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202121101112 = 23717718933599
BaseRepresentation
bin1011110000111101011…
…0110011111100111000
3201022201011111210012212
42330033112303330320
511302421000213422
6232504140354252
720413515004160
oct2741726637470
9638634453185
10202121101112
11787a0101927
1233209b45988
13160a18b76a8
149ad5aa15a0
1553ce7a89e2
hex2f0f5b3f38

202121101112 has 128 divisors (see below), whose sum is σ = 470292480000. Its totient is φ = 79474053120.

The previous prime is 202121101097. The next prime is 202121101153. The reversal of 202121101112 is 211101121202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5998889 + ... + 6032487.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160000).

Almost surely, 2202121101112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202121101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235146240000).

202121101112 is an abundant number, since it is smaller than the sum of its proper divisors (268171378888).

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

202121101112 is a wasteful number, since it uses less digits than its factorization.

202121101112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33789 (or 33785 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 202121101112 its reverse (211101121202), we get a palindrome (413222222314).

The spelling of 202121101112 in words is "two hundred two billion, one hundred twenty-one million, one hundred one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 71 89 119 136 142 178 238 284 356 476 497 568 623 712 952 994 1207 1246 1513 1988 2414 2492 3026 3976 4828 4984 6052 6319 8449 9656 10591 12104 12638 16898 21182 25276 33599 33796 42364 44233 50552 67198 67592 84728 88466 107423 134396 176932 214846 235193 268792 353864 429692 470386 571183 751961 859384 940772 1142366 1503922 1881544 2284732 2385529 2990311 3007844 3998281 4569464 4771058 5980622 6015688 7996562 9542116 11961244 15993124 16698703 19084232 20932177 23922488 31986248 33397406 40553993 41864354 50835287 66794812 81107986 83728708 101670574 133589624 162215972 167457416 203341148 212312081 283877951 324431944 355847009 406682296 424624162 567755902 711694018 849248324 1135511804 1423388036 1486184567 1698496648 2271023608 2846776072 2972369134 3609305377 5944738268 7218610754 11889476536 14437221508 25265137639 28874443016 50530275278 101060550556 202121101112