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130141341304 = 231331103391907
BaseRepresentation
bin111100100110100000…
…1110100011001111000
3110102220202220010102221
41321031001310121320
54113012140410204
6135441444333424
712255011102062
oct1711501643170
9412822803387
10130141341304
1150213437a27
12212800a4274
13c370261540
14642817c732
1535ba482654
hex1e4d074678

130141341304 has 64 divisors (see below), whose sum is σ = 273896663040. Its totient is φ = 57563153280.

The previous prime is 130141341287. The next prime is 130141341307. The reversal of 130141341304 is 403143141031.

It is a happy number.

It is a super-3 number, since 3×1301413413043 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130141341307) 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, 136119 + ... + 528025.

It is an arithmetic number, because the mean of its divisors is an integer number (4279635360).

Almost surely, 2130141341304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130141341304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136948331520).

130141341304 is an abundant number, since it is smaller than the sum of its proper divisors (143755321736).

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

130141341304 is a wasteful number, since it uses less digits than its factorization.

130141341304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392060 (or 392056 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 130141341304 its reverse (403143141031), we get a palindrome (533284482335).

The spelling of 130141341304 in words is "one hundred thirty billion, one hundred forty-one million, three hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 8 13 26 31 52 62 103 104 124 206 248 403 412 806 824 1339 1612 2678 3193 3224 5356 6386 10712 12772 25544 41509 83018 166036 332072 391907 783814 1567628 3135256 5094791 10189582 12149117 20379164 24298234 40366421 40758328 48596468 80732842 97192936 157938521 161465684 315877042 322931368 524763473 631754084 1049526946 1251359051 1263508168 2099053892 2502718102 4198107784 5005436204 10010872408 16267667663 32535335326 65070670652 130141341304