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133434121422 = 237173718112789
BaseRepresentation
bin111110001000101001…
…0110001110011001110
3110202102020211200121010
41330101102301303032
54141233113341142
6141144312150050
712432423214110
oct1742122616316
9422366750533
10133434121422
11516530a0408
1221a3a998326
13c7764b6544
14665b5d93b0
15370e5aae9c
hex1f114b1cce

133434121422 has 128 divisors (see below), whose sum is σ = 331963038720. Its totient is φ = 34879887360.

The previous prime is 133434121333. The next prime is 133434121427. The reversal of 133434121422 is 224121434331.

It is a super-2 number, since 2×1334341214222 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133434121422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133434121427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47841604 + ... + 47844392.

It is an arithmetic number, because the mean of its divisors is an integer number (2593461240).

Almost surely, 2133434121422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133434121422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165981519360).

133434121422 is an abundant number, since it is smaller than the sum of its proper divisors (198528917298).

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

133434121422 is a wasteful number, since it uses less digits than its factorization.

133434121422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666.

The product of its digits is 13824, while the sum is 30.

Adding to 133434121422 its reverse (224121434331), we get a palindrome (357555555753).

The spelling of 133434121422 in words is "one hundred thirty-three billion, four hundred thirty-four million, one hundred twenty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 14 17 21 34 37 42 51 74 102 111 119 222 238 259 357 518 629 714 777 1258 1554 1811 1887 2789 3622 3774 4403 5433 5578 8367 8806 10866 12677 13209 16734 19523 25354 26418 30787 38031 39046 47413 58569 61574 67007 76062 92361 94826 103193 117138 134014 142239 184722 201021 206386 215509 284478 309579 331891 402042 431018 469049 619158 646527 663782 722351 938098 995673 1139119 1293054 1407147 1444702 1754281 1991346 2167053 2278238 2814294 3417357 3508562 4334106 5050879 5262843 6834714 7973833 10101758 10525686 12279967 15152637 15947666 23921499 24559934 30305274 35356153 36839901 47842998 70712306 73679802 85864943 106068459 171729886 186882523 212136918 257594829 373765046 515189658 560647569 601054601 1121295138 1202109202 1308177661 1803163803 2616355322 3177002891 3606327606 3924532983 6354005782 7849065966 9531008673 19062017346 22239020237 44478040474 66717060711 133434121422