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102233211311 = 71110731633923
BaseRepresentation
bin101111100110110010…
…0110000000110101111
3100202212210211020020202
41133031210300012233
53133333200230221
6114544300304115
710246301646440
oct1371544600657
9322783736222
10102233211311
113a3a1a89890
121799184203b
13984339b95a
144d3b8a52c7
1529d5316d0b
hex17cd9301af

102233211311 has 32 divisors (see below), whose sum is σ = 128724277248. Its totient is φ = 78872675040.

The previous prime is 102233211257. The next prime is 102233211317. The reversal of 102233211311 is 113112332201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102233211311 - 226 = 102166102447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233211317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26057996 + ... + 26061918.

It is an arithmetic number, because the mean of its divisors is an integer number (4022633664).

Almost surely, 2102233211311 is an apocalyptic number.

102233211311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102233211311 is a deficient number, since it is larger than the sum of its proper divisors (26491065937).

102233211311 is a wasteful number, since it uses less digits than its factorization.

102233211311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7211.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102233211311 its reverse (113112332201), we get a palindrome (215345543512).

The spelling of 102233211311 in words is "one hundred two billion, two hundred thirty-three million, two hundred eleven thousand, three hundred eleven".

Divisors: 1 7 11 77 107 749 1177 3163 3923 8239 22141 27461 34793 43153 243551 302071 338441 419761 2369087 2938327 3722851 4617371 12408449 26059957 32321597 86859143 136492939 955450573 1327704043 9293928301 14604744473 102233211311