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1113111312 = 2431723127467
BaseRepresentation
bin100001001011000…
…1011101100010000
32212120111220122220
41002112023230100
54234424030222
6302241501040
736404201325
oct10226135420
92776456586
101113111312
11521360005
12270941780
131497c1761
14a7b92b4c
1567ac5b5c
hex4258bb10

1113111312 has 160 divisors (see below), whose sum is σ = 3208937472. Its totient is φ = 330688512.

The previous prime is 1113111283. The next prime is 1113111319. The reversal of 1113111312 is 2131113111.

It is a super-2 number, since 2×11131113122 = 2478033585804722688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1113111291 and 1113111300.

It is not an unprimeable number, because it can be changed into a prime (1113111319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2383303 + ... + 2383769.

Almost surely, 21113111312 is an apocalyptic number.

1113111312 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 1113111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604468736).

1113111312 is an abundant number, since it is smaller than the sum of its proper divisors (2095826160).

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

1113111312 is a wasteful number, since it uses less digits than its factorization.

1113111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its digits is 18, while the sum is 15.

The square root of 1113111312 is about 33363.3228560945. The cubic root of 1113111312 is about 1036.3653050030.

Adding to 1113111312 its reverse (2131113111), we get a palindrome (3244224423).

The spelling of 1113111312 in words is "one billion, one hundred thirteen million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 127 136 138 184 204 254 272 276 368 381 391 408 467 508 552 762 782 816 934 1016 1104 1173 1401 1524 1564 1868 2032 2159 2346 2802 2921 3048 3128 3736 4318 4692 5604 5842 6096 6256 6477 7472 7939 8636 8763 9384 10741 11208 11684 12954 15878 17272 17526 18768 21482 22416 23368 23817 25908 31756 32223 34544 35052 42964 46736 47634 49657 51816 59309 63512 64446 70104 85928 95268 99314 103632 118618 127024 128892 140208 148971 171856 177927 182597 190536 198628 237236 257784 297942 355854 365194 381072 397256 474472 515568 547791 595884 711708 730388 794512 948944 1008253 1095582 1191768 1364107 1423416 1460776 2016506 2191164 2383536 2728214 2846832 2921552 3024759 4033012 4092321 4382328 5456428 6049518 8066024 8184642 8764656 10912856 12099036 16132048 16369284 21825712 23189819 24198072 32738568 46379638 48396144 65477136 69569457 92759276 139138914 185518552 278277828 371037104 556555656 1113111312