Search a number
-
+
10021000002012 = 22321675637573911
BaseRepresentation
bin1001000111010011001000…
…1001010011100111011100
31022110222221201102212221200
42101310302021103213130
52303141002000031022
633151330035555500
72052664502411046
oct221646211234734
938428851385850
1010021000002012
11321397828838a
12115a17875bb90
13578c8ca7120c
1426903a162a96
15125a08890bac
hex91d322539dc

10021000002012 has 144 divisors (see below), whose sum is σ = 25568063119872. Its totient is φ = 3309209043840.

The previous prime is 10021000001983. The next prime is 10021000002023. The reversal of 10021000002012 is 21020000012001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10021000001985 and 10021000002003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2562258337 + ... + 2562262247.

It is an arithmetic number, because the mean of its divisors is an integer number (177555993888).

Almost surely, 210021000002012 is an apocalyptic number.

10021000002012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10021000002012 is an abundant number, since it is smaller than the sum of its proper divisors (15547063117860).

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

10021000002012 is a wasteful number, since it uses less digits than its factorization.

10021000002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021000002012 its reverse (21020000012001), we get a palindrome (31041000014013).

The spelling of 10021000002012 in words is "ten trillion, twenty-one billion, two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 167 334 501 563 668 757 1002 1126 1503 1514 1689 2004 2252 2271 3006 3028 3378 3911 4542 5067 6012 6756 6813 7822 9084 10134 11733 13626 15644 20268 23466 27252 35199 46932 70398 94021 126419 140796 188042 252838 282063 376084 379257 426191 505676 564126 653137 758514 846189 852382 1128252 1137771 1278573 1306274 1517028 1692378 1704764 1959411 2201893 2275542 2557146 2612548 2960627 3384756 3835719 3918822 4403786 4551084 5114292 5878233 5921254 6605679 7671438 7837644 8807572 8881881 11756466 11842508 13211358 15342876 17763762 19817037 23512932 26422716 26645643 35527524 39634074 53291286 71173897 79268148 106582572 142347794 213521691 284695588 367716131 427043382 494424709 640565073 735432262 854086764 988849418 1103148393 1281130146 1470864524 1483274127 1666833001 1977698836 2206296786 2562260292 2966548254 3309445179 3333666002 4412593572 4449822381 5000499003 5933096508 6618890358 6667332004 8899644762 10000998006 13237780716 15001497009 17799289524 20001996012 30002994018 60005988036 278361111167 556722222334 835083333501 1113444444668 1670166667002 2505250000503 3340333334004 5010500001006 10021000002012