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18022106112 = 210310356957
BaseRepresentation
bin10000110010001100…
…111000010000000000
31201111222202211220120
4100302030320100000
5243402124343422
612140152140240
71205414242263
oct206214702000
951458684816
1018022106112
11770901107a
1235ab697680
1319129a051a
14c2d742cda
157072c345c
hex432338400

18022106112 has 88 divisors (see below), whose sum is σ = 48502698816. Its totient is φ = 5948940288.

The previous prime is 18022106111. The next prime is 18022106131. The reversal of 18022106112 is 21160122081.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (18022106111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287938 + ... + 344894.

It is an arithmetic number, because the mean of its divisors is an integer number (551167032).

Almost surely, 218022106112 is an apocalyptic number.

18022106112 is a gapful number since it is divisible by the number (12) 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 18022106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24251349408).

18022106112 is an abundant number, since it is smaller than the sum of its proper divisors (30480592704).

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

18022106112 is a wasteful number, since it uses less digits than its factorization.

18022106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57083 (or 57065 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 18022106112 its reverse (21160122081), we get a palindrome (39182228193).

The spelling of 18022106112 in words is "eighteen billion, twenty-two million, one hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 256 309 384 412 512 618 768 824 1024 1236 1536 1648 2472 3072 3296 4944 6592 9888 13184 19776 26368 39552 52736 56957 79104 105472 113914 158208 170871 227828 316416 341742 455656 683484 911312 1366968 1822624 2733936 3645248 5467872 5866571 7290496 10935744 11733142 14580992 17599713 21871488 23466284 29161984 35199426 43742976 46932568 58323968 70398852 87485952 93865136 140797704 174971904 187730272 281595408 375460544 563190816 750921088 1126381632 1501842176 2252763264 3003684352 4505526528 6007368704 9011053056 18022106112