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1133220214302 = 2311174183296797
BaseRepresentation
bin10000011111011001001…
…100000011011000011110
311000100001001202111200020
4100133121030003120132
5122031313333324202
62224332202013010
7144605152614201
oct20373114033036
94010031674606
101133220214302
113a76612a4760
121637611a7166
1382b29368a07
143cbc347d938
151e72716c5bc
hex107d930361e

1133220214302 has 128 divisors (see below), whose sum is σ = 2714091867648. Its totient is φ = 311517081600.

The previous prime is 1133220214271. The next prime is 1133220214349. The reversal of 1133220214302 is 2034120223311.

It is a super-3 number, since 3×11332202143023 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3669768 + ... + 3966564.

It is an arithmetic number, because the mean of its divisors is an integer number (21203842716).

Almost surely, 21133220214302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133220214302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357045933824).

1133220214302 is an abundant number, since it is smaller than the sum of its proper divisors (1580871653346).

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

1133220214302 is a wasteful number, since it uses less digits than its factorization.

1133220214302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296954.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1133220214302 its reverse (2034120223311), we get a palindrome (3167340437613).

Subtracting 1133220214302 from its reverse (2034120223311), we obtain a palindrome (900900009009).

The spelling of 1133220214302 in words is "one trillion, one hundred thirty-three billion, two hundred twenty million, two hundred fourteen thousand, three hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 41 51 66 82 83 102 123 166 187 246 249 374 451 498 561 697 902 913 1122 1353 1394 1411 1826 2091 2706 2739 2822 3403 4182 4233 5478 6806 7667 8466 10209 15334 15521 20418 23001 31042 37433 46002 46563 57851 74866 93126 112299 115702 173553 224598 296797 347106 593594 636361 890391 1272722 1780782 1909083 3264767 3818166 5045549 6529534 9794301 10091098 12168677 15136647 19588602 24337354 24634151 30273294 36506031 49268302 55501039 73012062 73902453 111002078 133855447 147804906 166503117 206867509 267710894 270975661 333006234 401566341 413735018 418780567 541951322 620602527 803132682 812926983 837561134 1010000191 1241205054 1256341701 1625853966 2020000382 2275542599 2512683402 3030000573 4551085198 4606586237 6060001146 6826627797 9213172474 11110002101 13653255594 13819758711 17170003247 22220004202 27639517422 33330006303 34340006494 51510009741 66660012606 103020019482 188870035717 377740071434 566610107151 1133220214302