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1112131101114 = 2371173316637
BaseRepresentation
bin10000001011110000001…
…011011110000110111010
310221022121022212120000000
4100023300023132012322
5121210121030213424
62210523405053430
7143230434246165
oct20136013360672
93838538776000
101112131101114
1139971a0168a0
1215b656557276
1380b48152807
143bb82690adc
151dde09bb3c9
hex102f02de1ba

1112131101114 has 128 divisors (see below), whose sum is σ = 2766757512960. Its totient is φ = 332391807360.

The previous prime is 1112131101101. The next prime is 1112131101127. The reversal of 1112131101114 is 4111011312111.

It is an interprime number because it is at equal distance from previous prime (1112131101101) and next prime (1112131101127).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3354004 + ... + 3670640.

It is an arithmetic number, because the mean of its divisors is an integer number (21615293070).

Almost surely, 21112131101114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112131101114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383378756480).

1112131101114 is an abundant number, since it is smaller than the sum of its proper divisors (1654626411846).

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

1112131101114 is an equidigital number, since it uses as much as digits as its factorization.

1112131101114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316744 (or 316726 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 1112131101114 its reverse (4111011312111), we get a palindrome (5223142413225).

The spelling of 1112131101114 in words is "one trillion, one hundred twelve billion, one hundred thirty-one million, one hundred one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 73 81 99 146 162 198 219 243 297 438 486 594 657 729 803 891 1314 1458 1606 1782 1971 2187 2409 2673 3942 4374 4818 5346 5913 7227 8019 11826 14454 16038 17739 21681 24057 35478 43362 48114 53217 65043 106434 130086 159651 195129 316637 319302 390258 585387 633274 949911 1170774 1756161 1899822 2849733 3483007 3512322 5699466 6966014 8549199 10449021 17098398 20898042 23114501 25647597 31347063 46229002 51295194 62694126 69343503 76942791 94041189 138687006 153885582 188082378 208030509 230828373 254259511 282123567 416061018 461656746 508519022 564247134 624091527 692485119 762778533 846370701 1248183054 1384970238 1525557066 1692741402 1872274581 2288335599 2539112103 3744549162 4576671198 5078224206 5616823743 6865006797 7617336309 11233647486 13730013594 15234672618 16850471229 20595020391 33700942458 41190040782 50551413687 61785061173 101102827374 123570122346 185355183519 370710367038 556065550557 1112131101114