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213232121010 = 23257156535903
BaseRepresentation
bin1100011010010110011…
…1111111010010110010
3202101101111212002010100
43012211213333102302
511443144410333020
6241542452213230
721256043060166
oct3064547772262
9671344762110
10213232121010
1182481a785a7
12353ab00a216
131715281368c
14a46b5d0ca6
15582ee77a90
hex31a59ff4b2

213232121010 has 96 divisors (see below), whose sum is σ = 562406727168. Its totient is φ = 56041614720.

The previous prime is 213232120973. The next prime is 213232121021. The reversal of 213232121010 is 10121232312.

213232121010 is a `hidden beast` number, since 2 + 132 + 321 + 210 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 36119719 + ... + 36125621.

It is an arithmetic number, because the mean of its divisors is an integer number (5858403408).

Almost surely, 2213232121010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213232121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281203363584).

213232121010 is an abundant number, since it is smaller than the sum of its proper divisors (349174606158).

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

213232121010 is a wasteful number, since it uses less digits than its factorization.

213232121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11640 (or 11637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213232121010 its reverse (10121232312), we get a palindrome (223353353322).

The spelling of 213232121010 in words is "two hundred thirteen billion, two hundred thirty-two million, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 5653 5903 6390 11306 11806 16959 17709 28265 29515 33918 35418 50877 53127 56530 59030 84795 88545 101754 106254 169590 177090 254385 265635 401363 419113 508770 531270 802726 838226 1204089 1257339 2006815 2095565 2408178 2514678 3612267 3772017 4013630 4191130 6020445 6286695 7224534 7544034 12040890 12573390 18061335 18860085 33369659 36122670 37720170 66739318 100108977 166848295 200217954 300326931 333696590 500544885 600653862 1001089770 1501634655 2369245789 3003269310 4738491578 7107737367 11846228945 14215474734 21323212101 23692457890 35538686835 42646424202 71077373670 106616060505 213232121010