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101441312434 = 27211279108287
BaseRepresentation
bin101111001111001011…
…1111001011010110010
3100200211121201121012201
41132132113321122302
53130222433444214
6114333531213414
710220544633400
oct1363627713262
9320747647181
10101441312434
113a025a81500
12177b05a726a
1397482c4237
144ca4648470
15298aa40274
hex179e5f96b2

101441312434 has 72 divisors (see below), whose sum is σ = 197023518720. Its totient is φ = 39021942960.

The previous prime is 101441312411. The next prime is 101441312437. The reversal of 101441312434 is 434213144101.

It is not an unprimeable number, because it can be changed into a prime (101441312437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 882639 + ... + 990925.

It is an arithmetic number, because the mean of its divisors is an integer number (2736437760).

Almost surely, 2101441312434 is an apocalyptic number.

101441312434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101441312434 is a deficient number, since it is larger than the sum of its proper divisors (95582206286).

101441312434 is a wasteful number, since it uses less digits than its factorization.

101441312434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108404 (or 108386 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 101441312434 its reverse (434213144101), we get a palindrome (535654456535).

The spelling of 101441312434 in words is "one hundred one billion, four hundred forty-one million, three hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 7 11 14 22 49 77 79 98 121 154 158 242 539 553 847 869 1078 1106 1694 1738 3871 5929 6083 7742 9559 11858 12166 19118 42581 66913 85162 108287 133826 216574 468391 758009 936782 1191157 1516018 2382314 5306063 8338099 8554673 10612126 13102727 16676198 17109346 26205454 58366693 59882711 91719089 94101403 116733386 119765422 183438178 188202806 419178977 642033623 658709821 838357954 1035115433 1284067246 1317419642 2070230866 4610968747 7245808031 9221937494 14491616062 50720656217 101441312434