely, 2133122131021 is an apocalyptic number.

133122131021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133122131021 is a deficient number, since it is larger than the sum of its proper divisors (22004778931).

133122131021 is a wasteful number, since it uses less digits than its factorization.

133122131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959273 (or 959262 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 133122131021 its reverse (120131221331), we get a palindrome (253253352352).

It can be divided in two parts, 1331221310 and 21, that added together give a palindrome (1331221331).

The spelling of 133122131021 in words is "one hundred thirty-three billion, one hundred twenty-two million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 11 31 37 121 341 407 1147 3751 4477 12617 138787 959183 10551013 29734673 35489771 116061143 327081403 390387481 1100182901 3597895433 4294262291 12102011911 133122131021