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123114254340 = 2235711471394079
BaseRepresentation
bin111001010101000101…
…1100111000000000100
3102202210001012010022210
41302222023213000010
54004114222114330
6132320301423420
711615612616060
oct1625213470004
9382701163283
10123114254340
1148237872540
121ba3a86ab70
13b7c046350c
145d5cbb0aa0
1533085b78b0
hex1caa2e7004

123114254340 has 384 divisors, whose sum is σ = 442191052800. Its totient is φ = 24851658240.

The previous prime is 123114254309. The next prime is 123114254401. The reversal of 123114254340 is 43452411321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123114254298 and 123114254307.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30180421 + ... + 30184499.

It is an arithmetic number, because the mean of its divisors is an integer number (1151539200).

Almost surely, 2123114254340 is an apocalyptic number.

123114254340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123114254340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221095526400).

123114254340 is an abundant number, since it is smaller than the sum of its proper divisors (319076798460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123114254340 is a wasteful number, since it uses less digits than its factorization.

123114254340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 123114254340 its reverse (43452411321), we get a palindrome (166566665661).

The spelling of 123114254340 in words is "one hundred twenty-three billion, one hundred fourteen million, two hundred fifty-four thousand, three hundred forty".