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2020331022000 = 243531731946369
BaseRepresentation
bin11101011001100101000…
…111001110011010110000
321011010211100020210000220
4131121211013032122300
5231100114220201000
64144043253213040
7265651454224464
oct35314507163260
97133740223026
102020331022000
117098aa212605
12287678931180
131186936abcc5
146dadab024a4
1537847d341a0
hex1d6651ce6b0

2020331022000 has 160 divisors (see below), whose sum is σ = 6551201142720. Its totient is φ = 535640473600.

The previous prime is 2020331021999. The next prime is 2020331022001. The reversal of 2020331022000 is 2201330202.

It is an interprime number because it is at equal distance from previous prime (2020331021999) and next prime (2020331022001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (2020331022001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64816 + ... + 2011184.

It is an arithmetic number, because the mean of its divisors is an integer number (40945007142).

Almost surely, 22020331022000 is an apocalyptic number.

2020331022000 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 2020331022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3275600571360).

2020331022000 is an abundant number, since it is smaller than the sum of its proper divisors (4530870120720).

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

2020331022000 is a wasteful number, since it uses less digits than its factorization.

2020331022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1946568 (or 1946552 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 2020331022000 its reverse (2201330202), we get a palindrome (2022532352202).

The spelling of 2020331022000 in words is "two trillion, twenty billion, three hundred thirty-one million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 173 200 240 250 300 346 375 400 500 519 600 692 750 865 1000 1038 1200 1384 1500 1730 2000 2076 2595 2768 3000 3460 4152 4325 5190 6000 6920 8304 8650 10380 12975 13840 17300 20760 21625 25950 34600 41520 43250 51900 64875 69200 86500 103800 129750 173000 207600 259500 346000 519000 1038000 1946369 3892738 5839107 7785476 9731845 11678214 15570952 19463690 23356428 29195535 31141904 38927380 46712856 48659225 58391070 77854760 93425712 97318450 116782140 145977675 155709520 194636900 233564280 243296125 291955350 336721837 389273800 467128560 486592250 583910700 673443674 729888375 778547600 973184500 1010165511 1167821400 1346887348 1459776750 1683609185 1946369000 2020331022 2335642800 2693774696 2919553500 3367218370 3892738000 4040662044 5050827555 5387549392 5839107000 6734436740 8081324088 8418045925 10101655110 11678214000 13468873480 16162648176 16836091850 20203310220 25254137775 26937746960 33672183700 40406620440 42090229625 50508275550 67344367400 80813240880 84180459250 101016551100 126270688875 134688734800 168360918500 202033102200 252541377750 336721837000 404066204400 505082755500 673443674000 1010165511000 2020331022000