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2133330333312 = 27337150149939
BaseRepresentation
bin11111000010110100011…
…001011000111010000000
321112221111110101120001010
4133002310121120322000
5234423030031131222
64312012144440520
7310061625432003
oct37026431307200
97487443346033
102133330333312
117528163a26a2
122a5554019140
131262313abb19
147537a38d53a
153a75d3d680c
hex1f0b4658e80

2133330333312 has 64 divisors (see below), whose sum is σ = 5819811674400. Its totient is φ = 691890914304.

The previous prime is 2133330333263. The next prime is 2133330333341.

It is a happy number.

2133330333312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21333303333122 (a number of 25 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 2133330333312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75060762 + ... + 75089177.

Almost surely, 22133330333312 is an apocalyptic number.

It is an amenable number.

2133330333312 is an abundant number, since it is smaller than the sum of its proper divisors (3686481341088).

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

2133330333312 is a wasteful number, since it uses less digits than its factorization.

2133330333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150149993 (or 150149981 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 30.

It can be divided in two parts, 2133330 and 333312, that added together give a palindrome (2466642).

The spelling of 2133330333312 in words is "two trillion, one hundred thirty-three billion, three hundred thirty million, three hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 150149939 300299878 450449817 600599756 900899634 1201199512 1801799268 2402399024 3603598536 4804798048 5555547743 7207197072 9609596096 11111095486 14414394144 16666643229 19219192192 22222190972 28828788288 33333286458 44444381944 57657576576 66666572916 88888763888 133333145832 177777527776 266666291664 355555055552 533332583328 711110111104 1066665166656 2133330333312