Search a number
-
+
10031110232320 = 285371071979491
BaseRepresentation
bin1001000111111000110011…
…0000110001100100000000
31022111222001022121210122001
42101332030300301210000
52303322203204413240
633200121201153344
72053503156064132
oct221761460614400
938458038553561
1010031110232320
113218196241021
12116011a62b854
13579c11544808
14269718bbb052
15125deb27489a
hex91f8cc31900

10031110232320 has 144 divisors (see below), whose sum is σ = 24907678625088. Its totient is φ = 3867511726080.

The previous prime is 10031110232281. The next prime is 10031110232369. The reversal of 10031110232320 is 2323201113001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4077775 + ... + 6057265.

It is an arithmetic number, because the mean of its divisors is an integer number (172969990452).

Almost surely, 210031110232320 is an apocalyptic number.

10031110232320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10031110232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453839312544).

10031110232320 is an abundant number, since it is smaller than the sum of its proper divisors (14876568392768).

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

10031110232320 is a wasteful number, since it uses less digits than its factorization.

10031110232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979656 (or 1979642 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10031110232320 its reverse (2323201113001), we get a palindrome (12354311345321).

The spelling of 10031110232320 in words is "ten trillion, thirty-one billion, one hundred ten million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 107 128 148 160 185 214 256 296 320 370 428 535 592 640 740 856 1070 1184 1280 1480 1712 2140 2368 2960 3424 3959 4280 4736 5920 6848 7918 8560 9472 11840 13696 15836 17120 19795 23680 27392 31672 34240 39590 47360 63344 68480 79180 126688 136960 158360 253376 316720 506752 633440 1013504 1266880 1979491 2533760 3958982 5067520 7917964 9897455 15835928 19794910 31671856 39589820 63343712 73241167 79179640 126687424 146482334 158359280 211805537 253374848 292964668 316718560 366205835 423611074 506749696 585929336 633437120 732411670 847222148 1059027685 1171858672 1266874240 1464823340 1694444296 2118055370 2343717344 2533748480 2929646680 3388888592 4236110740 4687434688 5859293360 6777777184 7836804869 8472221480 9374869376 11718586720 13555554368 15673609738 16944442960 18749738752 23437173440 27111108736 31347219476 33888885920 39184024345 46874346880 54222217472 62694438952 67777771840 78368048690 93748693760 125388877904 135555543680 156736097380 250777755808 271111087360 313472194760 501555511616 626944389520 1003111023232 1253888779040 2006222046464 2507777558080 5015555116160 10031110232320