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103434205434 = 2374359970721
BaseRepresentation
bin110000001010100101…
…0001011100011111010
3100212222111201001110120
41200111022023203322
53143313124033214
6115303401554110
710321124145150
oct1402512134372
9325874631416
10103434205434
113a958a0450a
1218067aa5936
1399a5150771
1450131b33d0
152a5599bea9
hex181528b8fa

103434205434 has 64 divisors (see below), whose sum is σ = 246019783680. Its totient is φ = 28376087040.

The previous prime is 103434205429. The next prime is 103434205447. The reversal of 103434205434 is 434502434301.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103434205395 and 103434205404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378807 + ... + 591914.

It is an arithmetic number, because the mean of its divisors is an integer number (3844059120).

Almost surely, 2103434205434 is an apocalyptic number.

103434205434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

103434205434 is an abundant number, since it is smaller than the sum of its proper divisors (142585578246).

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

103434205434 is a wasteful number, since it uses less digits than its factorization.

103434205434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970835.

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 103434205434 its reverse (434502434301), we get a palindrome (537936639735).

The spelling of 103434205434 in words is "one hundred three billion, four hundred thirty-four million, two hundred five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 59 86 118 129 177 258 301 354 413 602 826 903 1239 1806 2478 2537 5074 7611 15222 17759 35518 53277 106554 970721 1941442 2912163 5824326 6795047 13590094 20385141 40770282 41741003 57272539 83482006 114545078 125223009 171817617 250446018 292187021 343635234 400907773 584374042 801815546 876561063 1202723319 1753122126 2405446638 2462719177 4925438354 7388157531 14776315062 17239034239 34478068478 51717102717 103434205434