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110413225524 = 223719241287059
BaseRepresentation
bin110011011010100100…
…1000001111000110100
3101112222212222000020010
41212311021001320310
53302111241204044
6122420110340220
710656066634410
oct1466511017064
9345885860203
10110413225524
114290a429608
12194951ba670
13a547cbc254
1454b602bd40
152d1351ebb9
hex19b5241e34

110413225524 has 96 divisors (see below), whose sum is σ = 311218969600. Its totient is φ = 29762173440.

The previous prime is 110413225493. The next prime is 110413225567. The reversal of 110413225524 is 425522314011.

It is a super-2 number, since 2×1104132255242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110413225491 and 110413225500.

It is a congruent number.

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, 241107 + ... + 528165.

Almost surely, 2110413225524 is an apocalyptic number.

110413225524 is a gapful number since it is divisible by the number (14) 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 110413225524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155609484800).

110413225524 is an abundant number, since it is smaller than the sum of its proper divisors (200805744076).

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

110413225524 is a wasteful number, since it uses less digits than its factorization.

110413225524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287333 (or 287331 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 110413225524 its reverse (425522314011), we get a palindrome (535935539535).

The spelling of 110413225524 in words is "one hundred ten billion, four hundred thirteen million, two hundred twenty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 241 266 399 482 532 723 798 964 1446 1596 1687 2892 3374 4579 5061 6748 9158 10122 13737 18316 20244 27474 32053 54948 64106 96159 128212 192318 287059 384636 574118 861177 1148236 1722354 2009413 3444708 4018826 5454121 6028239 8037652 10908242 12056478 16362363 21816484 24112956 32724726 38178847 65449452 69181219 76357694 114536541 138362438 152715388 207543657 229073082 276724876 415087314 458146164 484268533 830174628 968537066 1314443161 1452805599 1937074132 2628886322 2905611198 3943329483 5257772644 5811222396 7886658966 9201102127 15773317932 18402204254 27603306381 36804408508 55206612762 110413225524