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11123202114 = 23253671011723
BaseRepresentation
bin10100101101111111…
…01001100001000010
31001201012021012202200
422112333221201002
5140240014431424
65035424454030
7542433441453
oct122677514102
931635235680
1011123202114
114798837422
1221a517a316
131083602bcb
147773c112a
154517c88c9
hex296fe9842

11123202114 has 96 divisors (see below), whose sum is σ = 25182840384. Its totient is φ = 3545942400.

The previous prime is 11123202113. The next prime is 11123202137. The reversal of 11123202114 is 41120232111.

11123202114 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 not an unprimeable number, because it can be changed into a prime (11123202113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6454857 + ... + 6456579.

It is an arithmetic number, because the mean of its divisors is an integer number (262321254).

Almost surely, 211123202114 is an apocalyptic number.

11123202114 is an abundant number, since it is smaller than the sum of its proper divisors (14059638270).

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

11123202114 is a wasteful number, since it uses less digits than its factorization.

11123202114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1952 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11123202114 its reverse (41120232111), we get a palindrome (52243434225).

The spelling of 11123202114 in words is "eleven billion, one hundred twenty-three million, two hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 53 67 101 106 134 159 201 202 303 318 402 477 603 606 909 954 1206 1723 1818 3446 3551 5169 5353 6767 7102 10338 10653 10706 13534 15507 16059 20301 21306 31014 31959 32118 40602 48177 60903 63918 91319 96354 115441 121806 174023 182638 230882 273957 346323 348046 358651 522069 547914 692646 717302 821871 1038969 1044138 1075953 1566207 1643742 2077938 2151906 3132414 3227859 6118373 6455718 9223219 11659541 12236746 18355119 18446438 23319082 27669657 34978623 36710238 55065357 55339314 69957246 83008971 104935869 110130714 166017942 209871738 617955673 1235911346 1853867019 3707734038 5561601057 11123202114