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111432331241 = 72111923267307
BaseRepresentation
bin110011111000111100…
…0100110111111101001
3101122121220120221110022
41213301320212333221
53311203134044431
6123105153330225
711023253121200
oct1476170467751
9348556527408
10111432331241
1143292711840
121971a566975
13a67b18879a
145571510237
152d72c2707b
hex19f1e26fe9

111432331241 has 144 divisors (see below), whose sum is σ = 158442197760. Its totient is φ = 77256970560.

The previous prime is 111432331223. The next prime is 111432331291. The reversal of 111432331241 is 142133234111.

It is not a de Polignac number, because 111432331241 - 226 = 111365222377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111432331241.

It is not an unprimeable number, because it can be changed into a prime (111432331291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 362971610 + ... + 362971916.

It is an arithmetic number, because the mean of its divisors is an integer number (1100293040).

Almost surely, 2111432331241 is an apocalyptic number.

111432331241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111432331241 is a deficient number, since it is larger than the sum of its proper divisors (47009866519).

111432331241 is a wasteful number, since it uses less digits than its factorization.

111432331241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 434 counting only the distinct ones).

The product of its digits is 1728, while the sum is 26.

Adding to 111432331241 its reverse (142133234111), we get a palindrome (253565565352).

The spelling of 111432331241 in words is "one hundred eleven billion, four hundred thirty-two million, three hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 7 11 19 23 49 67 77 133 161 209 253 307 437 469 529 539 737 931 1127 1273 1463 1541 1771 2149 3059 3283 3377 3703 4807 5159 5819 5833 7061 8911 10051 10241 10787 12397 14003 15043 16951 20569 21413 23639 25921 29279 33649 35443 36113 40733 40831 49427 62377 64163 70357 75509 77671 98021 110561 118657 134159 143983 162403 165473 204953 226259 235543 248101 285131 285817 322069 345989 389873 390811 449141 473087 492499 543697 673417 686147 773927 830599 939113 1007881 1136821 1434671 1475749 1583813 1736707 1786433 2254483 2729111 2735677 3085657 3143987 3311609 3805879 4298921 4713919 5203957 5417489 6573791 7407587 7957747 8988653 10330243 10881001 11086691 12505031 15781381 19103777 19149739 21599599 23181263 30092447 32997433 33942227 36427699 51853109 62920571 72311701 76167007 87535217 98875183 119691011 151197193 206739019 210647129 237595589 254993893 362971763 440443997 533169049 692126281 837837077 1447173133 1663169123 2274129209 4844883967 5864859539 10130211931 15918904463 111432331241