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2021131022000 = 245359157109097
BaseRepresentation
bin11101011010010100110…
…010111110111010110000
321011012220002120222201112
4131122110302332322300
5231103234020201000
64144254512052452
7266010340141136
oct35322462767260
97135802528645
102021131022000
1170a17a853432
12287860834128
13118790361b9c
146db7506b756
15378931ab235
hex1d694cbeeb0

2021131022000 has 160 divisors (see below), whose sum is σ = 5001628357440. Its totient is φ = 789680486400.

The previous prime is 2021131021999. The next prime is 2021131022011. The reversal of 2021131022000 is 2201311202.

It is a happy 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, 18471452 + ... + 18580548.

It is an arithmetic number, because the mean of its divisors is an integer number (31260177234).

Almost surely, 22021131022000 is an apocalyptic number.

2021131022000 is a gapful number since it is divisible by the number (20) 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 2021131022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500814178720).

2021131022000 is an abundant number, since it is smaller than the sum of its proper divisors (2980497335440).

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

2021131022000 is a wasteful number, since it uses less digits than its factorization.

2021131022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109336 (or 109320 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2021131022000 its reverse (2201311202), we get a palindrome (2023332333202).

The spelling of 2021131022000 in words is "two trillion, twenty-one billion, one hundred thirty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 157 200 236 250 295 314 400 472 500 590 628 785 944 1000 1180 1256 1475 1570 2000 2360 2512 2950 3140 3925 4720 5900 6280 7375 7850 9263 11800 12560 14750 15700 18526 19625 23600 29500 31400 37052 39250 46315 59000 62800 74104 78500 92630 109097 118000 148208 157000 185260 218194 231575 314000 370520 436388 463150 545485 741040 872776 926300 1090970 1157875 1745552 1852600 2181940 2315750 2727425 3705200 4363880 4631500 5454850 6436723 8727760 9263000 10909700 12873446 13637125 17128229 18526000 21819400 25746892 27274250 32183615 34256458 43638800 51493784 54548500 64367230 68512916 85641145 102987568 109097000 128734460 137025832 160918075 171282290 218194000 257468920 274051664 321836150 342564580 428205725 514937840 643672300 685129160 804590375 856411450 1010565511 1287344600 1370258320 1609180750 1712822900 2021131022 2141028625 2574689200 3218361500 3425645800 4042262044 4282057250 5052827555 6436723000 6851291600 8084524088 8564114500 10105655110 12873446000 16169048176 17128229000 20211310220 25264137775 34256458000 40422620440 50528275550 80845240880 101056551100 126320688875 202113102200 252641377750 404226204400 505282755500 1010565511000 2021131022000