Search a number
-
+
1213101030 = 235294171479
BaseRepresentation
bin100100001001110…
…0111001111100110
310010112122220202210
41020103213033212
54441023213110
6320212544250
742030121461
oct11023471746
93115586683
101213101030
11572844839
1229a322086
1316443067b
14b71802d8
1571777520
hex484e73e6

1213101030 has 128 divisors (see below), whose sum is σ = 3135283200. Its totient is φ = 299801600.

The previous prime is 1213101013. The next prime is 1213101041. The reversal of 1213101030 is 301013121.

1213101030 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12131010302 = 2943228217974121800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1213100997 and 1213101015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2532331 + ... + 2532809.

It is an arithmetic number, because the mean of its divisors is an integer number (24494400).

Almost surely, 21213101030 is an apocalyptic number.

1213101030 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 1213101030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567641600).

1213101030 is an abundant number, since it is smaller than the sum of its proper divisors (1922182170).

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

1213101030 is a wasteful number, since it uses less digits than its factorization.

1213101030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1213101030 is about 34829.5999115695. The cubic root of 1213101030 is about 1066.5117810048.

Adding to 1213101030 its reverse (301013121), we get a palindrome (1514114151).

The spelling of 1213101030 in words is "one billion, two hundred thirteen million, one hundred one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 29 30 41 58 71 82 87 123 142 145 174 205 213 246 290 355 410 426 435 479 615 710 870 958 1065 1189 1230 1437 2059 2130 2378 2395 2874 2911 3567 4118 4790 5822 5945 6177 7134 7185 8733 10295 11890 12354 13891 14370 14555 17466 17835 19639 20590 27782 29110 30885 34009 35670 39278 41673 43665 58917 61770 68018 69455 83346 84419 87330 98195 102027 117834 138910 168838 170045 196390 204054 208365 253257 294585 340090 416730 422095 506514 510135 569531 589170 844190 986261 1020270 1139062 1266285 1394369 1708593 1972522 2532570 2788738 2847655 2958783 3417186 4183107 4931305 5695310 5917566 6971845 8366214 8542965 9862610 13943690 14793915 17085930 20915535 29587830 40436701 41831070 80873402 121310103 202183505 242620206 404367010 606550515 1213101030