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2135512302 = 23711338201
BaseRepresentation
bin111111101001001…
…0101010011101110
312111211100021011020
41333102111103232
513333142343202
6551523235010
7103630361250
oct17722252356
95454307136
102135512302
119a6494000
124b7218a66
13280572b61
14163891cd0
15c772e5bc
hex7f4954ee

2135512302 has 64 divisors (see below), whose sum is σ = 5369061888. Its totient is φ = 554664000.

The previous prime is 2135512259. The next prime is 2135512321. The reversal of 2135512302 is 2032155312.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 36802 + ... + 75002.

It is an arithmetic number, because the mean of its divisors is an integer number (83891592).

Almost surely, 22135512302 is an apocalyptic number.

2135512302 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 2135512302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684530944).

2135512302 is an abundant number, since it is smaller than the sum of its proper divisors (3233549586).

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

2135512302 is a wasteful number, since it uses less digits than its factorization.

2135512302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38246 (or 38224 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 2135512302 is about 46211.6035428333. The cubic root of 2135512302 is about 1287.7573159878.

Adding to 2135512302 its reverse (2032155312), we get a palindrome (4167667614).

The spelling of 2135512302 in words is "two billion, one hundred thirty-five million, five hundred twelve thousand, three hundred two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1331 1694 2541 2662 3993 5082 7986 9317 18634 27951 38201 55902 76402 114603 229206 267407 420211 534814 802221 840422 1260633 1604442 2521266 2941477 4622321 5882954 8824431 9244642 13866963 17648862 27733926 32356247 50845531 64712494 97068741 101691062 152536593 194137482 305073186 355918717 711837434 1067756151 2135512302