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2231012112 = 24378379999
BaseRepresentation
bin1000010011111010…
…1000101100010000
312202111001011021020
42010332220230100
514032114341422
61005214155440
7106200201330
oct20476505420
95674034236
102231012112
11a4539146a
125231b2b80
1329729c214
141724310c0
15d0ce595c
hex84fa8b10

2231012112 has 80 divisors (see below), whose sum is σ = 6666240000. Its totient is φ = 629744256.

The previous prime is 2231012101. The next prime is 2231012141. The reversal of 2231012112 is 2112101322.

It is a super-3 number, since 3×22310121123 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2231012091 and 2231012100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12112 + ... + 67887.

It is an arithmetic number, because the mean of its divisors is an integer number (83328000).

Almost surely, 22231012112 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 2231012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120000).

2231012112 is an abundant number, since it is smaller than the sum of its proper divisors (4435227888).

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

2231012112 is a wasteful number, since it uses less digits than its factorization.

2231012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80100 (or 80094 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2231012112 is about 47233.5909284907. The cubic root of 2231012112 is about 1306.6741795810.

Adding to 2231012112 its reverse (2112101322), we get a palindrome (4343113434).

The spelling of 2231012112 in words is "two billion, two hundred thirty-one million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 83 84 112 166 168 249 332 336 498 581 664 996 1162 1328 1743 1992 2324 3486 3984 4648 6972 9296 13944 27888 79999 159998 239997 319996 479994 559993 639992 959988 1119986 1279984 1679979 1919976 2239972 3359958 3839952 4479944 6639917 6719916 8959888 13279834 13439832 19919751 26559668 26879664 39839502 46479419 53119336 79679004 92958838 106238672 139438257 159358008 185917676 278876514 318716016 371835352 557753028 743670704 1115506056 2231012112