Search a number
-
+
21201200010012 = 223113712734180709
BaseRepresentation
bin1001101001000010010011…
…11111101101001100011100
32210001211000002012102220110
410310201021333231030130
510234330024200310022
6113031410303050020
74315510333444251
oct464411177551434
983054002172813
1021201200010012
116834418767440
122464b26ba0910
13baa359397629
14534201cb9428
1526b75a0b000c
hex134849fed31c

21201200010012 has 96 divisors (see below), whose sum is σ = 55861671075840. Its totient is φ = 6201747659520.

The previous prime is 21201200010007. The next prime is 21201200010031. The reversal of 21201200010012 is 21001000210212.

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 21201200010012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16470087 + ... + 17710622.

It is an arithmetic number, because the mean of its divisors is an integer number (581892407040).

Almost surely, 221201200010012 is an apocalyptic number.

21201200010012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21201200010012 is an abundant number, since it is smaller than the sum of its proper divisors (34660471065828).

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

21201200010012 is a wasteful number, since it uses less digits than its factorization.

21201200010012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34180891 (or 34180889 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21201200010012 its reverse (21001000210212), we get a palindrome (42202200220224).

The spelling of 21201200010012 in words is "twenty-one trillion, two hundred one billion, two hundred million, ten thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 127 132 148 222 254 381 407 444 508 762 814 1221 1397 1524 1628 2442 2794 4191 4699 4884 5588 8382 9398 14097 16764 18796 28194 51689 56388 103378 155067 206756 310134 620268 34180709 68361418 102542127 136722836 205084254 375987799 410168508 751975598 1127963397 1264686233 1503951196 2255926794 2529372466 3794058699 4340950043 4511853588 5058744932 7588117398 8681900086 13022850129 13911548563 15176234796 17363800172 26045700258 27823097126 41734645689 47750450473 52091400516 55646194252 83469291378 95500900946 143251351419 160615151591 166938582756 191001801892 286502702838 321230303182 481845454773 573005405676 642460606364 963690909546 1766766667501 1927381819092 3533533335002 5300300002503 7067066670004 10600600005006 21201200010012