Search a number
-
+
123033111320001 = 317191271831546017
BaseRepresentation
bin11011111110010111100000…
…111001010101010111000001
3121010121211222001211122102210
4123332113200321111113001
5112111233302444220001
61113400344150532333
734625564123053011
oct3376274071252701
9533554861748383
10123033111320001
113622505a967763
12119707840670a9
135385c84ab12cc
142254b976b3c41
15e35590c05dd6
hex6fe5e0e555c1

123033111320001 has 64 divisors (see below), whose sum is σ = 184376213176320. Its totient is φ = 72518612705280.

The previous prime is 123033111319901. The next prime is 123033111320003. The reversal of 123033111320001 is 100023111330321.

It is a happy number.

It is not a de Polignac number, because 123033111320001 - 27 = 123033111319873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 123033111320001.

It is not an unprimeable number, because it can be changed into a prime (123033111320003) 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, 225055345 + ... + 225601361.

It is an arithmetic number, because the mean of its divisors is an integer number (2880878330880).

Almost surely, 2123033111320001 is an apocalyptic number.

It is an amenable number.

123033111320001 is a deficient number, since it is larger than the sum of its proper divisors (61343101856319).

123033111320001 is a wasteful number, since it uses less digits than its factorization.

123033111320001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548014.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 123033111320001 its reverse (100023111330321), we get a palindrome (223056222650322).

The spelling of 123033111320001 in words is "one hundred twenty-three trillion, thirty-three billion, one hundred eleven million, three hundred twenty thousand, one".

Divisors: 1 3 17 19 51 57 127 323 381 969 1831 2159 2413 5493 6477 7239 31127 34789 41021 93381 104367 123063 232537 546017 591413 697611 1638051 1774239 3953129 4418203 9282289 10374323 11859387 13254609 27846867 31122969 69344159 75109451 176363491 208032477 225328353 529090473 999757127 1178850703 1317539021 2999271381 3536552109 3952617063 16995871159 18995385413 22398163357 50987613477 56986156239 67194490071 126969155129 322921552021 380907465387 968764656063 2158475637193 2412413947451 6475426911579 7237241842353 41011037106667 123033111320001