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1110113004 = 2237111327109
BaseRepresentation
bin100001000101010…
…1111101011101100
32212100212120202110
41002022233223230
54233142104004
6302053324020
736336543030
oct10212575354
92770776673
101110113004
1151a6a2370
1226b936610
13148cb1b00
14a76121c0
15676d2589
hex422afaec

1110113004 has 144 divisors (see below), whose sum is σ = 3497437440. Its totient is φ = 266123520.

The previous prime is 1110113003. The next prime is 1110113047. The reversal of 1110113004 is 4003110111.

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

It is not an unprimeable number, because it can be changed into a prime (1110113003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152602 + ... + 159710.

It is an arithmetic number, because the mean of its divisors is an integer number (24287760).

Almost surely, 21110113004 is an apocalyptic number.

1110113004 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 1110113004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748718720).

1110113004 is an abundant number, since it is smaller than the sum of its proper divisors (2387324436).

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

1110113004 is a wasteful number, since it uses less digits than its factorization.

1110113004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 7145 counting only the distinct ones).

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

The square root of 1110113004 is about 33318.3583629206. The cubic root of 1110113004 is about 1035.4339406545.

Adding to 1110113004 its reverse (4003110111), we get a palindrome (5113223115).

The spelling of 1110113004 in words is "one billion, one hundred ten million, one hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 169 182 231 273 286 308 338 364 429 462 507 546 572 676 858 924 1001 1014 1092 1183 1716 1859 2002 2028 2366 3003 3549 3718 4004 4732 5577 6006 7098 7109 7436 11154 12012 13013 14196 14218 21327 22308 26026 28436 39039 42654 49763 52052 78078 78199 85308 92417 99526 149289 156156 156398 184834 199052 234597 277251 298578 312796 369668 469194 547393 554502 597156 646919 938388 1016587 1094786 1109004 1201421 1293838 1642179 1940757 2033174 2189572 2402842 2587676 3049761 3284358 3604263 3881514 4066348 4805684 6099522 6568716 7116109 7208526 7763028 8409947 12199044 13215631 14232218 14417052 16819894 21348327 25229841 26431262 28464436 33639788 39646893 42696654 50459682 52862524 79293786 85393308 92509417 100919364 158587572 185018834 277528251 370037668 555056502 1110113004