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2112020988 = 2237118327539
BaseRepresentation
bin111110111100010…
…1110000111111100
312110012010210010120
41331320232013330
513311134132423
6545323534540
7103223611410
oct17570560774
95405123116
102112020988
119941a96a0
124ab38a450
1327873957c
141606d8d40
15c563dee3
hex7de2e1fc

2112020988 has 96 divisors (see below), whose sum is σ = 6218311680. Its totient is φ = 541947840.

The previous prime is 2112020983. The next prime is 2112021001. The reversal of 2112020988 is 8890202112.

It is a super-2 number, since 2×21120209882 = 8921265307504992288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112020983) 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, 62923 + ... + 90461.

It is an arithmetic number, because the mean of its divisors is an integer number (64774080).

Almost surely, 22112020988 is an apocalyptic number.

2112020988 is a gapful number since it is divisible by the number (28) 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 2112020988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109155840).

2112020988 is an abundant number, since it is smaller than the sum of its proper divisors (4106290692).

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

2112020988 is a wasteful number, since it uses less digits than its factorization.

2112020988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27647 (or 27645 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 2112020988 is about 45956.7295181021. The cubic root of 2112020988 is about 1283.0179819672.

The spelling of 2112020988 in words is "two billion, one hundred twelve million, twenty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 83 84 132 154 166 231 249 308 332 462 498 581 913 924 996 1162 1743 1826 2324 2739 3486 3652 5478 6391 6972 10956 12782 19173 25564 27539 38346 55078 76692 82617 110156 165234 192773 302929 330468 385546 578319 605858 771092 908787 1156638 1211716 1817574 2120503 2285737 2313276 3635148 4241006 4571474 6361509 6857211 8482012 9142948 12723018 13714422 16000159 25143107 25446036 27428844 32000318 48000477 50286214 64000636 75429321 96000954 100572428 150858642 176001749 192001908 301717284 352003498 528005247 704006996 1056010494 2112020988