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11243114112 = 273191540997
BaseRepresentation
bin10100111100010010…
…00100111010000000
31002000112220101002210
422132021010322000
5141011214122422
65055350542120
7545420615226
oct123611047200
932015811083
1011243114112
11484a49904a
122219367940
1310a23c8a59
147892b6b16
1545c0b310c
hex29e244e80

11243114112 has 64 divisors (see below), whose sum is σ = 31436359200. Its totient is φ = 3550454784.

The previous prime is 11243114089. The next prime is 11243114117. The reversal of 11243114112 is 21141134211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×112431141122 (a number of 21 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (11243114117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 763203 + ... + 777794.

Almost surely, 211243114112 is an apocalyptic number.

11243114112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11243114112 is an abundant number, since it is smaller than the sum of its proper divisors (20193245088).

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

11243114112 is a wasteful number, since it uses less digits than its factorization.

11243114112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541033 (or 1541021 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

Adding to 11243114112 its reverse (21141134211), we get a palindrome (32384248323).

The spelling of 11243114112 in words is "eleven billion, two hundred forty-three million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 1540997 3081994 4622991 6163988 9245982 12327976 18491964 24655952 29278943 36983928 49311904 58557886 73967856 87836829 98623808 117115772 147935712 175673658 197247616 234231544 295871424 351347316 468463088 591742848 702694632 936926176 1405389264 1873852352 2810778528 3747704704 5621557056 11243114112