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202100021112 = 2331117208721577
BaseRepresentation
bin1011110000111000011…
…0011001011101111000
3201022122200211210220010
42330032012121131320
511302400101133422
6232502104501520
720413140556353
oct2741606313570
9638580753803
10202100021112
117878a214140
1233202a7a8a0
131609a416812
149ad2d7529a
1553cc9e2b0c
hex2f0e199778

202100021112 has 128 divisors (see below), whose sum is σ = 583911037440. Its totient is φ = 57609646080.

The previous prime is 202100021111. The next prime is 202100021119. The reversal of 202100021112 is 211120001202.

It is a super-4 number, since 4×2021000211124 (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202100021111) 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, 9355668 + ... + 9377244.

It is an arithmetic number, because the mean of its divisors is an integer number (4561804980).

Almost surely, 2202100021112 is an apocalyptic number.

202100021112 is a gapful number since it is divisible by the number (22) 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 202100021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291955518720).

202100021112 is an abundant number, since it is smaller than the sum of its proper divisors (381811016328).

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

202100021112 is a wasteful number, since it uses less digits than its factorization.

202100021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23701 (or 23697 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 202100021112 its reverse (211120001202), we get a palindrome (413220022314).

The spelling of 202100021112 in words is "two hundred two billion, one hundred million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2087 2244 4174 4488 6261 8348 12522 16696 21577 22957 25044 35479 43154 45914 50088 64731 68871 70958 86308 91828 106437 129462 137742 141916 172616 183656 212874 237347 258924 275484 283832 366809 390269 425748 474694 517848 550968 712041 733618 780538 851496 949388 1100427 1170807 1424082 1467236 1561076 1898776 2200854 2341614 2848164 2934472 3122152 4034899 4401708 4683228 5696328 8069798 8803416 9366456 12104697 16139596 24209394 32279192 45031199 48418788 90062398 96837576 135093597 180124796 270187194 360249592 495343189 540374388 765530383 990686378 1080748776 1486029567 1531060766 1981372756 2296591149 2972059134 3062121532 3962745512 4593182298 5944118268 6124243064 8420834213 9186364596 11888236536 16841668426 18372729192 25262502639 33683336852 50525005278 67366673704 101050010556 202100021112