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11214327712 = 2571715111949
BaseRepresentation
bin10100111000110110…
…10000111110100000
31001221112201212120211
422130123100332200
5140431331441322
65052441543504
7544621132660
oct123433207640
931845655524
1011214327712
114835217435
12220b7a4b94
13109945a293
147855421a0
154597c8b77
hex29c6d0fa0

11214327712 has 96 divisors (see below), whose sum is σ = 26747884800. Its totient is φ = 4518113280.

The previous prime is 11214327703. The next prime is 11214327713. The reversal of 11214327712 is 21772341211.

It is a happy number.

It is a super-2 number, since 2×112143277122 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11214327713) 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, 5752914 + ... + 5754862.

It is an arithmetic number, because the mean of its divisors is an integer number (278623800).

Almost surely, 211214327712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11214327712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373942400).

11214327712 is an abundant number, since it is smaller than the sum of its proper divisors (15533557088).

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

11214327712 is a wasteful number, since it uses less digits than its factorization.

11214327712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3486 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

Adding to 11214327712 its reverse (21772341211), we get a palindrome (32986668923).

The spelling of 11214327712 in words is "eleven billion, two hundred fourteen million, three hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1511 1904 1949 3022 3808 3898 6044 7796 10577 12088 13643 15592 21154 24176 25687 27286 31184 33133 42308 48352 51374 54572 62368 66266 84616 102748 109144 132532 169232 179809 205496 218288 231931 265064 338464 359618 410992 436576 463862 530128 719236 821984 927724 1060256 1438472 1855448 2876944 2944939 3710896 5753888 5889878 7421792 11779756 20614573 23559512 41229146 47119024 50063963 82458292 94238048 100127926 164916584 200255852 329833168 350447741 400511704 659666336 700895482 801023408 1401790964 1602046816 2803581928 5607163856 11214327712