Search a number
-
+
313100134401300 = 223524435723528803
BaseRepresentation
bin100011100110000110100111…
…0010010100100010100010100
31112001121002011200222202022020
41013030031032102210110110
5312014313033401320200
63025524114400333140
7122643511131561501
oct10714151622442424
91461532150882266
10313100134401300
1190844026402a74
122b148aa16141b0
13105922a669985c
1457461ad6a64a8
15262e6bde2cea0
hex11cc34e4a4514

313100134401300 has 72 divisors (see below), whose sum is σ = 905923517038176. Its totient is φ = 83491483320960.

The previous prime is 313100134401163. The next prime is 313100134401323. The reversal of 313100134401300 is 3104431001313.

It is a super-3 number, since 3×3131001344013003 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 1542699 + ... + 25071501.

Almost surely, 2313100134401300 is an apocalyptic number.

313100134401300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313100134401300 is an abundant number, since it is smaller than the sum of its proper divisors (592823382636876).

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

313100134401300 is a wasteful number, since it uses less digits than its factorization.

313100134401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23573177 (or 23573170 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 313100134401300 its reverse (3104431001313), we get a palindrome (316204565402613).

The spelling of 313100134401300 in words is "three hundred thirteen trillion, one hundred billion, one hundred thirty-four million, four hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 44357 88714 133071 177428 221785 266142 443570 532284 665355 887140 1108925 1330710 2217850 2661420 3326775 4435700 6653550 13307100 23528803 47057606 70586409 94115212 117644015 141172818 235288030 282345636 352932045 470576060 588220075 705864090 1176440150 1411728180 1764660225 2352880300 3529320450 7058640900 1043667114671 2087334229342 3131001344013 4174668458684 5218335573355 6262002688026 10436671146710 12524005376052 15655006720065 20873342293420 26091677866775 31310013440130 52183355733550 62620026880260 78275033600325 104366711467100 156550067200650 313100134401300