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2001020202012 = 22313731371282577
BaseRepresentation
bin11101000111100110000…
…110010010110000011100
321002021222112112111000210
4131013212012102300130
5230241042132431022
64131131143252420
7264366101035656
oct35074606226034
97067875474023
102001020202012
1170169a812747
1228398974a110
13116906a258c0
146cbc81796d6
15370b784ea0c
hex1d1e6192c1c

2001020202012 has 96 divisors (see below), whose sum is σ = 5134293122112. Its totient is φ = 602831241216.

The previous prime is 2001020201987. The next prime is 2001020202029. The reversal of 2001020202012 is 2102020201002.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918868 + ... + 2201444.

It is an arithmetic number, because the mean of its divisors is an integer number (53482220022).

Almost surely, 22001020202012 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 2001020202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567146561056).

2001020202012 is an abundant number, since it is smaller than the sum of its proper divisors (3133272920100).

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

2001020202012 is a wasteful number, since it uses less digits than its factorization.

2001020202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282807 (or 1282805 counting only the distinct ones).

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

Adding to 2001020202012 its reverse (2102020201002), we get a palindrome (4103040403014).

The spelling of 2001020202012 in words is "two trillion, one billion, twenty million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 73 78 137 146 156 219 274 292 411 438 548 822 876 949 1644 1781 1898 2847 3562 3796 5343 5694 7124 10001 10686 11388 20002 21372 30003 40004 60006 120012 130013 260026 390039 520052 780078 1282577 1560156 2565154 3847731 5130308 7695462 15390924 16673501 33347002 50020503 66694004 93628121 100041006 175713049 187256242 200082012 280884363 351426098 374512484 527139147 561768726 702852196 1054278294 1123537452 1217165573 2108556588 2284269637 2434331146 3651496719 4568539274 4868662292 6852808911 7302993438 9137078548 12827052577 13705617822 14605986876 25654105154 27411235644 38481157731 51308210308 76962315462 153924630924 166751683501 333503367002 500255050503 667006734004 1000510101006 2001020202012