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12202110096 = 2431123110057
BaseRepresentation
bin10110101110100110…
…10110110010010000
31011111101102102021120
423113103112302100
5144442220010341
65334445322240
7611244140001
oct132723266220
934441372246
1012202110096
1151a1855a10
122446566380
1311c5caa3b7
1483a7cd1a8
154b6395066
hex2d74d6c90

12202110096 has 40 divisors (see below), whose sum is σ = 34387766304. Its totient is φ = 3697608960.

The previous prime is 12202110079. The next prime is 12202110097. The reversal of 12202110096 is 69001120221.

12202110096 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 (24).

It is not an unprimeable number, because it can be changed into a prime (12202110097) 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 7 ways as a sum of consecutive naturals, for example, 11554501 + ... + 11555556.

Almost surely, 212202110096 is an apocalyptic number.

12202110096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12202110096 is an abundant number, since it is smaller than the sum of its proper divisors (22185656208).

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

12202110096 is a wasteful number, since it uses less digits than its factorization.

12202110096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23110079 (or 23110073 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 12202110096 in words is "twelve billion, two hundred two million, one hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 23110057 46220114 69330171 92440228 138660342 184880456 254210627 277320684 369760912 508421254 554641368 762631881 1016842508 1109282736 1525263762 2033685016 3050527524 4067370032 6101055048 12202110096