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2011210020 = 223356755589
BaseRepresentation
bin111011111100000…
…1010000100100100
312012011110001111000
41313320022010210
513104332210040
6531323113300
7100561001031
oct16770120444
95164401430
102011210020
11942303946
12481672830
132608a0901
14151176388
15bb879130
hex77e0a124

2011210020 has 96 divisors (see below), whose sum is σ = 6350601600. Its totient is φ = 528308352.

The previous prime is 2011210013. The next prime is 2011210031. The reversal of 2011210020 is 200121102.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2011209984 and 2011210011.

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, 8386 + ... + 63974.

It is an arithmetic number, because the mean of its divisors is an integer number (66152100).

Almost surely, 22011210020 is an apocalyptic number.

2011210020 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 2011210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175300800).

2011210020 is an abundant number, since it is smaller than the sum of its proper divisors (4339391580).

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

2011210020 is a wasteful number, since it uses less digits than its factorization.

2011210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55674 (or 55666 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011210020 is about 44846.5162526589. The cubic root of 2011210020 is about 1262.2706222498.

Adding to 2011210020 its reverse (200121102), we get a palindrome (2211331122).

The spelling of 2011210020 in words is "two billion, eleven million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 67 90 108 134 135 180 201 268 270 335 402 540 603 670 804 1005 1206 1340 1809 2010 2412 3015 3618 4020 6030 7236 9045 12060 18090 36180 55589 111178 166767 222356 277945 333534 500301 555890 667068 833835 1000602 1111780 1500903 1667670 2001204 2501505 3001806 3335340 3724463 5003010 6003612 7448926 7504515 10006020 11173389 14897852 15009030 18622315 22346778 30018060 33520167 37244630 44693556 55866945 67040334 74489260 100560501 111733890 134080668 167600835 201121002 223467780 335201670 402242004 502802505 670403340 1005605010 2011210020