Search a number
-
+
312430011310230 = 235112932646814139
BaseRepresentation
bin100011100001001110100011…
…1110101110110000010010110
31111222020000110200011120201220
41013002131013311312002112
5311422323130343411410
63024252211001031210
7122544215635356642
oct10702350765660226
91458200420146656
10312430011310230
1190605907395250
122b05b042785506
131054403cc57b68
14572199c327c22
15261c04cc88070
hex11c2747d76096

312430011310230 has 64 divisors (see below), whose sum is σ = 846205422508800. Its totient is φ = 73128863669120.

The previous prime is 312430011310211. The next prime is 312430011310271. The reversal of 312430011310230 is 32013110034213.

It is a super-2 number, since 2×3124300113102302 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312430011310230.

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, 16323397500 + ... + 16323416639.

It is an arithmetic number, because the mean of its divisors is an integer number (13221959726700).

Almost surely, 2312430011310230 is an apocalyptic number.

312430011310230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312430011310230 is an abundant number, since it is smaller than the sum of its proper divisors (533775411198570).

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

312430011310230 is a wasteful number, since it uses less digits than its factorization.

312430011310230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32646814189.

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

Adding to 312430011310230 its reverse (32013110034213), we get a palindrome (344443121344443).

The spelling of 312430011310230 in words is "three hundred twelve trillion, four hundred thirty billion, eleven million, three hundred ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 32646814139 65293628278 97940442417 163234070695 195880884834 326468141390 359114955529 489702212085 718229911058 946757610031 979404424170 1077344866587 1795574777645 1893515220062 2154689733174 2840272830093 3591149555290 4733788050155 5386724332935 5680545660186 9467576100310 10414333710341 10773448665870 14201364150465 20828667420682 28402728300930 31243001131023 52071668551705 62486002262046 104143337103410 156215005655115 312430011310230