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13111443312 = 2431199724907
BaseRepresentation
bin11000011011000000…
…01011111101110000
31020211202111022221120
430031200023331300
5203323012141222
610005011422240
7642625300152
oct141540137560
936752438846
1013111443312
115619082470
12265abb4980
13130c4c0ca6
148c5498ad2
1551b11715c
hex30d80bf70

13111443312 has 80 divisors (see below), whose sum is σ = 36988977792. Its totient is φ = 3969020160.

The previous prime is 13111443311. The next prime is 13111443329. The reversal of 13111443312 is 21334411131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111443311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513963 + ... + 538869.

Almost surely, 213111443312 is an apocalyptic number.

13111443312 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 13111443312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18494488896).

13111443312 is an abundant number, since it is smaller than the sum of its proper divisors (23877534480).

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

13111443312 is a wasteful number, since it uses less digits than its factorization.

13111443312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25926 (or 25920 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 13111443312 its reverse (21334411131), we get a palindrome (34445854443).

The spelling of 13111443312 in words is "thirteen billion, one hundred eleven million, four hundred forty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 997 1994 2991 3988 5982 7976 10967 11964 15952 21934 23928 24907 32901 43868 47856 49814 65802 74721 87736 99628 131604 149442 175472 199256 263208 273977 298884 398512 526416 547954 597768 821931 1095908 1195536 1643862 2191816 3287724 4383632 6575448 13150896 24832279 49664558 74496837 99329116 148993674 198658232 273155069 297987348 397316464 546310138 595974696 819465207 1092620276 1191949392 1638930414 2185240552 3277860828 4370481104 6555721656 13111443312