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112002312312 = 233211401352661
BaseRepresentation
bin110100001001111011…
…0111010100001111000
3101201002122002222111100
41220103312322201320
53313340042443222
6123241514131400
711043343642452
oct1502366724170
9351078088440
10112002312312
1143555426a80
1219859420b60
13a73c2a38a7
1455c70c12d2
152da7cb54ac
hex1a13dba878

112002312312 has 96 divisors (see below), whose sum is σ = 331742090160. Its totient is φ = 33855360000.

The previous prime is 112002312311. The next prime is 112002312313. The reversal of 112002312312 is 213213200211.

112002312312 is a `hidden beast` number, since 1 + 1 + 200 + 231 + 231 + 2 = 666.

112002312312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112002312311) and next prime (112002312313).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112002312311) by changing a digit.

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, 141262 + ... + 493922.

Almost surely, 2112002312312 is an apocalyptic number.

112002312312 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 112002312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165871045080).

112002312312 is an abundant number, since it is smaller than the sum of its proper divisors (219739777848).

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

112002312312 is a wasteful number, since it uses less digits than its factorization.

112002312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353085 (or 353078 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112002312312 its reverse (213213200211), we get a palindrome (325215512523).

The spelling of 112002312312 in words is "one hundred twelve billion, two million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 401 792 802 1203 1604 2406 3208 3609 4411 4812 7218 8822 9624 13233 14436 17644 26466 28872 35288 39699 52932 79398 105864 158796 317592 352661 705322 1057983 1410644 2115966 2821288 3173949 3879271 4231932 6347898 7758542 8463864 11637813 12695796 15517084 23275626 25391592 31034168 34913439 46551252 69826878 93102504 139653756 141417061 279307512 282834122 424251183 565668244 848502366 1131336488 1272753549 1555587671 1697004732 2545507098 3111175342 3394009464 4666763013 5091014196 6222350684 9333526026 10182028392 12444701368 14000289039 18667052052 28000578078 37334104104 56001156156 112002312312