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110442503430 = 23357329917713
BaseRepresentation
bin110011011011011100…
…0101101110100000110
3101120001221001110222000
41212312320231310012
53302141240102210
6122423034050130
710656603534630
oct1466670556406
9346057043860
10110442503430
1142924a06526
12194a2b79946
13a5510a065c
1454b9c8da50
152d15da4ac0
hex19b6e2dd06

110442503430 has 128 divisors (see below), whose sum is σ = 336707712000. Its totient is φ = 25234924032.

The previous prime is 110442503417. The next prime is 110442503447. The reversal of 110442503430 is 34305244011.

It is a happy number.

110442503430 is a `hidden beast` number, since 110 + 4 + 4 + 2 + 503 + 43 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110442503394 and 110442503403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6226254 + ... + 6243966.

It is an arithmetic number, because the mean of its divisors is an integer number (2630529000).

Almost surely, 2110442503430 is an apocalyptic number.

110442503430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110442503430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168353856000).

110442503430 is an abundant number, since it is smaller than the sum of its proper divisors (226265208570).

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

110442503430 is a wasteful number, since it uses less digits than its factorization.

110442503430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21035 (or 21029 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 110442503430 its reverse (34305244011), we get a palindrome (144747747441).

The spelling of 110442503430 in words is "one hundred ten billion, four hundred forty-two million, five hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 3299 6598 9897 16495 17713 19794 23093 29691 32990 35426 46186 49485 53139 59382 69279 88565 89073 98970 106278 115465 123991 138558 148455 159417 177130 178146 207837 230930 247982 265695 296910 318834 346395 371973 415674 445365 478251 531390 619955 623511 692790 743946 797085 890730 956502 1039185 1115919 1239910 1247022 1594170 1859865 2078370 2231838 2391255 3117555 3347757 3719730 4782510 5579595 6235110 6695514 11159190 16738785 33477570 58435187 116870374 175305561 292175935 350611122 409046309 525916683 584351870 818092618 876527805 1051833366 1227138927 1577750049 1753055610 2045231545 2454277854 2629583415 3155500098 3681416781 4090463090 5259166830 6135694635 7362833562 7888750245 11044250343 12271389270 15777500490 18407083905 22088500686 36814167810 55221251715 110442503430