Search a number
-
+
123430400401 = 71114915317027
BaseRepresentation
bin111001011110100000…
…1100111000110010001
3102210121002002000012011
41302331001213012101
54010241140303101
6132411513502521
711626502043520
oct1627501470621
9383532060164
10123430400401
114838a274780
121bb08711a41
13b840ac54a9
145d8cb884b7
153326215751
hex1cbd067191

123430400401 has 32 divisors (see below), whose sum is σ = 155043302400. Its totient is φ = 95458046400.

The previous prime is 123430400399. The next prime is 123430400417. The reversal of 123430400401 is 104004034321.

It is a cyclic number.

It is not a de Polignac number, because 123430400401 - 21 = 123430400399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123430400491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17561650 + ... + 17568676.

It is an arithmetic number, because the mean of its divisors is an integer number (4845103200).

Almost surely, 2123430400401 is an apocalyptic number.

123430400401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123430400401 is a deficient number, since it is larger than the sum of its proper divisors (31612901999).

123430400401 is a wasteful number, since it uses less digits than its factorization.

123430400401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 123430400401 its reverse (104004034321), we get a palindrome (227434434722).

The spelling of 123430400401 in words is "one hundred twenty-three billion, four hundred thirty million, four hundred thousand, four hundred one".

Divisors: 1 7 11 77 149 1043 1531 1639 7027 10717 11473 16841 49189 77297 117887 228119 541079 1047023 1596833 2509309 7329161 10758337 11517253 17565163 75308359 80620771 118341707 828391949 1602992213 11220945491 17632914343 123430400401