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11031111312 = 2431324728933
BaseRepresentation
bin10100100011000000…
…10110011010010000
31001110202222111221020
422101200112122100
5140042431030222
65022334555440
7540234620244
oct122140263220
931422874836
1011031111312
114750858221
12217a368b80
13106a4cb400
1476908c424
1544868765c
hex291816690

11031111312 has 120 divisors (see below), whose sum is σ = 31515375744. Its totient is φ = 3321856512.

The previous prime is 11031111209. The next prime is 11031111337. The reversal of 11031111312 is 21311113011.

It is a super-2 number, since 2×110311113122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11031111291 and 11031111300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366798 + ... + 395730.

Almost surely, 211031111312 is an apocalyptic number.

11031111312 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 11031111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757687872).

11031111312 is an abundant number, since it is smaller than the sum of its proper divisors (20484264432).

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

11031111312 is a wasteful number, since it uses less digits than its factorization.

11031111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29017 (or 28998 counting only the distinct ones).

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

Adding to 11031111312 its reverse (21311113011), we get a palindrome (32342224323).

The spelling of 11031111312 in words is "eleven billion, thirty-one million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 169 188 208 282 312 338 376 507 564 611 624 676 752 1014 1128 1222 1352 1833 2028 2256 2444 2704 3666 4056 4888 7332 7943 8112 9776 14664 15886 23829 28933 29328 31772 47658 57866 63544 86799 95316 115732 127088 173598 190632 231464 347196 376129 381264 462928 694392 752258 1128387 1359851 1388784 1504516 2256774 2719702 3009032 4079553 4513548 4889677 5439404 6018064 8159106 9027096 9779354 10878808 14669031 16318212 17678063 18054192 19558708 21757616 29338062 32636424 35356126 39117416 53034189 58676124 65272848 70712252 78234832 106068378 117352248 141424504 212136756 229814819 234704496 282849008 424273512 459629638 689444457 848547024 919259276 1378888914 1838518552 2757777828 3677037104 5515555656 11031111312