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1111301412 = 22313219151191
BaseRepresentation
bin100001000111101…
…0001110100100100
32212110002221221120
41002033101310210
54233443121122
6302135013540
736352622544
oct10217216444
92773087846
101111301412
11520334221
1227020a2b0
13149309a00
14a7841324
156786975c
hex423d1d24

1111301412 has 144 divisors (see below), whose sum is σ = 2990776320. Its totient is φ = 320112000.

The previous prime is 1111301377. The next prime is 1111301467. The reversal of 1111301412 is 2141031111.

It is a junction number, because it is equal to n+sod(n) for n = 1111301391 and 1111301400.

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 47 ways as a sum of consecutive naturals, for example, 5818237 + ... + 5818427.

It is an arithmetic number, because the mean of its divisors is an integer number (20769280).

Almost surely, 21111301412 is an apocalyptic number.

1111301412 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 1111301412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495388160).

1111301412 is an abundant number, since it is smaller than the sum of its proper divisors (1879474908).

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

1111301412 is a wasteful number, since it uses less digits than its factorization.

1111301412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 379 counting only the distinct ones).

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

The square root of 1111301412 is about 33336.1877244534. The cubic root of 1111301412 is about 1035.8032961866.

Adding to 1111301412 its reverse (2141031111), we get a palindrome (3252332523).

The spelling of 1111301412 in words is "one billion, one hundred eleven million, three hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 151 156 169 191 228 247 302 338 382 453 494 507 573 604 676 741 764 906 988 1014 1146 1482 1812 1963 2028 2292 2483 2869 2964 3211 3629 3926 4966 5738 5889 6422 7258 7449 7852 8607 9633 9932 10887 11476 11778 12844 14516 14898 17214 19266 21774 23556 25519 28841 29796 32279 34428 37297 38532 43548 47177 51038 57682 64558 74594 76557 86523 94354 96837 102076 111891 115364 129116 141531 149188 153114 173046 188708 193674 223782 283062 306228 346092 374933 387348 447564 484861 547979 566124 613301 749866 969722 1095958 1124799 1226602 1454583 1499732 1643937 1839903 1939444 2191916 2249598 2453204 2909166 3287874 3679806 4499196 4874129 5818332 6575748 7123727 7359612 9748258 14247454 14622387 19496516 21371181 28494908 29244774 42742362 58489548 85484724 92608451 185216902 277825353 370433804 555650706 1111301412