Search a number
-
+
10002022122012 = 223192316711421119
BaseRepresentation
bin1001000110001100011011…
…1110011100001000011100
31022102011222010012200202020
42101203012332130020130
52302333120130401022
633134510542100140
72051423301163614
oct221430676341034
938364863180666
1010002022122012
113206919810238
121156560b7a650
13577257079b1b
14268159905a44
1512529772535c
hex918c6f9c21c

10002022122012 has 96 divisors (see below), whose sum is σ = 25787975270400. Its totient is φ = 3003114451392.

The previous prime is 10002022122011. The next prime is 10002022122049. The reversal of 10002022122012 is 21022122020001.

It is a junction number, because it is equal to n+sod(n) for n = 10002022121982 and 10002022122000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002022122011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4834812 + ... + 6586307.

It is an arithmetic number, because the mean of its divisors is an integer number (268624742400).

Almost surely, 210002022122012 is an apocalyptic number.

10002022122012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002022122012 is an abundant number, since it is smaller than the sum of its proper divisors (15785953148388).

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

10002022122012 is a wasteful number, since it uses less digits than its factorization.

10002022122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11421335 (or 11421333 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10002022122012 its reverse (21022122020001), we get a palindrome (31024144142013).

The spelling of 10002022122012 in words is "ten trillion, two billion, twenty-two million, one hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 167 228 276 334 437 501 668 874 1002 1311 1748 2004 2622 3173 3841 5244 6346 7682 9519 11523 12692 15364 19038 23046 38076 46092 72979 145958 218937 291916 437874 875748 11421119 22842238 34263357 45684476 68526714 137053428 217001261 262685737 434002522 525371474 651003783 788057211 868005044 1050742948 1302007566 1576114422 1907326873 2604015132 3152228844 3814653746 4991029003 5721980619 7629307492 9982058006 11443961238 14973087009 19964116012 22887922476 29946174018 36239210587 43868518079 59892348036 72478421174 87737036158 108717631761 131605554237 144956842348 175474072316 217435263522 263211108474 434870527044 526422216948 833501843501 1667003687002 2500505530503 3334007374004 5001011061006 10002022122012