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110430423396 = 223271191226201
BaseRepresentation
bin110011011011000101…
…0101000100101100100
3101120001002022202021100
41212312022220211210
53302130142022041
6122421523120100
710656366053106
oct1466612504544
9346032282240
10110430423396
1142919105627
121949ab13030
13a54b7310c7
1454b8427576
152d14cba6b6
hex19b62a8964

110430423396 has 72 divisors (see below), whose sum is σ = 284558496768. Its totient is φ = 36101520000.

The previous prime is 110430423391. The next prime is 110430423409. The reversal of 110430423396 is 693324034011.

110430423396 is a `hidden beast` number, since 1 + 10 + 4 + 304 + 2 + 339 + 6 = 666.

It is a super-2 number, since 2×1104304233962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 110430423396.

It is not an unprimeable number, because it can be changed into a prime (110430423391) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 375096 + ... + 601296.

It is an arithmetic number, because the mean of its divisors is an integer number (3952201344).

Almost surely, 2110430423396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110430423396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142279248384).

110430423396 is an abundant number, since it is smaller than the sum of its proper divisors (174128073372).

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

110430423396 is a wasteful number, since it uses less digits than its factorization.

110430423396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226473 (or 226468 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 110430423396 in words is "one hundred ten billion, four hundred thirty million, four hundred twenty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 191 213 284 382 426 573 639 764 852 1146 1278 1719 2292 2556 3438 6876 13561 27122 40683 54244 81366 122049 162732 226201 244098 452402 488196 678603 904804 1357206 2035809 2714412 4071618 8143236 16060271 32120542 43204391 48180813 64241084 86408782 96361626 129613173 144542439 172817564 192723252 259226346 289084878 388839519 518452692 578169756 777679038 1555358076 3067511761 6135023522 9202535283 12270047044 18405070566 27607605849 36810141132 55215211698 110430423396