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103113344320434 = 23274341534582621
BaseRepresentation
bin10111011100011111110010…
…010000101000001110110010
3111112002112120020220212021200
4113130133302100220032302
5102003402112121223214
61003145341052232030
730501456540213210
oct2734376220501662
9445075506825250
10103113344320434
112a94513a789448
12b69408246b616
13456c714ca2276
141b669d9123cb0
15bdc334a15d09
hex5dc7f24283b2

103113344320434 has 96 divisors (see below), whose sum is σ = 261329115425664. Its totient is φ = 28768881818880.

The previous prime is 103113344320429. The next prime is 103113344320507. The reversal of 103113344320434 is 434023443311301.

103113344320434 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 1 + 3 + 3 + 443 + 204 + 3 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20209644 + ... + 24792264.

It is an arithmetic number, because the mean of its divisors is an integer number (2722178285684).

Almost surely, 2103113344320434 is an apocalyptic number.

103113344320434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103113344320434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130664557712832).

103113344320434 is an abundant number, since it is smaller than the sum of its proper divisors (158215771105230).

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

103113344320434 is a wasteful number, since it uses less digits than its factorization.

103113344320434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586832 (or 4586829 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 103113344320434 its reverse (434023443311301), we get a palindrome (537136787631735).

The spelling of 103113344320434 in words is "one hundred three trillion, one hundred thirteen billion, three hundred forty-four million, three hundred twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 43 63 86 126 129 258 301 387 602 774 903 1806 2709 4153 5418 8306 12459 24918 29071 37377 58142 74754 87213 174426 178579 261639 357158 523278 535737 1071474 1250053 1607211 2500106 3214422 3750159 4582621 7500318 9165242 11250477 13747863 22500954 27495726 32078347 41243589 64156694 82487178 96235041 192470082 197052703 288705123 394105406 577410246 591158109 1182316218 1379368921 1773474327 2758737842 3546948654 4138106763 8276213526 12414320289 19031625013 24828640578 38063250026 57094875039 114189750078 133221375091 171284625117 266442750182 342569250234 399664125273 799328250546 818359875559 1198992375819 1636719751118 2397984751638 2455079626677 4910159253354 5728519128913 7365238880031 11457038257826 14730477760062 17185557386739 34371114773478 51556672160217 103113344320434