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130434210102114 = 232177117873359597
BaseRepresentation
bin11101101010000100010100…
…110000100111101101100010
3122002211101111100220220111200
4131222010110300213231202
5114044013230241231424
61141224352055222030
736321363214525512
oct3552042460475542
9562741440826450
10130434210102114
113861892420a696
1212767035077916
1357a1b7c5904a9
14242d0999b1842
151012d5e4e38c9
hex76a114c27b62

130434210102114 has 96 divisors (see below), whose sum is σ = 303615848105856. Its totient is φ = 40321602424320.

The previous prime is 130434210102083. The next prime is 130434210102121. The reversal of 130434210102114 is 411201012434031.

It is a happy number.

130434210102114 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 342 + 101 + 0 + 211 + 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, 37144564 + ... + 40504160.

It is an arithmetic number, because the mean of its divisors is an integer number (3162665084436).

Almost surely, 2130434210102114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130434210102114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151807924052928).

130434210102114 is an abundant number, since it is smaller than the sum of its proper divisors (173181638003742).

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

130434210102114 is a wasteful number, since it uses less digits than its factorization.

130434210102114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361480 (or 3361477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 130434210102114 its reverse (411201012434031), we get a palindrome (541635222536145).

The spelling of 130434210102114 in words is "one hundred thirty trillion, four hundred thirty-four billion, two hundred ten million, one hundred two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 71 102 142 153 213 306 426 639 1207 1278 1787 2414 3574 3621 5361 7242 10722 10863 16083 21726 30379 32166 60758 91137 126877 182274 253754 273411 380631 546822 761262 1141893 2156909 2283786 3359597 4313818 6470727 6719194 10078791 12941454 19412181 20157582 30236373 38824362 57113149 60472746 114226298 171339447 238531387 342678894 477062774 514018341 715594161 1028036682 1431188322 2146782483 4055033579 4293564966 6003599839 8110067158 12007199678 12165100737 18010799517 24330201474 36021599034 36495302211 54032398551 72990604422 102061197263 108064797102 204122394526 306183591789 426255588569 612367183578 852511177138 918550775367 1278766765707 1837101550734 2557533531414 3836300297121 7246345005673 7672600594242 14492690011346 21739035017019 43478070034038 65217105051057 130434210102114