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133220003334 = 2311234110121193
BaseRepresentation
bin111110000010010000…
…1111110111000000110
3110201212022221100210120
41330010201332320012
54140313310101314
6141111143002410
712424213226115
oct1740441767006
9421768840716
10133220003334
1151553245310
122199b139406
13c741028152
14663adbdc7c
1536ea8b38a9
hex1f0487ee06

133220003334 has 128 divisors (see below), whose sum is σ = 313787851776. Its totient is φ = 37297920000.

The previous prime is 133220003333. The next prime is 133220003387. The reversal of 133220003334 is 433300022331.

It is a happy number.

It is a super-2 number, since 2×1332200033342 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133220003333) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6275442 + ... + 6296634.

It is an arithmetic number, because the mean of its divisors is an integer number (2451467592).

Almost surely, 2133220003334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133220003334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156893925888).

133220003334 is an abundant number, since it is smaller than the sum of its proper divisors (180567848442).

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

133220003334 is a wasteful number, since it uses less digits than its factorization.

133220003334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21374.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 133220003334 its reverse (433300022331), we get a palindrome (566520025665).

The spelling of 133220003334 in words is "one hundred thirty-three billion, two hundred twenty million, three thousand, three hundred thirty-four".

Divisors: 1 2 3 6 11 22 23 33 41 46 66 69 82 101 123 138 202 246 253 303 451 506 606 759 902 943 1111 1353 1518 1886 2222 2323 2706 2829 3333 4141 4646 5658 6666 6969 8282 10373 12423 13938 20746 21193 24846 25553 31119 42386 45551 51106 62238 63579 76659 91102 95243 127158 136653 153318 190486 233123 273306 285729 466246 487439 571458 699369 868913 974878 1047673 1398738 1462317 1737826 2095346 2140493 2606739 2924634 3143019 4280986 5213478 5361829 6286038 6421479 9558043 10723658 12842958 16085487 19116086 19984999 23545423 28674129 32170974 39969998 47090846 49231339 57348258 59954997 70636269 87760213 98462678 119909994 141272538 147694017 175520426 219834989 263280639 295388034 439669978 526561278 541544729 659504967 965362343 1083089458 1319009934 1624634187 1930724686 2018484899 2896087029 3249268374 4036969798 5792174058 6055454697 12110909394 22203333889 44406667778 66610001667 133220003334