Search a number
-
+
10000320030012 = 22313234759301217
BaseRepresentation
bin1001000110000110000110…
…0001011110010100111100
31022102000120111102110110210
42101201201201132110330
52302321123411430022
633134030020232420
72051333152506354
oct221414141362474
938360514373423
1010000320030012
113206125a49334
121156166b3b710
1357704554a2b0
14268037837b64
151251e80aba0c
hex9186185e53c

10000320030012 has 96 divisors (see below), whose sum is σ = 26779481229312. Its totient is φ = 2880615868416.

The previous prime is 10000320030007. The next prime is 10000320030053. The reversal of 10000320030012 is 21003002300001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10000320030012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29481973 + ... + 29819244.

It is an arithmetic number, because the mean of its divisors is an integer number (278952929472).

Almost surely, 210000320030012 is an apocalyptic number.

10000320030012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10000320030012 is an abundant number, since it is smaller than the sum of its proper divisors (16779161199300).

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

10000320030012 is a wasteful number, since it uses less digits than its factorization.

10000320030012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59301307 (or 59301305 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10000320030012 its reverse (21003002300001), we get a palindrome (31003322330013).

The spelling of 10000320030012 in words is "ten trillion, three hundred twenty million, thirty thousand, twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 47 52 69 78 92 94 138 141 156 188 276 282 299 564 598 611 897 1081 1196 1222 1794 1833 2162 2444 3243 3588 3666 4324 6486 7332 12972 14053 28106 42159 56212 84318 168636 59301217 118602434 177903651 237204868 355807302 711614604 770915821 1363927991 1541831642 2312747463 2727855982 2787157199 3083663284 4091783973 4625494926 5455711964 5574314398 8183567946 8361471597 9250989852 11148628796 16367135892 16722943194 17731063883 33445886388 35462127766 36233043587 53193191649 64104615577 70924255532 72466087174 106386383298 108699130761 128209231154 144932174348 192313846731 212772766596 217398261522 256418462308 384627693462 434796523044 769255386924 833360002501 1666720005002 2500080007503 3333440010004 5000160015006 10000320030012