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213133211220 = 223537151635801
BaseRepresentation
bin1100011001111110111…
…0101011011001010100
3202101010121201221101210
43012133232223121110
511442444100224340
6241525000221420
721253432255356
oct3063756533124
9671117657353
10213133211220
1182431161176
1235381a6a870
1317138192187
14a45c4050d6
15582643b180
hex319fbab654

213133211220 has 96 divisors (see below), whose sum is σ = 616961915136. Its totient is φ = 54933120000.

The previous prime is 213133211197. The next prime is 213133211237. The reversal of 213133211220 is 22112331312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17320 + ... + 653120.

It is an arithmetic number, because the mean of its divisors is an integer number (6426686616).

Almost surely, 2213133211220 is an apocalyptic number.

213133211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213133211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308480957568).

213133211220 is an abundant number, since it is smaller than the sum of its proper divisors (403828703916).

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

213133211220 is a wasteful number, since it uses less digits than its factorization.

213133211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636001 (or 635999 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213133211220 its reverse (22112331312), we get a palindrome (235245542532).

The spelling of 213133211220 in words is "two hundred thirteen billion, one hundred thirty-three million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 151 185 222 302 370 444 453 555 604 740 755 906 1110 1510 1812 2220 2265 3020 4530 5587 9060 11174 16761 22348 27935 33522 55870 67044 83805 111740 167610 335220 635801 1271602 1907403 2543204 3179005 3814806 6358010 7629612 9537015 12716020 19074030 23524637 38148060 47049274 70573911 94098548 96005951 117623185 141147822 192011902 235246370 282295644 288017853 352869555 384023804 470492740 480029755 576035706 705739110 960059510 1152071412 1411478220 1440089265 1920119020 2880178530 3552220187 5760357060 7104440374 10656660561 14208880748 17761100935 21313321122 35522201870 42626642244 53283302805 71044403740 106566605610 213133211220