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332020213013097 = 33728631450320051
BaseRepresentation
bin100101101111110000111101…
…0110110101101101001101001
31121112120211012111211122121000
41023133201322312231221221
5322004304344012404342
63134051551415305213
7126635445252354600
oct11337417266555151
91545524174748530
10332020213013097
1196878a88551264
12312a38a967b209
13113354aa9454bb
145bdbc14d66a37
15285b91ae0b44c
hex12df87adada69

332020213013097 has 96 divisors (see below), whose sum is σ = 572920123023360. Its totient is φ = 189483474247200.

The previous prime is 332020213013087. The next prime is 332020213013101. The reversal of 332020213013097 is 790310312020233.

332020213013097 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 20 + 21 + 301 + 309 + 7 = 666.

It is not a de Polignac number, because 332020213013097 - 227 = 332020078795369 is a prime.

It is a super-2 number, since 2×3320202130130972 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332020213013017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16558775722 + ... + 16558795772.

It is an arithmetic number, because the mean of its divisors is an integer number (5967917948160).

Almost surely, 2332020213013097 is an apocalyptic number.

It is an amenable number.

332020213013097 is a deficient number, since it is larger than the sum of its proper divisors (240899910010263).

332020213013097 is a wasteful number, since it uses less digits than its factorization.

332020213013097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35440 (or 35427 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 332020213013097 in words is "three hundred thirty-two trillion, twenty billion, two hundred thirteen million, thirteen thousand, ninety-seven".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 863 1323 2589 6041 7767 14503 18123 20051 23301 42287 43509 54369 60153 101521 126861 130527 140357 163107 180459 304563 380583 391581 421071 541377 710647 913689 982499 1141749 1263213 2131941 2741067 2947497 3789639 6395823 8842491 12516089 17304013 19187469 26527473 37548267 51912039 87612623 112644801 121128091 155736117 262837869 290799653 337934403 363384273 467208351 613288361 788513607 847896637 872398959 1090152819 1839865083 2035597571 2365540821 2543689911 2617196877 3270458457 5519595249 6106792713 7631069733 7851590631 14249182997 16558785747 18320378139 22893209199 42747548991 54961134417 128242646973 250960100539 384727940919 752880301617 1756720703773 2258640904851 5270162111319 6775922714553 12297044926411 15810486333957 36891134779233 47431459001871 110673404337699 332020213013097