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11421111312 = 24321313744533
BaseRepresentation
bin10101010001100000…
…00101010000010000
31002110221211120100200
422220300011100100
5141342301030222
65125150015200
7553011562422
oct125060052020
932427746320
1011421111312
114930a12a76
122268aa7500
13110024b140
147a4bac812
1546ca22eac
hex2a8c05410

11421111312 has 120 divisors (see below), whose sum is σ = 34673994264. Its totient is φ = 3488458752.

The previous prime is 11421111287. The next prime is 11421111329. The reversal of 11421111312 is 21311112411.

It can be written as a sum of positive squares in 4 ways, for example, as 877107456 + 10544003856 = 29616^2 + 102684^2 .

It is a super-2 number, since 2×114211113122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

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, 234198 + ... + 278730.

Almost surely, 211421111312 is an apocalyptic number.

11421111312 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 11421111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336997132).

11421111312 is an abundant number, since it is smaller than the sum of its proper divisors (23252882952).

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

11421111312 is a wasteful number, since it uses less digits than its factorization.

11421111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44697 (or 44688 counting only the distinct ones).

The product of its digits is 48, while the sum is 18.

Adding to 11421111312 its reverse (21311112411), we get a palindrome (32732223723).

The spelling of 11421111312 in words is "eleven billion, four hundred twenty-one million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 137 144 156 208 234 274 312 411 468 548 624 822 936 1096 1233 1644 1781 1872 2192 2466 3288 3562 4932 5343 6576 7124 9864 10686 14248 16029 19728 21372 28496 32058 42744 44533 64116 85488 89066 128232 133599 178132 256464 267198 356264 400797 534396 578929 712528 801594 1068792 1157858 1603188 1736787 2137584 2315716 3206376 3473574 4631432 5210361 6101021 6412752 6947148 9262864 10420722 12202042 13894296 18303063 20841444 24404084 27788592 36606126 41682888 48808168 54909189 73212252 79313273 83365776 97616336 109818378 146424504 158626546 219636756 237939819 292849008 317253092 439273512 475879638 634506184 713819457 878547024 951759276 1269012368 1427638914 1903518552 2855277828 3807037104 5710555656 11421111312