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138173000130 = 232511195171537
BaseRepresentation
bin1000000010101111000…
…0001010100111000010
3111012122111212200002100
42000223300022213002
54230434242001010
6143250434531230
712661025060034
oct2005360124702
9435574780070
10138173000130
11536650690a0
1222941a36b16
131005020a699
14698ab27c54
1538da6332c0
hex202bc0a9c2

138173000130 has 96 divisors (see below), whose sum is σ = 392115230208. Its totient is φ = 33478848000.

The previous prime is 138173000087. The next prime is 138173000137. The reversal of 138173000130 is 31000371831.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 138173000094 and 138173000103.

It is not an unprimeable number, because it can be changed into a prime (138173000137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1895722 + ... + 1967258.

It is an arithmetic number, because the mean of its divisors is an integer number (4084533648).

Almost surely, 2138173000130 is an apocalyptic number.

138173000130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138173000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196057615104).

138173000130 is an abundant number, since it is smaller than the sum of its proper divisors (253942230078).

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

138173000130 is a wasteful number, since it uses less digits than its factorization.

138173000130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73512 (or 73509 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 138173000130 its reverse (31000371831), we get a palindrome (169173371961).

The spelling of 138173000130 in words is "one hundred thirty-eight billion, one hundred seventy-three million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1951 3902 5853 9755 11706 17559 19510 21461 29265 35118 42922 58530 64383 71537 87795 107305 128766 143074 175590 193149 214610 214611 321915 357685 386298 429222 643830 643833 715370 786907 965745 1073055 1287666 1573814 1931490 2146110 2360721 3219165 3934535 4721442 6438330 7082163 7869070 11803605 14164326 23607210 35410815 70821630 139568687 279137374 418706061 697843435 837412122 1256118183 1395686870 1535255557 2093530305 2512236366 3070511114 4187060610 4605766671 6280590915 7676277785 9211533342 12561181830 13817300013 15352555570 23028833355 27634600026 46057666710 69086500065 138173000130