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1114101612 = 2232137133529
BaseRepresentation
bin100001001100111…
…1101011101101100
32212122101020002200
41002121331131230
54240202222422
6302315021500
736415464441
oct10231753554
92778336080
101114101612
11521977038
1227113a890
13149a7a430
14a7d6d9c8
1567c1e2ac
hex4267d76c

1114101612 has 72 divisors (see below), whose sum is σ = 3075639840. Its totient is φ = 337962240.

The previous prime is 1114101601. The next prime is 1114101641. The reversal of 1114101612 is 2161014111.

1114101612 is a `hidden beast` number, since 1 + 11 + 41 + 0 + 1 + 612 = 666.

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

It is an unprimeable number.

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, 16464 + ... + 49992.

It is an arithmetic number, because the mean of its divisors is an integer number (42717220).

Almost surely, 21114101612 is an apocalyptic number.

1114101612 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 1114101612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537819920).

1114101612 is an abundant number, since it is smaller than the sum of its proper divisors (1961538228).

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

1114101612 is a wasteful number, since it uses less digits than its factorization.

1114101612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33623 (or 33618 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 1114101612 is about 33378.1607042689. The cubic root of 1114101612 is about 1036.6725544044.

Adding to 1114101612 its reverse (2161014111), we get a palindrome (3275115723).

The spelling of 1114101612 in words is "one billion, one hundred fourteen million, one hundred one thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 71 78 117 142 156 213 234 284 426 468 639 852 923 1278 1846 2556 2769 3692 5538 8307 11076 16614 33228 33529 67058 100587 134116 201174 301761 402348 435877 603522 871754 1207044 1307631 1743508 2380559 2615262 3922893 4761118 5230524 7141677 7845786 9522236 14283354 15691572 21425031 28566708 30947267 42850062 61894534 85700124 92841801 123789068 185683602 278525403 371367204 557050806 1114101612