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133013221312302 = 232199312111898041
BaseRepresentation
bin11110001111100110001101…
…110011101000011100101110
3122102221221101002111211002100
4132033212031303220130232
5114413242034123443202
61150521232540035530
740005613423233552
oct3617461563503456
9572857332454070
10133013221312302
1139422654868591
1212b02a2a832ba6
13592b1292938b6
1424bbc34d8d862
151059ea48a841c
hex78f98dce872e

133013221312302 has 48 divisors (see below), whose sum is σ = 289736359567200. Its totient is φ = 44100799142400.

The previous prime is 133013221312267. The next prime is 133013221312319. The reversal of 133013221312302 is 203213122310331.

133013221312302 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 322 + 1 + 31 + 2 + 302 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5230402 + ... + 17128442.

It is an arithmetic number, because the mean of its divisors is an integer number (6036174157650).

Almost surely, 2133013221312302 is an apocalyptic number.

133013221312302 is an abundant number, since it is smaller than the sum of its proper divisors (156723138254898).

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

133013221312302 is a wasteful number, since it uses less digits than its factorization.

133013221312302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11901369 (or 11901366 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133013221312302 its reverse (203213122310331), we get a palindrome (336226343622633).

The spelling of 133013221312302 in words is "one hundred thirty-three trillion, thirteen billion, two hundred twenty-one million, three hundred twelve thousand, three hundred two".

Divisors: 1 2 3 6 9 18 199 398 597 1194 1791 3121 3582 6242 9363 18726 28089 56178 621079 1242158 1863237 3726474 5589711 11179422 11898041 23796082 35694123 71388246 107082369 214164738 2367710159 4735420318 7103130477 14206260954 21309391431 37133785961 42618782862 74267571922 111401357883 222802715766 334204073649 668408147298 7389623406239 14779246812478 22168870218717 44337740437434 66506610656151 133013221312302