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1112118084 = 2232711616577
BaseRepresentation
bin100001001001001…
…1001001101000100
32212111122110012200
41002102121031010
54234200234314
6302204314500
736362563530
oct10222311504
92774573180
101112118084
11520841860
12270542a30
1314953464c
14a79b4bc0
156797b709
hex42499344

1112118084 has 144 divisors (see below), whose sum is σ = 3562855296. Its totient is φ = 284083200.

The previous prime is 1112118083. The next prime is 1112118097. The reversal of 1112118084 is 4808112111.

It is not an unprimeable number, because it can be changed into a prime (1112118083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165804 + ... + 172380.

Almost surely, 21112118084 is an apocalyptic number.

1112118084 is a gapful number since it is divisible by the number (14) 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 1112118084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781427648).

1112118084 is an abundant number, since it is smaller than the sum of its proper divisors (2450737212).

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

1112118084 is a wasteful number, since it uses less digits than its factorization.

1112118084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6666 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The square root of 1112118084 is about 33348.4345059854. The cubic root of 1112118084 is about 1036.0569640667.

The spelling of 1112118084 in words is "one billion, one hundred twelve million, one hundred eighteen thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 61 63 66 77 84 99 122 126 132 154 183 198 231 244 252 308 366 396 427 462 549 671 693 732 854 924 1098 1281 1342 1386 1708 2013 2196 2562 2684 2772 3843 4026 4697 5124 6039 6577 7686 8052 9394 12078 13154 14091 15372 18788 19731 24156 26308 28182 39462 42273 46039 56364 59193 72347 78924 84546 92078 118386 138117 144694 169092 184156 217041 236772 276234 289388 401197 414351 434082 506429 552468 651123 802394 828702 868164 1012858 1203591 1302246 1519287 1604788 1657404 2025716 2407182 2604492 2808379 3038574 3610773 4413167 4557861 4814364 5616758 6077148 7221546 8425137 8826334 9115722 11233516 13239501 14443092 16850274 17652668 18231444 25275411 26479002 30892169 33700548 39718503 50550822 52958004 61784338 79437006 92676507 101101644 123568676 158874012 185353014 278029521 370706028 556059042 1112118084