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130022420 = 225112112801
BaseRepresentation
bin1111011111111…
…11110000010100
3100001122211020012
413233333300110
5231241204140
620522455352
73136113053
oct757776024
9301584205
10130022420
1167437850
1237664558
1320c25a58
14133a839a
15b635265
hex7bffc14

130022420 has 48 divisors (see below), whose sum is σ = 299388096. Its totient is φ = 47040000.

The previous prime is 130022383. The next prime is 130022423. The reversal of 130022420 is 24220031.

It is a junction number, because it is equal to n+sod(n) for n = 130022395 and 130022404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130022423) 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, 45020 + ... + 47820.

It is an arithmetic number, because the mean of its divisors is an integer number (6237252).

Almost surely, 2130022420 is an apocalyptic number.

130022420 is a gapful number since it is divisible by the number (10) 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 130022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149694048).

130022420 is an abundant number, since it is smaller than the sum of its proper divisors (169365676).

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

130022420 is a wasteful number, since it uses less digits than its factorization.

130022420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3032 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 130022420 is about 11402.7373906444. The cubic root of 130022420 is about 506.6088220744.

Adding to 130022420 its reverse (24220031), we get a palindrome (154242451).

The spelling of 130022420 in words is "one hundred thirty million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 211 220 422 844 1055 2110 2321 2801 4220 4642 5602 9284 11204 11605 14005 23210 28010 30811 46420 56020 61622 123244 154055 308110 591011 616220 1182022 2364044 2955055 5910110 6501121 11820220 13002242 26004484 32505605 65011210 130022420