Search a number
-
+
112420222420 = 225111730058883
BaseRepresentation
bin110100010110011000…
…1000111010111010100
3101202011202111000101111
41220230301013113110
53320214034104140
6123351203304404
711056610060332
oct1505461072724
9352152430344
10112420222420
114374a315030
121995537b104
13a7a7a4628c
1456267c8b52
152dce8157ea
hex1a2cc475d4

112420222420 has 48 divisors (see below), whose sum is σ = 272694195648. Its totient is φ = 38475368960.

The previous prime is 112420222417. The next prime is 112420222423. The reversal of 112420222420 is 24222024211.

It is an interprime number because it is at equal distance from previous prime (112420222417) and next prime (112420222423).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 112420222391 and 112420222400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112420222423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15025702 + ... + 15033181.

It is an arithmetic number, because the mean of its divisors is an integer number (5681129076).

Almost surely, 2112420222420 is an apocalyptic number.

112420222420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112420222420 is an abundant number, since it is smaller than the sum of its proper divisors (160273973228).

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

112420222420 is a wasteful number, since it uses less digits than its factorization.

112420222420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30058920 (or 30058918 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 112420222420 its reverse (24222024211), we get a palindrome (136642246631).

The spelling of 112420222420 in words is "one hundred twelve billion, four hundred twenty million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 30058883 60117766 120235532 150294415 300588830 330647713 511001011 601177660 661295426 1022002022 1322590852 1653238565 2044004044 2555005055 3306477130 5110010110 5621011121 6612954260 10220020220 11242022242 22484044484 28105055605 56210111210 112420222420