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112301122320 = 24325155973781
BaseRepresentation
bin110100010010110101…
…0110010001100010000
3101201212110101002202200
41220211222302030100
53314443041403240
6123331310443200
711053632534612
oct1504552621420
9351773332680
10112301122320
11436990683a2
1219921503500
13a789175b4a
145614a64db2
152dc413b930
hex1a25ab2310

112301122320 has 60 divisors (see below), whose sum is σ = 377144604876. Its totient is φ = 29946965760.

The previous prime is 112301122309. The next prime is 112301122321. The reversal of 112301122320 is 23221103211.

112301122320 is a `hidden beast` number, since 1 + 1 + 230 + 112 + 2 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49454643456 + 62846478864 = 222384^2 + 250692^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1123011223202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 112301122293 and 112301122302.

It is not an unprimeable number, because it can be changed into a prime (112301122321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77986171 + ... + 77987610.

Almost surely, 2112301122320 is an apocalyptic number.

112301122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112301122320 is an abundant number, since it is smaller than the sum of its proper divisors (264843482556).

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

112301122320 is a wasteful number, since it uses less digits than its factorization.

112301122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155973800 (or 155973791 counting only the distinct ones).

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

Adding to 112301122320 its reverse (23221103211), we get a palindrome (135522225531).

The spelling of 112301122320 in words is "one hundred twelve billion, three hundred one million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 155973781 311947562 467921343 623895124 779868905 935842686 1247790248 1403764029 1559737810 1871685372 2339606715 2495580496 2807528058 3119475620 3743370744 4679213430 5615056116 6238951240 7018820145 7486741488 9358426860 11230112232 12477902480 14037640290 18716853720 22460224464 28075280580 37433707440 56150561160 112301122320