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434124000123 = 31123087569813
BaseRepresentation
bin1100101000100111100…
…11101000101101111011
31112111112211220012000020
412110103303220231323
524103041221000443
6531233411541523
743235666054562
oct6242363505573
91474484805006
10434124000123
111581247537a0
12701772ba8a3
1331c2621c6a8
14170241dcbd9
15b45c5dd583
hex6513ce8b7b

434124000123 has 16 divisors (see below), whose sum is σ = 631481550336. Its totient is φ = 263093596640.

The previous prime is 434124000119. The next prime is 434124000157. The reversal of 434124000123 is 321000421434.

It is a cyclic number.

It is not a de Polignac number, because 434124000123 - 22 = 434124000119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 434124000093 and 434124000102.

It is not an unprimeable number, because it can be changed into a prime (434124000173) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 476965 + ... + 1046777.

It is an arithmetic number, because the mean of its divisors is an integer number (39467596896).

Almost surely, 2434124000123 is an apocalyptic number.

434124000123 is a deficient number, since it is larger than the sum of its proper divisors (197357550213).

434124000123 is a wasteful number, since it uses less digits than its factorization.

434124000123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592914.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 434124000123 its reverse (321000421434), we get a palindrome (755124421557).

The spelling of 434124000123 in words is "four hundred thirty-four billion, one hundred twenty-four million, one hundred twenty-three", and thus it is an aban number.

Divisors: 1 3 11 33 23087 69261 253957 569813 761871 1709439 6267943 18803829 13155272731 39465818193 144708000041 434124000123