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10122113113233 = 31111317117158581
BaseRepresentation
bin1001001101001011110011…
…1101001101110010010001
31022211122221110121010201220
42103102330331031302101
52311320041424110413
633310011244515253
72063204253600552
oct223227475156221
938748843533656
1010122113113233
113252844a73410
12117589724bb29
13585685072344
1426dcacd76329
151284756a1223
hex934bcf4dc91

10122113113233 has 32 divisors (see below), whose sum is σ = 14854327731072. Its totient is φ = 6079931827200.

The previous prime is 10122113113223. The next prime is 10122113113249. The reversal of 10122113113233 is 33231131122101.

It is not a de Polignac number, because 10122113113233 - 26 = 10122113113169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122113113223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63750003 + ... + 63908583.

It is an arithmetic number, because the mean of its divisors is an integer number (464197741596).

Almost surely, 210122113113233 is an apocalyptic number.

It is an amenable number.

10122113113233 is a deficient number, since it is larger than the sum of its proper divisors (4732214617839).

10122113113233 is a wasteful number, since it uses less digits than its factorization.

10122113113233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175825.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 10122113113233 its reverse (33231131122101), we get a palindrome (43353244235334).

The spelling of 10122113113233 in words is "ten trillion, one hundred twenty-two billion, one hundred thirteen million, one hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 3 11 33 113 339 1243 3729 17117 51351 158581 188287 475743 564861 1744391 1934221 5233173 5802663 17919653 21276431 53758959 63829293 197116183 591348549 2714430977 8143292931 29858740747 89576222241 306730700401 920192101203 3374037704411 10122113113233