Search a number
-
+
30101213130 = 2354123131907
BaseRepresentation
bin11100000010001011…
…000000111111001010
32212200210202001200120
4130002023000333022
5443121402310010
621454525244110
72113636042602
oct340213007712
985623661616
1030101213130
1111847393a4a
125a00a03636
132ab9341b21
141657a73c02
15bb296ce70
hex7022c0fca

30101213130 has 96 divisors (see below), whose sum is σ = 74323438272. Its totient is φ = 7802096640.

The previous prime is 30101213083. The next prime is 30101213141. The reversal of 30101213130 is 3131210103.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon 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, 15783637 + ... + 15785543.

It is an arithmetic number, because the mean of its divisors is an integer number (774202482).

Almost surely, 230101213130 is an apocalyptic number.

30101213130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30101213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37161719136).

30101213130 is an abundant number, since it is smaller than the sum of its proper divisors (44222225142).

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

30101213130 is a wasteful number, since it uses less digits than its factorization.

30101213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 30101213130 its reverse (3131210103), we get a palindrome (33232423233).

The spelling of 30101213130 in words is "thirty billion, one hundred one million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 313 410 615 626 939 1230 1565 1681 1878 1907 3130 3362 3814 4695 5043 5721 8405 9390 9535 10086 11442 12833 16810 19070 25215 25666 28605 38499 50430 57210 64165 76998 78187 128330 156374 192495 234561 384990 390935 469122 526153 596891 781870 1052306 1172805 1193782 1578459 1790673 2345610 2630765 2984455 3156918 3205667 3581346 5261530 5968910 6411334 7892295 8953365 9617001 15784590 16028335 17906730 19234002 24472531 32056670 48085005 48945062 73417593 96170010 122362655 146835186 244725310 367087965 734175930 1003373771 2006747542 3010121313 5016868855 6020242626 10033737710 15050606565 30101213130