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30220013142 = 2351122325349
BaseRepresentation
bin11100001001010000…
…001100111001010110
32220000002021201200000
4130021100030321112
5443342310410032
621514411432130
72116610605404
oct341120147126
986002251600
1030220013142
11118a8456180
125a34755646
132b07b387a7
14166975a474
15bbd0d7e7c
hex70940ce56

30220013142 has 96 divisors (see below), whose sum is σ = 74409753600. Its totient is φ = 9116154720.

The previous prime is 30220013137. The next prime is 30220013179. The reversal of 30220013142 is 24131002203.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1179484 + ... + 1204832.

It is an arithmetic number, because the mean of its divisors is an integer number (775101600).

Almost surely, 230220013142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30220013142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37204876800).

30220013142 is an abundant number, since it is smaller than the sum of its proper divisors (44189740458).

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

30220013142 is a wasteful number, since it uses less digits than its factorization.

30220013142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25600 (or 25588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30220013142 its reverse (24131002203), we get a palindrome (54351015345).

The spelling of 30220013142 in words is "thirty billion, two hundred twenty million, thirteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 223 243 297 446 486 594 669 891 1338 1782 2007 2453 2673 4014 4906 5346 6021 7359 12042 14718 18063 22077 25349 36126 44154 50698 54189 66231 76047 108378 132462 152094 198693 228141 278839 397386 456282 557678 596079 684423 836517 1192158 1368846 1673034 2053269 2509551 4106538 5019102 5652827 6159807 7528653 11305654 12319614 15057306 16958481 22585959 33916962 45171918 50875443 62181097 67757877 101750886 124362194 135515754 152626329 186543291 305252658 373086582 457878987 559629873 915757974 1119259746 1373636961 1678889619 2747273922 3357779238 5036668857 10073337714 15110006571 30220013142