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2001022012020 = 223571835659319
BaseRepresentation
bin11101000111100110001…
…101001100101001110100
321002021222122221102220010
4131013212031030221310
5230241043113341040
64131131250140220
7264366122314653
oct35074615145164
97067878842803
102001022012020
117016a0839619
1228398a281670
1311690720a705
146cbc84cb19a
15370b7aaae80
hex1d1e634ca74

2001022012020 has 96 divisors (see below), whose sum is σ = 5750231316480. Its totient is φ = 519751765120.

The previous prime is 2001022011971. The next prime is 2001022012039. The reversal of 2001022012020 is 202102201002.

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

It is a junction number, because it is equal to n+sod(n) for n = 2001022011987 and 2001022012005.

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, 2476080 + ... + 3183239.

It is an arithmetic number, because the mean of its divisors is an integer number (59898242880).

Almost surely, 22001022012020 is an apocalyptic number.

2001022012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001022012020 is an abundant number, since it is smaller than the sum of its proper divisors (3749209304460).

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

2001022012020 is a wasteful number, since it uses less digits than its factorization.

2001022012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5659485 (or 5659483 counting only the distinct ones).

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

Adding to 2001022012020 its reverse (202102201002), we get a palindrome (2203124213022).

It can be divided in two parts, 200102 and 2012020, that added together give a palindrome (2212122).

The spelling of 2001022012020 in words is "two trillion, one billion, twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 83 142 166 213 249 284 332 355 415 426 498 710 830 852 996 1065 1245 1420 1660 2130 2490 4260 4980 5893 11786 17679 23572 29465 35358 58930 70716 88395 117860 176790 353580 5659319 11318638 16977957 22637276 28296595 33955914 56593190 67911828 84889785 113186380 169779570 339559140 401811649 469723477 803623298 939446954 1205434947 1409170431 1607246596 1878893908 2009058245 2348617385 2410869894 2818340862 4018116490 4697234770 4821739788 5636681724 6027174735 7045852155 8036232980 9394469540 12054349470 14091704310 24108698940 28183408620 33350366867 66700733734 100051100601 133401467468 166751834335 200102201202 333503668670 400204402404 500255503005 667007337340 1000511006010 2001022012020