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103434023034342 = 232711135740594019
BaseRepresentation
bin10111100001001010011100…
…001100110101110111100110
3111120020012021220111101201200
4113201022130030311313212
5102024130334344044332
61003552533442103330
730533601341260320
oct2741123414656746
9446205256441650
10103434023034342
112aa59139535550
12b72625904ab46
134593a2bca4260
141b7833a744610
15be585280b17c
hex5e129c335de6

103434023034342 has 96 divisors (see below), whose sum is σ = 300898976152320. Its totient is φ = 24799366157760.

The previous prime is 103434023034323. The next prime is 103434023034343. The reversal of 103434023034342 is 243430320434301.

103434023034342 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 3 + 4 + 0 + 2 + 303 + 4 + 342 = 666.

It is a super-2 number, since 2×1034340230343422 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103434023034297 and 103434023034306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103434023034343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2870278992 + ... + 2870315027.

It is an arithmetic number, because the mean of its divisors is an integer number (3134364334920).

Almost surely, 2103434023034342 is an apocalyptic number.

103434023034342 is an abundant number, since it is smaller than the sum of its proper divisors (197464953117978).

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

103434023034342 is a wasteful number, since it uses less digits than its factorization.

103434023034342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5740594058 (or 5740594055 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 103434023034342 its reverse (243430320434301), we get a palindrome (346864343468643).

The spelling of 103434023034342 in words is "one hundred three trillion, four hundred thirty-four billion, twenty-three million, thirty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 126 143 154 182 198 231 234 273 286 429 462 546 693 819 858 1001 1287 1386 1638 2002 2574 3003 6006 9009 18018 5740594019 11481188038 17221782057 34443564114 40184158133 51665346171 63146534209 74627722247 80368316266 103330692342 120552474399 126293068418 149255444494 189439602627 223883166741 241104948798 361657423197 378879205254 442025739463 447766333482 522394055729 568318807881 671649500223 723314846394 820904944717 884051478926 1044788111458 1136637615762 1326077218389 1343299000446 1567182167187 1641809889434 2462714834151 2652154436778 3134364334374 3978231655167 4701546501561 4925429668302 5746334613019 7388144502453 7956463310334 9403093003122 11492669226038 14776289004906 17239003839057 34478007678114 51717011517171 103434023034342