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213101130 = 235113137563
BaseRepresentation
bin11001011001110…
…10101001001010
3112211222122210110
430230322221022
5414023214010
633051255150
75165221044
oct1454725112
9484878713
10213101130
11aa321040
125b44a4b6
13351c3558
1420432a94
1513a96120
hexcb3aa4a

213101130 has 128 divisors (see below), whose sum is σ = 592551936. Its totient is φ = 48556800.

The previous prime is 213101123. The next prime is 213101153. The reversal of 213101130 is 31101312.

213101130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 378229 + ... + 378791.

It is an arithmetic number, because the mean of its divisors is an integer number (4629312).

Almost surely, 2213101130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213101130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296275968).

213101130 is an abundant number, since it is smaller than the sum of its proper divisors (379450806).

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

213101130 is a wasteful number, since it uses less digits than its factorization.

213101130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652.

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

The square root of 213101130 is about 14597.9837648903. The cubic root of 213101130 is about 597.3037631044.

Adding to 213101130 its reverse (31101312), we get a palindrome (244202442).

The spelling of 213101130 in words is "two hundred thirteen million, one hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 37 55 62 66 74 93 110 111 155 165 185 186 222 310 330 341 370 407 465 555 563 682 814 930 1023 1110 1126 1147 1221 1689 1705 2035 2046 2294 2442 2815 3378 3410 3441 4070 5115 5630 5735 6105 6193 6882 8445 10230 11470 12210 12386 12617 16890 17205 17453 18579 20831 25234 30965 34410 34906 37158 37851 41662 52359 61930 62493 63085 75702 87265 92895 104155 104718 124986 126170 174530 185790 189255 191983 208310 229141 261795 312465 378510 383966 458282 523590 575949 624930 645761 687423 959915 1145705 1151898 1291522 1374846 1919830 1937283 2291410 2879745 3228805 3437115 3874566 5759490 6457610 6874230 7103371 9686415 14206742 19372830 21310113 35516855 42620226 71033710 106550565 213101130