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213120202230 = 232513586131079
BaseRepresentation
bin1100011001111011110…
…1000011010111110110
3202101002201021000102100
43012132331003113312
511442432232432410
6241523413322530
721253213554315
oct3063675032766
9671081230370
10213120202230
1182424886341
1235379636446
1317135588b50
14a45a7ba27c
15582521b8c0
hex319ef435f6

213120202230 has 96 divisors (see below), whose sum is σ = 596857584960. Its totient is φ = 52449719040.

The previous prime is 213120202121. The next prime is 213120202249. The reversal of 213120202230 is 32202021312.

213120202230 is a `hidden beast` number, since 213 + 1 + 20 + 202 + 230 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6841831 + ... + 6872909.

It is an arithmetic number, because the mean of its divisors is an integer number (6217266510).

Almost surely, 2213120202230 is an apocalyptic number.

213120202230 is an abundant number, since it is smaller than the sum of its proper divisors (383737382730).

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

213120202230 is a wasteful number, since it uses less digits than its factorization.

213120202230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36966 (or 36963 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 213120202230 its reverse (32202021312), we get a palindrome (245322223542).

The spelling of 213120202230 in words is "two hundred thirteen billion, one hundred twenty million, two hundred two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 5861 11722 17583 29305 31079 35166 52749 58610 62158 76193 87915 93237 105498 152386 155395 175830 186474 228579 263745 279711 310790 380965 404027 457158 466185 527490 559422 685737 761930 808054 932370 1142895 1212081 1371474 1398555 2020135 2285790 2424162 2797110 3428685 3636243 4040270 6060405 6857370 7272486 12120810 18181215 36362430 182154019 364308038 546462057 910770095 1092924114 1639386171 1821540190 2368002247 2732310285 3278772342 4736004494 5464620570 7104006741 8196930855 11840011235 14208013482 16393861710 21312020223 23680022470 35520033705 42624040446 71040067410 106560101115 213120202230