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202121211120 = 24351944324827
BaseRepresentation
bin1011110000111101011…
…1001110110011110000
3201022201011201101010020
42330033113032303300
511302421012223440
6232504143003440
720413515642663
oct2741727166360
9638634641106
10202121211120
11787a0177544
1233209b99580
13160a192579a
149ad5acd6da
1553ce7cb3d0
hex2f0f5cecf0

202121211120 has 80 divisors (see below), whose sum is σ = 659553440640. Its totient is φ = 51062199552.

The previous prime is 202121211113. The next prime is 202121211133. The reversal of 202121211120 is 21112121202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2021212111202 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 202121211120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22157854 + ... + 22166973.

It is an arithmetic number, because the mean of its divisors is an integer number (8244418008).

Almost surely, 2202121211120 is an apocalyptic number.

202121211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202121211120 is an abundant number, since it is smaller than the sum of its proper divisors (457432229520).

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

202121211120 is a wasteful number, since it uses less digits than its factorization.

202121211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44324862 (or 44324856 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 202121211120 its reverse (21112121202), we get a palindrome (223233332322).

The spelling of 202121211120 in words is "two hundred two billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 44324827 88649654 132974481 177299308 221624135 265948962 354598616 443248270 531897924 664872405 709197232 842171713 886496540 1063795848 1329744810 1684343426 1772993080 2127591696 2526515139 2659489620 3368686852 3545986160 4210858565 5053030278 5318979240 6737373704 8421717130 10106060556 10637958480 12632575695 13474747408 16843434260 20212121112 25265151390 33686868520 40424242224 50530302780 67373737040 101060605560 202121211120