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2321202114 = 23271112713187
BaseRepresentation
bin1000101001011010…
…1011101111000010
312222202202021200200
42022112223233002
514223211431424
61022155230030
7111343615050
oct21226535702
95882667620
102321202114
11a91292560
12549448316
132acb8979a
141803cb1d0
15d8bad8c9
hex8a5abbc2

2321202114 has 96 divisors (see below), whose sum is σ = 6320111616. Its totient is φ = 598116960.

The previous prime is 2321202061. The next prime is 2321202119. The reversal of 2321202114 is 4112021232.

It is a happy number.

2321202114 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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2321202119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169429 + ... + 182615.

It is an arithmetic number, because the mean of its divisors is an integer number (65834496).

Almost surely, 22321202114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321202114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160055808).

2321202114 is an abundant number, since it is smaller than the sum of its proper divisors (3998909502).

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

2321202114 is a wasteful number, since it uses less digits than its factorization.

2321202114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13340 (or 13337 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2321202114 is about 48178.8554658576. The cubic root of 2321202114 is about 1324.0497972496.

Adding to 2321202114 its reverse (4112021232), we get a palindrome (6433223346).

The spelling of 2321202114 in words is "two billion, three hundred twenty-one million, two hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 127 154 198 231 254 381 462 693 762 889 1143 1386 1397 1778 2286 2667 2794 4191 5334 8001 8382 9779 12573 13187 16002 19558 25146 26374 29337 39561 58674 79122 88011 92309 118683 145057 176022 184618 237366 276927 290114 435171 553854 830781 870342 1015399 1305513 1661562 1674749 2030798 2611026 3046197 3349498 5024247 6092394 9138591 10048494 11723243 15072741 18277182 18422239 23446486 30145482 35169729 36844478 55266717 70339458 105509187 110533434 128955673 165800151 211018374 257911346 331600302 386867019 773734038 1160601057 2321202114