Search a number
-
+
30210110010 = 23251922677793
BaseRepresentation
bin11100001000101010…
…011011001000111010
32212222101122121010100
4130020222123020322
5443332242010020
621513415300230
72116430461323
oct341052331072
985871577110
1030210110010
11118a2901873
125a3137a676
132b05a7c052
1416682dd44a
15bbc2cda90
hex708a9b23a

30210110010 has 96 divisors (see below), whose sum is σ = 82727386560. Its totient is φ = 7627682304.

The previous prime is 30210110003. The next prime is 30210110033. The reversal of 30210110010 is 1001101203.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 30210109974 and 30210110001.

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, 3872674 + ... + 3880466.

It is an arithmetic number, because the mean of its divisors is an integer number (861743610).

Almost surely, 230210110010 is an apocalyptic number.

30210110010 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 30210110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41363693280).

30210110010 is an abundant number, since it is smaller than the sum of its proper divisors (52517276550).

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

30210110010 is a wasteful number, since it uses less digits than its factorization.

30210110010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10092 (or 10089 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 30210110010 its reverse (1001101203), we get a palindrome (31211211213).

The spelling of 30210110010 in words is "thirty billion, two hundred ten million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 2267 4534 6801 7793 11335 13602 15586 20403 22670 23379 34005 38965 40806 43073 46758 68010 70137 77930 86146 102015 116895 129219 140274 148067 204030 215365 233790 258438 296134 350685 387657 430730 444201 646095 701370 740335 775314 888402 1292190 1332603 1480670 1938285 2221005 2665206 3876570 4442010 6663015 13326030 17666731 35333462 53000193 88333655 106000386 159000579 176667310 265000965 318001158 335667889 530001930 671335778 795002895 1007003667 1590005790 1678339445 2014007334 3021011001 3356678890 5035018335 6042022002 10070036670 15105055005 30210110010