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13141312103034 = 23217231971851337
BaseRepresentation
bin1011111100111011001100…
…1111010110001001111010
31201112022000122011011000100
42333032303033112021322
53210301401344244114
643541011353220230
72524266651560103
oct277166317261172
951468018134010
1013141312103034
1142072210a8305
121582a5aa01676
137442b333222b
14336085a053aa
1517bc80689909
hexbf3b33d627a

13141312103034 has 48 divisors (see below), whose sum is σ = 30149031924648. Its totient is φ = 4122584626176.

The previous prime is 13141312103021. The next prime is 13141312103077. The reversal of 13141312103034 is 43030121314131.

13141312103034 is a `hidden beast` number, since 1 + 3 + 1 + 41 + 312 + 1 + 0 + 303 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9272006730009 + 3869305373025 = 3044997^2 + 1967055^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13141312102989 and 13141312103007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6172614 + ... + 8023950.

Almost surely, 213141312103034 is an apocalyptic number.

13141312103034 is an abundant number, since it is smaller than the sum of its proper divisors (17007719821614).

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

13141312103034 is a wasteful number, since it uses less digits than its factorization.

13141312103034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874559 (or 1874556 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13141312103034 its reverse (43030121314131), we get a palindrome (56171433417165).

The spelling of 13141312103034 in words is "thirteen trillion, one hundred forty-one billion, three hundred twelve million, one hundred three thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 23197 46394 69591 139182 208773 394349 417546 788698 1183047 1851337 2366094 3549141 3702674 5554011 7098282 11108022 16662033 31472729 33324066 62945458 94418187 188836374 283254561 566509122 42945464389 85890928778 128836393167 257672786334 386509179501 730072894613 773018359002 1460145789226 2190218683839 4380437367678 6570656051517 13141312103034