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213111321210 = 23254797519391
BaseRepresentation
bin1100011001111001101…
…1001011001001111010
3202101002002112210221200
43012132123023021322
511442422444234320
6241522455115030
721253045225164
oct3063633131172
9671062483850
10213111321210
118241a86a957
1235376672a76
13171337996c8
14a459547934
155824565290
hex319e6cb27a

213111321210 has 96 divisors (see below), whose sum is σ = 571713472512. Its totient is φ = 55047029760.

The previous prime is 213111321209. The next prime is 213111321217. The reversal of 213111321210 is 12123111312.

213111321210 is a `hidden beast` number, since 2 + 131 + 1 + 1 + 321 + 210 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (213111321217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150615 + ... + 670005.

It is an arithmetic number, because the mean of its divisors is an integer number (5955348672).

Almost surely, 2213111321210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213111321210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285856736256).

213111321210 is an abundant number, since it is smaller than the sum of its proper divisors (358602151302).

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

213111321210 is a wasteful number, since it uses less digits than its factorization.

213111321210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519548 (or 519545 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 213111321210 its reverse (12123111312), we get a palindrome (225234432522).

The spelling of 213111321210 in words is "two hundred thirteen billion, one hundred eleven million, three hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 97 141 194 235 282 291 423 470 485 582 705 846 873 970 1410 1455 1746 2115 2910 4230 4365 4559 8730 9118 13677 22795 27354 41031 45590 68385 82062 136770 205155 410310 519391 1038782 1558173 2596955 3116346 4674519 5193910 7790865 9349038 15581730 23372595 24411377 46745190 48822754 50380927 73234131 100761854 122056885 146468262 151142781 219702393 244113770 251904635 302285562 366170655 439404786 453428343 503809270 732341310 755713905 906856686 1098511965 1511427810 2197023930 2267141715 2367903569 4534283430 4735807138 7103710707 11839517845 14207421414 21311132121 23679035690 35518553535 42622264242 71037107070 106555660605 213111321210