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133422241024 = 2810710874481
BaseRepresentation
bin111110001000010010…
…1011101010100000000
3110202101102111002202101
41330100211131110000
54141222043203044
6141143205400144
712432220223302
oct1742045352400
9422342432671
10133422241024
11516474164a6
1221a36a09054
13c773bb6b17
146659bc5972
15370d510cd4
hex1f1095d500

133422241024 has 72 divisors (see below), whose sum is σ = 269119646208. Its totient is φ = 66012119040.

The previous prime is 133422241021. The next prime is 133422241079. The reversal of 133422241024 is 420142224331.

It is a super-3 number, since 3×1334222410243 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133422240983 and 133422241001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133422241021) 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, 29772864 + ... + 29777344.

It is an arithmetic number, because the mean of its divisors is an integer number (3737772864).

Almost surely, 2133422241024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133422241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134559823104).

133422241024 is an abundant number, since it is smaller than the sum of its proper divisors (135697405184).

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

133422241024 is a wasteful number, since it uses less digits than its factorization.

133422241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 133422241024 its reverse (420142224331), we get a palindrome (553564465355).

The spelling of 133422241024 in words is "one hundred thirty-three billion, four hundred twenty-two million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 856 1087 1712 2174 3424 4348 4481 6848 8696 8962 13696 17392 17924 27392 34784 35848 69568 71696 116309 139136 143392 232618 278272 286784 465236 479467 573568 930472 958934 1147136 1860944 1917868 3721888 3835736 4870847 7443776 7671472 9741694 14887552 15342944 19483388 29775104 30685888 38966776 61371776 77933552 122743552 155867104 311734208 521180629 623468416 1042361258 1246936832 2084722516 4169445032 8338890064 16677780128 33355560256 66711120512 133422241024