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123001102023231 = 317191318821109849
BaseRepresentation
bin11011111101111001101100…
…111111100011101000111111
3121010111210100021200220001210
4123331321230333203220333
5112110222224104220411
61113333532020335503
734623351654402045
oct3375715477435077
9533453307626053
10123001102023231
1136212524507293
1211966530244593
135382c53368413
1422533dc470395
15e3481a9ceca6
hex6fde6cfe3a3f

123001102023231 has 64 divisors (see below), whose sum is σ = 184205900736000. Its totient is φ = 72548188876800.

The previous prime is 123001102023209. The next prime is 123001102023323. The reversal of 123001102023231 is 132320201100321.

It is not a de Polignac number, because 123001102023231 - 27 = 123001102023103 is a prime.

It is a super-2 number, since 2×1230011020232312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123001102023198 and 123001102023207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123001102027231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1119673995 + ... + 1119783843.

It is an arithmetic number, because the mean of its divisors is an integer number (2878217199000).

Almost surely, 2123001102023231 is an apocalyptic number.

123001102023231 is a deficient number, since it is larger than the sum of its proper divisors (61204798712769).

123001102023231 is a wasteful number, since it uses less digits than its factorization.

123001102023231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118840.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 123001102023231 its reverse (132320201100321), we get a palindrome (255321303123552).

The spelling of 123001102023231 in words is "one hundred twenty-three trillion, one billion, one hundred two million, twenty-three thousand, two hundred thirty-one".

Divisors: 1 3 17 19 51 57 131 323 393 969 2227 2489 6681 7467 8821 26463 42313 109849 126939 149957 167599 329547 449871 502797 1155551 1867433 2087131 2849183 3466653 5602299 6261393 8547549 14390219 19644367 21955469 35481227 43170657 58933101 65866407 106443681 244633723 273414161 373242973 733901169 820242483 968978029 1119728919 2906934087 4648040737 13944122211 16472626493 18410582551 49417879479 55231747653 126936121799 312979903367 380808365397 938939710101 2157914070583 2411786314181 6473742211749 7235358942543 41000367341077 123001102023231