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110434251042 = 23353143326927
BaseRepresentation
bin110011011011001100…
…1001111000100100010
3101120001100112012211000
41212312121033010202
53302132132013132
6122422141132430
710656443434323
oct1466631170442
9346040465730
10110434251042
114292028a375
12194a025a116
13a54c47139b
1454b8b4244a
152d152c487c
hex19b664f122

110434251042 has 64 divisors (see below), whose sum is σ = 250223592960. Its totient is φ = 36090317952.

The previous prime is 110434251013. The next prime is 110434251073. The reversal of 110434251042 is 240152434011.

110434251042 is a `hidden beast` number, since 1 + 104 + 3 + 4 + 2 + 510 + 42 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 110434250997 and 110434251015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4087783 + ... + 4114709.

It is an arithmetic number, because the mean of its divisors is an integer number (3909743640).

Almost surely, 2110434251042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110434251042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125111796480).

110434251042 is an abundant number, since it is smaller than the sum of its proper divisors (139789341918).

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

110434251042 is a wasteful number, since it uses less digits than its factorization.

110434251042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28424 (or 28418 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 110434251042 its reverse (240152434011), we get a palindrome (350586685053).

The spelling of 110434251042 in words is "one hundred ten billion, four hundred thirty-four million, two hundred fifty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 1433 2862 2866 4299 8598 12897 25794 26927 38691 53854 75949 77382 80781 151898 161562 227847 242343 455694 484686 683541 727029 1367082 1427131 1454058 2050623 2854262 4101246 4281393 8562786 12844179 25688358 38532537 38586391 77065074 77172782 115759173 231518346 347277519 694555038 1041832557 2045078723 2083665114 4090157446 6135236169 12270472338 18405708507 36811417014 55217125521 110434251042