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10022020002012 = 22319101556378233
BaseRepresentation
bin1001000111010110111011…
…1100010011000011011100
31022111002120210202020220110
42101311232330103003130
52303200044110031022
633152015154050020
72053031666311014
oct221655674230334
938432523666813
1010022020002012
113214351021497
12115a402279910
135790c3191805
142690d57d8c44
15125a681c300c
hex91d6ef130dc

10022020002012 has 96 divisors (see below), whose sum is σ = 24863991909120. Its totient is φ = 3132909964800.

The previous prime is 10022020001989. The next prime is 10022020002073. The reversal of 10022020002012 is 21020002022001.

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 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, 128065648 + ... + 128143880.

It is an arithmetic number, because the mean of its divisors is an integer number (258999915720).

Almost surely, 210022020002012 is an apocalyptic number.

10022020002012 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 10022020002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12431995954560).

10022020002012 is an abundant number, since it is smaller than the sum of its proper divisors (14841971907108).

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

10022020002012 is a wasteful number, since it uses less digits than its factorization.

10022020002012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83923 (or 83921 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10022020002012 its reverse (21020002022001), we get a palindrome (31042022024013).

The spelling of 10022020002012 in words is "ten trillion, twenty-two billion, twenty million, two thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 303 404 606 1212 1919 3838 5563 5757 7676 11126 11514 16689 22252 23028 33378 66756 78233 105697 156466 211394 234699 312932 317091 422788 469398 561863 634182 938796 1123726 1268364 1486427 1685589 2247452 2972854 3371178 4459281 5945708 6742356 7901533 8918562 10675397 15803066 17837124 21350794 23704599 31606132 32026191 42701588 47409198 64052382 94818396 128104764 150129127 300258254 435210179 450387381 600516508 870420358 900774762 1305630537 1740840716 1801549524 2611261074 5222522148 8268993401 16537986802 24806980203 33075973604 43956228079 49613960406 87912456158 99227920812 131868684237 175824912316 263737368474 527474736948 835168333501 1670336667002 2505505000503 3340673334004 5011010001006 10022020002012