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133213244034321 = 3511831151521669
BaseRepresentation
bin11110010010100000100000…
…000101110000110100010001
3122110200001200000112220100000
4132102200200011300310101
5114430031210433044241
61151153153001120213
740026224241304533
oct3622404005606421
9573601600486300
10133213244034321
113949a468439110
1212b35751a89069
135943c5520a149
1424c77ac0a7853
1510602aed19eb6
hex792820170d11

133213244034321 has 96 divisors (see below), whose sum is σ = 220500844462080. Its totient is φ = 79693133688000.

The previous prime is 133213244034317. The next prime is 133213244034323. The reversal of 133213244034321 is 123430442312331.

133213244034321 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 324 + 4 + 0 + 3 + 4 + 321 = 666.

It is not a de Polignac number, because 133213244034321 - 22 = 133213244034317 is a prime.

It is a super-2 number, since 2×1332132440343212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133213244034323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 255098875 + ... + 255620543.

It is an arithmetic number, because the mean of its divisors is an integer number (2296883796480).

Almost surely, 2133213244034321 is an apocalyptic number.

133213244034321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133213244034321 is a deficient number, since it is larger than the sum of its proper divisors (87287600427759).

133213244034321 is a wasteful number, since it uses less digits than its factorization.

133213244034321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522929 (or 522917 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 133213244034321 its reverse (123430442312331), we get a palindrome (256643686346652).

The spelling of 133213244034321 in words is "one hundred thirty-three trillion, two hundred thirteen billion, two hundred forty-four million, thirty-four thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 83 99 243 249 297 747 891 913 1151 2241 2673 2739 3453 6723 8217 10359 12661 20169 24651 31077 37983 73953 93231 95533 113949 221859 279693 286599 341847 521669 859797 1025541 1050863 1565007 2579391 3076623 3152589 4695021 5738359 7738173 9457767 14085063 17215077 23214519 28373301 42255189 43298527 51645231 85119903 126765567 129895581 154935693 255359709 389686743 464807079 476283797 600441019 1169060229 1394421237 1428851391 1801323057 3507180687 4286554173 5403969171 6604851209 10521542061 12859662519 16211907513 19814553627 38578987557 48635722539 49836604577 59443660881 115736962671 145907167617 149509813731 178330982643 448529441193 534992947929 548202650347 1345588323579 1604978843787 1644607951041 4036764970737 4933823853123 12110294912211 14801471559369 44404414678107 133213244034321