Search a number
-
+
12323405634201 = 322952738954317
BaseRepresentation
bin1011001101010100010000…
…1101110001101010011001
31121122002212022211112122100
42303111010031301222121
53103401313320243301
642113143331114013
72411223323363424
oct263250415615231
947562768745570
1012323405634201
113a21366234542
121470437742909
136b512764258c
1430865543c9bb
15165860317286
hexb3544371a99

12323405634201 has 24 divisors (see below), whose sum is σ = 18417778521480. Its totient is φ = 7930801863936.

The previous prime is 12323405634151. The next prime is 12323405634223. The reversal of 12323405634201 is 10243650432321.

12323405634201 is a `hidden beast` number, since 1 + 2 + 32 + 3 + 40 + 563 + 4 + 20 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 545605299801 + 11777800334400 = 738651^2 + 3431880^2 .

It is not a de Polignac number, because 12323405634201 - 213 = 12323405626009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12323405634251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3100906 + ... + 5853411.

It is an arithmetic number, because the mean of its divisors is an integer number (767407438395).

Almost surely, 212323405634201 is an apocalyptic number.

It is an amenable number.

12323405634201 is a deficient number, since it is larger than the sum of its proper divisors (6094372887279).

12323405634201 is a wasteful number, since it uses less digits than its factorization.

12323405634201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8959625 (or 8959622 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 12323405634201 in words is "twelve trillion, three hundred twenty-three billion, four hundred five million, six hundred thirty-four thousand, two hundred one".

Divisors: 1 3 9 29 87 261 5273 15819 47457 152917 458751 1376253 8954317 26862951 80588853 259675193 779025579 2337076737 47216113541 141648340623 424945021869 1369267292689 4107801878067 12323405634201