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202201110020 = 225713199558289
BaseRepresentation
bin1011110001010000100…
…0000001011000000100
3201022220202001122210202
42330110020001120010
511303101441010040
6232520115310032
720415506035250
oct2742410013004
9638822048722
10202201110020
1178831289798
12332308ab318
13160b534bb40
149b0256b260
1553d6810015
hex2f14201604

202201110020 has 96 divisors (see below), whose sum is σ = 525239232000. Its totient is φ = 63671629824.

The previous prime is 202201109993. The next prime is 202201110037. The reversal of 202201110020 is 20011102202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 202201109983 and 202201110010.

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, 83036 + ... + 641324.

It is an arithmetic number, because the mean of its divisors is an integer number (5471242000).

Almost surely, 2202201110020 is an apocalyptic number.

202201110020 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 202201110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262619616000).

202201110020 is an abundant number, since it is smaller than the sum of its proper divisors (323038121980).

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

202201110020 is a wasteful number, since it uses less digits than its factorization.

202201110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558517 (or 558515 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202201110020 its reverse (20011102202), we get a palindrome (222212212222).

The spelling of 202201110020 in words is "two hundred two billion, two hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 199 260 364 398 455 796 910 995 1393 1820 1990 2587 2786 3980 5174 5572 6965 10348 12935 13930 18109 25870 27860 36218 51740 72436 90545 181090 362180 558289 1116578 2233156 2791445 3908023 5582890 7257757 7816046 11165780 14515514 15632092 19540115 29031028 36288785 39080230 50804299 72577570 78160460 101608598 111099511 145155140 203217196 222199022 254021495 444398044 508042990 555497555 777696577 1016085980 1110995110 1444293643 1555393154 2221990220 2888587286 3110786308 3888482885 5777174572 7221468215 7776965770 10110055501 14442936430 15553931540 20220111002 28885872860 40440222004 50550277505 101100555010 202201110020