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2021010102012 = 22311149941109199
BaseRepresentation
bin11101011010001101100…
…101101101011011111100
321011012120200001121200110
4131122031211231123330
5231103012041231022
64144234512230020
7266004341265546
oct35321545553374
97135520047613
102021010102012
1170a118573460
1228782823b310
131187712a52b5
146db62d92696
153788777300c
hex1d68d96d6fc

2021010102012 has 96 divisors (see below), whose sum is σ = 5184466560000. Its totient is φ = 607665030400.

The previous prime is 2021010101921. The next prime is 2021010102049. The reversal of 2021010102012 is 2102010101202.

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, 18452989 + ... + 18562187.

It is an arithmetic number, because the mean of its divisors is an integer number (54004860000).

Almost surely, 22021010102012 is an apocalyptic number.

2021010102012 is a gapful number since it is divisible by the number (22) 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 2021010102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592233280000).

2021010102012 is an abundant number, since it is smaller than the sum of its proper divisors (3163456457988).

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

2021010102012 is a wasteful number, since it uses less digits than its factorization.

2021010102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110307 (or 110305 counting only the distinct ones).

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

Adding to 2021010102012 its reverse (2102010101202), we get a palindrome (4123020203214).

The spelling of 2021010102012 in words is "two trillion, twenty-one billion, ten million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 149 298 447 596 894 941 1639 1788 1882 2823 3278 3764 4917 5646 6556 9834 10351 11292 19668 20702 31053 41404 62106 109199 124212 140209 218398 280418 327597 420627 436796 560836 655194 841254 1201189 1310388 1542299 1682508 2402378 3084598 3603567 4626897 4804756 6169196 7207134 9253794 14414268 16270651 18507588 32541302 48811953 65082604 97623906 102756259 178977161 195247812 205512518 308268777 357954322 411025036 536931483 616537554 715908644 1073862966 1130318849 1233075108 2147725932 2260637698 3390956547 4521275396 6781913094 13563826188 15310682591 30621365182 45932047773 61242730364 91864095546 168417508501 183728191092 336835017002 505252525503 673670034004 1010505051006 2021010102012