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1110311412 = 223717245737
BaseRepresentation
bin100001000101110…
…0000000111110100
32212101020122220220
41002023200013310
54233214431122
6302101454340
736341330340
oct10213400764
92771218826
101110311412
1151a818441
1226ba113b0
13149051202
14a7664620
156772125c
hex422e01f4

1110311412 has 72 divisors (see below), whose sum is σ = 3145310784. Its totient is φ = 298564608.

The previous prime is 1110311399. The next prime is 1110311413. The reversal of 1110311412 is 2141130111.

It is a junction number, because it is equal to n+sod(n) for n = 1110311391 and 1110311400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110311413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1408 + ... + 47144.

It is an arithmetic number, because the mean of its divisors is an integer number (43684872).

Almost surely, 21110311412 is an apocalyptic number.

1110311412 is a gapful number since it is divisible by the number (12) 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 1110311412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572655392).

1110311412 is an abundant number, since it is smaller than the sum of its proper divisors (2034999372).

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

1110311412 is a wasteful number, since it uses less digits than its factorization.

1110311412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45785 (or 45766 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1110311412 is about 33321.3356875141. The cubic root of 1110311412 is about 1035.4956239061.

Adding to 1110311412 its reverse (2141130111), we get a palindrome (3251441523).

The spelling of 1110311412 in words is "one billion, one hundred ten million, three hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 578 714 867 1156 1428 1734 2023 3468 4046 6069 8092 12138 24276 45737 91474 137211 182948 274422 320159 548844 640318 777529 960477 1280636 1555058 1920954 2332587 3110116 3841908 4665174 5442703 9330348 10885406 13217993 16328109 21770812 26435986 32656218 39653979 52871972 65312436 79307958 92525951 158615916 185051902 277577853 370103804 555155706 1110311412