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10123322433 = 37237471992
BaseRepresentation
bin10010110110110010…
…11010010001000001
3222010111211001200220
421123121122101001
5131213032304213
64352305533253
7505602551400
oct113331322101
928114731626
1010123322433
114325395a84
121b66344229
13c54408723
146c06a5637
153e3b1ce23
hex25b65a441

10123322433 has 72 divisors (see below), whose sum is σ = 16552121472. Its totient is φ = 5480975808.

The previous prime is 10123322431. The next prime is 10123322437. The reversal of 10123322433 is 33422332101.

10123322433 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10123322433 - 21 = 10123322431 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10123322431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50870868 + ... + 50871066.

It is an arithmetic number, because the mean of its divisors is an integer number (229890576).

Almost surely, 210123322433 is an apocalyptic number.

It is an amenable number.

10123322433 is a deficient number, since it is larger than the sum of its proper divisors (6428799039).

10123322433 is an equidigital number, since it uses as much as digits as its factorization.

10123322433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10123322433 its reverse (33422332101), we get a palindrome (43545654534).

The spelling of 10123322433 in words is "ten billion, one hundred twenty-three million, three hundred twenty-two thousand, four hundred thirty-three".

Divisors: 1 3 7 21 37 47 49 111 141 147 199 259 329 597 777 987 1393 1739 1813 2303 4179 5217 5439 6909 7363 9353 9751 12173 22089 28059 29253 36519 39601 51541 65471 85211 118803 154623 196413 255633 277207 346061 360787 458297 831621 1038183 1082361 1374891 1465237 1861247 1940449 2422427 4395711 5583741 5821347 7267281 10256659 13028729 16956989 30769977 39086187 50870967 68866139 71796613 91201103 206598417 215389839 273603309 482062973 1446188919 3374440811 10123322433