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130022442 = 23311713083
BaseRepresentation
bin1111011111111…
…11110000101010
3100001122211021000
413233333300222
5231241204232
620522455430
73136113114
oct757776052
9301584230
10130022442
1167437870
1237664576
1320c25a74
14133a83b4
15b63527c
hex7bffc2a

130022442 has 64 divisors (see below), whose sum is σ = 319749120. Its totient is φ = 38833200.

The previous prime is 130022437. The next prime is 130022449. The reversal of 130022442 is 244220031.

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

It is not an unprimeable number, because it can be changed into a prime (130022449) 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 31 ways as a sum of consecutive naturals, for example, 40633 + ... + 43715.

It is an arithmetic number, because the mean of its divisors is an integer number (4996080).

Almost surely, 2130022442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130022442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159874560).

130022442 is an abundant number, since it is smaller than the sum of its proper divisors (189726678).

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

130022442 is a wasteful number, since it uses less digits than its factorization.

130022442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 130022442 is about 11402.7383553250. The cubic root of 130022442 is about 506.6088506474.

Adding to 130022442 its reverse (244220031), we get a palindrome (374242473).

The spelling of 130022442 in words is "one hundred thirty million, twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 71 99 142 198 213 297 426 594 639 781 1278 1562 1917 2343 3083 3834 4686 6166 7029 9249 14058 18498 21087 27747 33913 42174 55494 67826 83241 101739 166482 203478 218893 305217 437786 610434 656679 915651 1313358 1831302 1970037 2407823 3940074 4815646 5910111 7223469 11820222 14446938 21670407 43340814 65011221 130022442