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1000211202012 = 2231112765639091
BaseRepresentation
bin11101000111000010011…
…10111011111111011100
310112121201102211121011210
432203201032323333130
5112341413031431022
62043253553144420
7132156110640231
oct16434116737734
93477642747153
101000211202012
1135620716a110
12141a2085b110
137341cc75849
14365a6503788
151b040084a0c
hexe8e13bbfdc

1000211202012 has 96 divisors (see below), whose sum is σ = 2566712623104. Its totient is φ = 300628843200.

The previous prime is 1000211201987. The next prime is 1000211202043. The reversal of 1000211202012 is 2102021120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110017587 + ... + 110026677.

It is an arithmetic number, because the mean of its divisors is an integer number (26736589824).

Almost surely, 21000211202012 is an apocalyptic number.

1000211202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000211202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283356311552).

1000211202012 is an abundant number, since it is smaller than the sum of its proper divisors (1566501421092).

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

1000211202012 is a wasteful number, since it uses less digits than its factorization.

1000211202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15799 (or 15797 counting only the distinct ones).

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

Adding to 1000211202012 its reverse (2102021120001), we get a palindrome (3102232322013).

The spelling of 1000211202012 in words is "one trillion, two hundred eleven million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 1397 1524 2794 4191 5588 6563 8382 9091 13126 16764 18182 19689 26252 27273 36364 39378 54546 72193 78756 100001 109092 144386 200002 216579 288772 300003 400004 433158 600006 833501 866316 1154557 1200012 1667002 2309114 2500503 3334004 3463671 4618228 5001006 6927342 9168511 10002012 12700127 13854684 18337022 25400254 27505533 36674044 38100381 50800508 55011066 59664233 76200762 110022132 119328466 152401524 178992699 238656932 357985398 656306563 715970796 1312613126 1968919689 2625226252 3937839378 7577357591 7875678756 15154715182 22732072773 30309430364 45464145546 83350933501 90928291092 166701867002 250052800503 333403734004 500105601006 1000211202012