Search a number
-
+
10022001000012 = 223216731349110847
BaseRepresentation
bin1001000111010110110111…
…0011110011111001001100
31022111002112110222212001200
42101311231303303321030
52303200024224000022
633152013234505500
72053031345636421
oct221655563637114
938432473885050
1010022001000012
113214341322a61
12115a3b7a35290
135790bc26a721
142690d308dd48
15125a666bcbac
hex91d6dcf3e4c

10022001000012 has 144 divisors (see below), whose sum is σ = 25620942477312. Its totient is φ = 3303007868160.

The previous prime is 10022000999993. The next prime is 10022001000043. The reversal of 10022001000012 is 21000010022001.

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 = 10022000999958 and 10022001000003.

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, 923936773 + ... + 923947619.

It is an arithmetic number, because the mean of its divisors is an integer number (177923211648).

Almost surely, 210022001000012 is an apocalyptic number.

10022001000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10022001000012 is an abundant number, since it is smaller than the sum of its proper divisors (15598941477300).

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

10022001000012 is a wasteful number, since it uses less digits than its factorization.

10022001000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11828 (or 11823 counting only the distinct ones).

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

Adding to 10022001000012 its reverse (21000010022001), we get a palindrome (31022011022013).

The spelling of 10022001000012 in words is "ten trillion, twenty-two billion, one million, twelve", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 9 12 18 36 167 313 334 491 501 626 668 939 982 1002 1252 1473 1503 1878 1964 2004 2817 2946 3006 3756 4419 5634 5892 6012 8838 10847 11268 17676 21694 32541 43388 52271 65082 81997 97623 104542 130164 153683 156813 163994 195246 209084 245991 307366 313626 327988 390492 461049 470439 491982 614732 627252 737973 922098 940878 983964 1383147 1475946 1811449 1844196 1881756 2766294 2951892 3395111 3622898 5325877 5434347 5532588 6790222 7245796 10185333 10651754 10868694 13580444 15977631 16303041 20370666 21303508 21737388 25665061 30555999 31955262 32606082 40741332 47932893 51330122 61111998 63910524 65212164 76995183 95865786 102660244 122223996 153990366 191731572 230985549 307980732 461971098 566983537 889421459 923942196 1133967074 1666999501 1700950611 1778842918 2267934148 2668264377 3333999002 3401901222 3557685836 5000998503 5102851833 5336528754 6667998004 6803802444 8004793131 10001997006 10205703666 10673057508 15002995509 16009586262 20003994012 20411407332 30005991018 32019172524 60011982036 278388916667 556777833334 835166750001 1113555666668 1670333500002 2505500250003 3340667000004 5011000500006 10022001000012