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111448477921 = 114312892
BaseRepresentation
bin110011111001011011…
…0001101000011100001
3101122200000222021112111
41213302312031003201
53311221302243141
6123110531355321
711023540301104
oct1476266150341
9348600867474
10111448477921
11432a0840000
1219723a52b41
13a681620031
14557371473b
152d74366381
hex19f2d8d0e1

111448477921 has 45 divisors (see below), whose sum is σ = 128114034915. Its totient is φ = 96946845600.

The previous prime is 111448477909. The next prime is 111448477939. The reversal of 111448477921 is 129774844111.

The square root of 111448477921 is 333839.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 21400471521 + 90048006400 = 146289^2 + 300080^2 .

It is not a de Polignac number, because 111448477921 - 29 = 111448477409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111448477901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1252230045 + ... + 1252230133.

Almost surely, 2111448477921 is an apocalyptic number.

111448477921 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

111448477921 is the 333839-th square number.

111448477921 is the 166920-th centered octagonal number.

It is an amenable number.

111448477921 is a deficient number, since it is larger than the sum of its proper divisors (16665556994).

111448477921 is an frugal number, since it uses more digits than its factorization.

111448477921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 131 counting only the distinct ones).

The product of its digits is 451584, while the sum is 49.

Multiplying 111448477921 by its sum of digits (49), we get a square (5460975418129 = 23368732).

The spelling of 111448477921 in words is "one hundred eleven billion, four hundred forty-eight million, four hundred seventy-seven thousand, nine hundred twenty-one".

Divisors: 1 11 31 89 121 341 961 979 1331 2759 3751 7921 10571 10769 14641 30349 41261 85529 87131 116281 118459 245551 333839 453871 940819 958441 1279091 1303049 2701061 3672229 7612081 10349009 10542851 14070001 29711671 40394519 83732891 113839099 115971361 326828381 921061801 1252230089 3595112191 10131679811 111448477921