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21000311202012 = 22319499279765993
BaseRepresentation
bin1001100011001100001000…
…00101101110000011011100
32202100121110210110122001020
410301212010011232003130
510223032114131431022
6112355224302444140
74265136200654262
oct461460405560334
982317423418036
1021000311202012
11676720021867a
122432001893650
13b94422ba007c
145285c5b52432
152663edac035c
hex13198416e0dc

21000311202012 has 96 divisors (see below), whose sum is σ = 51702339360000. Its totient is φ = 6615920788992.

The previous prime is 21000311202001. The next prime is 21000311202029. The reversal of 21000311202012 is 21020211300012.

It is a junction number, because it is equal to n+sod(n) for n = 21000311201982 and 21000311202000.

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, 318187288 + ... + 318253280.

It is an arithmetic number, because the mean of its divisors is an integer number (538566035000).

Almost surely, 221000311202012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000311202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25851169680000).

21000311202012 is an abundant number, since it is smaller than the sum of its proper divisors (30702028157988).

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

21000311202012 is a wasteful number, since it uses less digits than its factorization.

21000311202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69315 (or 69313 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21000311202012 its reverse (21020211300012), we get a palindrome (42020522502024).

The spelling of 21000311202012 in words is "twenty-one trillion, three hundred eleven million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 499 998 1497 1996 2797 2994 5594 5988 8391 9481 11188 16782 18962 28443 33564 37924 53143 56886 65993 106286 113772 131986 159429 197979 212572 263972 318858 395958 637716 791916 1253867 1395703 2507734 2791406 3761601 4187109 5015468 5582812 7523202 8374218 15046404 16748436 26518357 32930507 53036714 65861014 79555071 98791521 106073428 131722028 159110142 184582421 197583042 318220284 369164842 395166084 553747263 625679633 738329684 1107494526 1251359266 1877038899 2214989052 2502718532 3507065999 3754077798 7014131998 7508155596 10521197997 14028263996 21042395994 42084791988 92106628079 184213256158 276319884237 368426512316 552639768474 1105279536948 1750025933501 3500051867002 5250077800503 7000103734004 10500155601006 21000311202012