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105013321134 = 2367799373529
BaseRepresentation
bin110000111001101001…
…0000001110110101110
3101001001120002102222020
41201303102001312232
53210031402234014
6120124211531010
710405220334051
oct1416322016656
9331046072866
10105013321134
1140599311507
12184288b9a66
139b97353757
145122bcca98
152ae94231a9
hex1873481dae

105013321134 has 64 divisors (see below), whose sum is σ = 216151219200. Its totient is φ = 33999533568.

The previous prime is 105013321093. The next prime is 105013321177. The reversal of 105013321134 is 431123310501.

It is a super-2 number, since 2×1050133211342 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29755482 + ... + 29759010.

It is an arithmetic number, because the mean of its divisors is an integer number (3377362800).

Almost surely, 2105013321134 is an apocalyptic number.

105013321134 is an abundant number, since it is smaller than the sum of its proper divisors (111137898066).

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

105013321134 is a wasteful number, since it uses less digits than its factorization.

105013321134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4617.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 105013321134 its reverse (431123310501), we get a palindrome (536136631635).

The spelling of 105013321134 in words is "one hundred five billion, thirteen million, three hundred twenty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 67 79 134 158 201 237 402 474 937 1874 2811 3529 5293 5622 7058 10586 10587 15879 21174 31758 62779 74023 125558 148046 188337 222069 236443 278791 376674 444138 472886 557582 709329 836373 1418658 1672746 3306673 4959541 6613346 9919082 9920019 14878623 18678997 19840038 29757246 37357994 56036991 112073982 221547091 261227167 443094182 522454334 664641273 783681501 1329282546 1567363002 17502220189 35004440378 52506660567 105013321134