Search a number
-
+
131000142000234 = 231343382110221901
BaseRepresentation
bin11101110010010011011000…
…111011011111000001101010
3122011211111021010122001221210
4131302103120323133001222
5114132301242323001414
61142340345012013550
736410306432351403
oct3562233073370152
9564744233561853
10131000142000234
1138816936aa0a91
12128388566012b6
1358133500ab620
14244c62540a9aa
15102293350de59
hex7724d8edf06a

131000142000234 has 64 divisors (see below), whose sum is σ = 288791465010048. Its totient is φ = 39360039264000.

The previous prime is 131000142000227. The next prime is 131000142000239. The reversal of 131000142000234 is 432000241000131.

It is a super-2 number, since 2×1310001420002342 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131000142000234.

It is not an unprimeable number, because it can be changed into a prime (131000142000239) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7704684 + ... + 17926584.

It is an arithmetic number, because the mean of its divisors is an integer number (4512366640782).

Almost surely, 2131000142000234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131000142000234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144395732505024).

131000142000234 is an abundant number, since it is smaller than the sum of its proper divisors (157791323009814).

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

131000142000234 is a wasteful number, since it uses less digits than its factorization.

131000142000234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10225783.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 131000142000234 its reverse (432000241000131), we get a palindrome (563000383000365).

The spelling of 131000142000234 in words is "one hundred thirty-one trillion, one hundred forty-two million, two hundred thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 13 26 39 43 78 86 129 258 559 1118 1677 3354 3821 7642 11463 22926 49673 99346 149019 164303 298038 328606 492909 985818 2135939 4271878 6407817 10221901 12815634 20443802 30665703 61331406 132884713 265769426 398654139 439541743 797308278 879083486 1318625229 2637250458 5714042659 11428085318 17142127977 34284255954 39057883721 78115767442 117173651163 234347302326 507752488373 1015504976746 1523257465119 1679489000003 3046514930238 3358978000006 5038467000009 10076934000018 21833357000039 43666714000078 65500071000117 131000142000234