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211031320302 = 23411293404177
BaseRepresentation
bin1100010010001001110…
…0100110011011101110
3202011201010122211010000
43010202130212123232
511424143004222202
6240540233325130
721150360424455
oct3044234463356
9664633584100
10211031320302
1181552751440
1234a95b667a6
1316b9189173a
14a2dd1c5b9c
155751b4d91c
hex31227266ee

211031320302 has 80 divisors (see below), whose sum is σ = 517616214192. Its totient is φ = 63730471680.

The previous prime is 211031320259. The next prime is 211031320319. The reversal of 211031320302 is 203023130112.

211031320302 is a `hidden beast` number, since 2 + 1 + 10 + 31 + 320 + 302 = 666.

211031320302 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 320038 + ... + 724214.

Almost surely, 2211031320302 is an apocalyptic number.

211031320302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 211031320302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258808107096).

211031320302 is an abundant number, since it is smaller than the sum of its proper divisors (306584893890).

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

211031320302 is a wasteful number, since it uses less digits than its factorization.

211031320302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404495 (or 404486 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211031320302 its reverse (203023130112), we get a palindrome (414054450414).

The spelling of 211031320302 in words is "two hundred eleven billion, thirty-one million, three hundred twenty thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 293 297 586 594 879 891 1758 1782 2637 3223 5274 6446 7911 9669 15822 19338 23733 29007 47466 58014 87021 174042 261063 404177 522126 808354 1212531 2425062 3637593 4445947 7275186 8891894 10912779 13337841 21825558 26675682 32738337 40013523 65476674 80027046 118423861 120040569 236847722 240081138 355271583 360121707 710543166 720243414 1065814749 1302662471 2131629498 2605324942 3197444247 3907987413 6394888494 7815974826 9592332741 11723962239 19184665482 23447924478 35171886717 70343773434 105515660151 211031320302