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110402004420 = 223253891576721
BaseRepresentation
bin110011011010001111…
…0001110010111000100
3101112222002211220202200
41212310132032113010
53302100403120140
6122415030034500
710655602361001
oct1466436162704
9345862756680
10110402004420
1142904064a74
12194914a8a30
13a545890946
1454b474a8a8
152d12555030
hex19b478e5c4

110402004420 has 72 divisors (see below), whose sum is σ = 335747182680. Its totient is φ = 29364833280.

The previous prime is 110402004413. The next prime is 110402004431. The reversal of 110402004420 is 24400204011.

110402004420 is a `hidden beast` number, since 1 + 1 + 0 + 40 + 200 + 4 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2008294596 + 108393709824 = 44814^2 + 329232^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110402004393 and 110402004402.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 718341 + ... + 858380.

It is an arithmetic number, because the mean of its divisors is an integer number (4663155315).

Almost surely, 2110402004420 is an apocalyptic number.

110402004420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110402004420 is an abundant number, since it is smaller than the sum of its proper divisors (225345178260).

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

110402004420 is a wasteful number, since it uses less digits than its factorization.

110402004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577125 (or 1577120 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 110402004420 its reverse (24400204011), we get a palindrome (134802208431).

The spelling of 110402004420 in words is "one hundred ten billion, four hundred two million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 389 778 1167 1556 1945 2334 3501 3890 4668 5835 7002 7780 11670 14004 17505 23340 35010 70020 1576721 3153442 4730163 6306884 7883605 9460326 14190489 15767210 18920652 23650815 28380978 31534420 47301630 56761956 70952445 94603260 141904890 283809780 613344469 1226688938 1840033407 2453377876 3066722345 3680066814 5520100221 6133444690 7360133628 9200167035 11040200442 12266889380 18400334070 22080400884 27600501105 36800668140 55201002210 110402004420