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105314602231216 = 2471735435311841
BaseRepresentation
bin10111111100100001110111…
…011101001010010110110000
3111210212222101201000212221101
4113330201313131022112300
5102300433301132344331
61011552505500534144
731116505006556530
oct2774416735122660
9453788351025841
10105314602231216
1130613743460414
12b98a813251354
13469c180344cc1
141c0137ab7b4c0
15c2971b5e2061
hex5fc87774a5b0

105314602231216 has 40 divisors (see below), whose sum is σ = 234544576605984. Its totient is φ = 44873934551040.

The previous prime is 105314602231211. The next prime is 105314602231219. The reversal of 105314602231216 is 612132206413501.

It is a super-2 number, since 2×1053146022312162 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105314602231211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2717636545 + ... + 2717675296.

Almost surely, 2105314602231216 is an apocalyptic number.

105314602231216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105314602231216 is an abundant number, since it is smaller than the sum of its proper divisors (129229974374768).

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

105314602231216 is a wasteful number, since it uses less digits than its factorization.

105314602231216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5435312029 (or 5435312023 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

Adding to 105314602231216 its reverse (612132206413501), we get a palindrome (717446808644717).

The spelling of 105314602231216 in words is "one hundred five trillion, three hundred fourteen billion, six hundred two million, two hundred thirty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 2422 2768 4844 9688 19376 5435311841 10870623682 21741247364 38047182887 43482494728 76094365774 86964989456 152188731548 304377463096 608754926192 940308948493 1880617896986 3761235793972 6582162639451 7522471587944 13164325278902 15044943175888 26328650557804 52657301115608 105314602231216