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13113032130 = 23251157123197
BaseRepresentation
bin11000011011001100…
…01111110111000010
31020211212111001101200
430031212033313002
5203323414012010
610005105442030
7642644635242
oct141546176702
936755431350
1013113032130
115619a68140
12265b640316
13130c929213
148c578db22
1551b32ccc0
hex30d98fdc2

13113032130 has 96 divisors (see below), whose sum is σ = 37260070848. Its totient is φ = 3173212800.

The previous prime is 13113032117. The next prime is 13113032143. The reversal of 13113032130 is 3123031131.

It is a happy number.

13113032130 is a `hidden beast` number, since 1 + 311 + 3 + 0 + 321 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (13113032117) and next prime (13113032143).

It is a super-2 number, since 2×131130321302 (a number of 21 digits) contains 22 as substring.

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

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, 553692 + ... + 576888.

It is an arithmetic number, because the mean of its divisors is an integer number (388125738).

Almost surely, 213113032130 is an apocalyptic number.

13113032130 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 13113032130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18630035424).

13113032130 is an abundant number, since it is smaller than the sum of its proper divisors (24147038718).

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

13113032130 is a wasteful number, since it uses less digits than its factorization.

13113032130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23792 (or 23789 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13113032130 its reverse (3123031131), we get a palindrome (16236063261).

Subtracting from 13113032130 its reverse (3123031131), we obtain a palindrome (9990000999).

The spelling of 13113032130 in words is "thirteen billion, one hundred thirteen million, thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 571 990 1142 1713 2855 3426 5139 5710 6281 8565 10278 12562 17130 18843 23197 25695 31405 37686 46394 51390 56529 62810 69591 94215 113058 115985 139182 188430 208773 231970 255167 282645 347955 417546 510334 565290 695910 765501 1043865 1275835 1531002 2087730 2296503 2551670 3827505 4593006 7655010 11482515 13245487 22965030 26490974 39736461 66227435 79472922 119209383 132454870 145700357 198682305 238418766 291400714 397364610 437101071 596046915 728501785 874202142 1192093830 1311303213 1457003570 2185505355 2622606426 4371010710 6556516065 13113032130