Search a number
-
+
213032322120 = 23351993435229
BaseRepresentation
bin1100011001100110110…
…1110100010001001000
3202100212120220020120110
43012121231310101020
511442242233301440
6241510553554320
721251065601142
oct3063155642110
9670776806513
10213032322120
118238a212752
12353541159a0
13171202c9a97
14a44cc61c92
15581c65d080
hex3199b74448

213032322120 has 64 divisors (see below), whose sum is σ = 672733656000. Its totient is φ = 53818691328.

The previous prime is 213032322091. The next prime is 213032322127. The reversal of 213032322120 is 21223230312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213032322127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46715335 + ... + 46719894.

It is an arithmetic number, because the mean of its divisors is an integer number (10511463375).

Almost surely, 2213032322120 is an apocalyptic number.

213032322120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213032322120 is an abundant number, since it is smaller than the sum of its proper divisors (459701333880).

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

213032322120 is a wasteful number, since it uses less digits than its factorization.

213032322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93435262 (or 93435258 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213032322120 its reverse (21223230312), we get a palindrome (234255552432).

The spelling of 213032322120 in words is "two hundred thirteen billion, thirty-two million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 93435229 186870458 280305687 373740916 467176145 560611374 747481832 934352290 1121222748 1401528435 1775269351 1868704580 2242445496 2803056870 3550538702 3737409160 5325808053 5606113740 7101077404 8876346755 10651616106 11212227480 14202154808 17752693510 21303232212 26629040265 35505387020 42606464424 53258080530 71010774040 106516161060 213032322120