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111225444420 = 22356737374177
BaseRepresentation
bin110011110010110001…
…1011001100001000100
3101122002111022000002110
41213211203121201010
53310242203210140
6123032443141020
711015161451466
oct1474543314104
9348074260073
10111225444420
11431969556a2
1219681214770
13a64735c94c
145551c58136
152d5e9ac380
hex19e58d9844

111225444420 has 96 divisors (see below), whose sum is σ = 316931142528. Its totient is φ = 29138706432.

The previous prime is 111225444419. The next prime is 111225444439. The reversal of 111225444420 is 24444522111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1462372 + ... + 1536548.

It is an arithmetic number, because the mean of its divisors is an integer number (3301366068).

Almost surely, 2111225444420 is an apocalyptic number.

111225444420 is a gapful number since it is divisible by the number (10) 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 111225444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158465571264).

111225444420 is an abundant number, since it is smaller than the sum of its proper divisors (205705698108).

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

111225444420 is a wasteful number, since it uses less digits than its factorization.

111225444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74629 (or 74627 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 111225444420 its reverse (24444522111), we get a palindrome (135669966531).

The spelling of 111225444420 in words is "one hundred eleven billion, two hundred twenty-five million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 373 402 670 746 804 1005 1119 1340 1492 1865 2010 2238 3730 4020 4476 5595 7460 11190 22380 24991 49982 74177 74973 99964 124955 148354 149946 222531 249910 296708 299892 370885 374865 445062 499820 741770 749730 890124 1112655 1483540 1499460 2225310 4450620 4969859 9939718 14909577 19879436 24849295 27668021 29819154 49698590 55336042 59638308 74547885 83004063 99397180 110672084 138340105 149095770 166008126 276680210 298191540 332016252 415020315 553360420 830040630 1660081260 1853757407 3707514814 5561272221 7415029628 9268787035 11122544442 18537574070 22245088884 27806361105 37075148140 55612722210 111225444420