Search a number
-
+
313114220430420 = 223541455572793911
BaseRepresentation
bin100011100110001101001010…
…1111000100000010001010100
31112001122102112101100011122110
41013030122111320200101110
5312020030410412233140
63025534404225031020
7122644520163054003
oct10714322570402124
91461572471304573
10313114220430420
1190849aa4620152
122b14b772a85470
131059370ca6a126
145746b48374c3a
15262ec458a6380
hex11cc695e20454

313114220430420 has 96 divisors (see below), whose sum is σ = 898123262674176. Its totient is φ = 81458792934400.

The previous prime is 313114220430409. The next prime is 313114220430437. The reversal of 313114220430420 is 24034022411313.

It is a super-2 number, since 2×3131142204304202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 110673265 + ... + 113467175.

It is an arithmetic number, because the mean of its divisors is an integer number (9355450652856).

Almost surely, 2313114220430420 is an apocalyptic number.

313114220430420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313114220430420 is an abundant number, since it is smaller than the sum of its proper divisors (585009042243756).

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

313114220430420 is a wasteful number, since it uses less digits than its factorization.

313114220430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839521 (or 2839519 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 313114220430420 its reverse (24034022411313), we get a palindrome (337148242841733).

The spelling of 313114220430420 in words is "three hundred thirteen trillion, one hundred fourteen billion, two hundred twenty million, four hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 45557 91114 136671 182228 227785 273342 455570 546684 683355 911140 1366710 1867837 2733420 2793911 3735674 5587822 5603511 7471348 8381733 9339185 11175644 11207022 13969555 16763466 18678370 22414044 27939110 28017555 33526932 37356740 41908665 55878220 56035110 83817330 112070220 114550351 167634660 229100702 343651053 458201404 572751755 687302106 1145503510 1374604212 1718255265 2291007020 3436510530 6873021060 127282203427 254564406854 381846610281 509128813708 636411017135 763693220562 1272822034270 1527386441124 1909233051405 2545644068540 3818466102810 5218570340507 7636932205620 10437140681014 15655711021521 20874281362028 26092851702535 31311422043042 52185703405070 62622844086084 78278555107605 104371406810140 156557110215210 313114220430420