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20212201000 = 2353173113823
BaseRepresentation
bin10010110100101111…
…011011011000101000
31221011121211012022001
4102310233123120220
5312343310413000
613141345340344
71313606605465
oct226457333050
957147735261
1020212201000
118632295852
123b010376b4
131ba1644564
14d9a56266c
157d46d546a
hex4b4bdb628

20212201000 has 128 divisors (see below), whose sum is σ = 50252866560. Its totient is φ = 7582848000.

The previous prime is 20212200959. The next prime is 20212201001. The reversal of 20212201000 is 10221202.

It is a super-3 number, since 3×202122010003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20212201001) 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, 5285089 + ... + 5288911.

It is an arithmetic number, because the mean of its divisors is an integer number (392600520).

Almost surely, 220212201000 is an apocalyptic number.

20212201000 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 20212201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25126433280).

20212201000 is an abundant number, since it is smaller than the sum of its proper divisors (30040665560).

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

20212201000 is a wasteful number, since it uses less digits than its factorization.

20212201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20212201000 its reverse (10221202), we get a palindrome (20222422202).

The spelling of 20212201000 in words is "twenty billion, two hundred twelve million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 311 340 425 500 622 680 850 1000 1244 1555 1700 2125 2488 3110 3400 3823 4250 5287 6220 7646 7775 8500 10574 12440 15292 15550 17000 19115 21148 26435 30584 31100 38230 38875 42296 52870 62200 64991 76460 77750 95575 105740 129982 132175 152920 155500 191150 211480 259964 264350 311000 324955 382300 477875 519928 528700 649910 660875 764600 955750 1057400 1188953 1299820 1321750 1624775 1911500 2377906 2599640 2643500 3249550 3823000 4755812 5287000 5944765 6499100 8123875 9511624 11889530 12998200 16247750 20212201 23779060 29723825 32495500 40424402 47558120 59447650 64991000 80848804 101061005 118895300 148619125 161697608 202122010 237790600 297238250 404244020 505305025 594476500 808488040 1010610050 1188953000 2021220100 2526525125 4042440200 5053050250 10106100500 20212201000