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213113031210 = 23353141621013
BaseRepresentation
bin1100011001111010000…
…1101100101000101010
3202101002012202200122000
43012132201230220222
511442423413444320
6241522555511430
721253065606462
oct3063641545052
9671065680560
10213113031210
1182420828682
1235377158576
1317133c47b41
14a459870ba2
1558247a1c90
hex319e86ca2a

213113031210 has 128 divisors (see below), whose sum is σ = 600942827520. Its totient is φ = 53655436800.

The previous prime is 213113031199. The next prime is 213113031233. The reversal of 213113031210 is 12130311312.

213113031210 is a `hidden beast` number, since 2 + 1 + 311 + 30 + 312 + 10 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32664 + ... + 653676.

It is an arithmetic number, because the mean of its divisors is an integer number (4694865840).

Almost surely, 2213113031210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213113031210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300471413760).

213113031210 is an abundant number, since it is smaller than the sum of its proper divisors (387829796310).

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

213113031210 is a wasteful number, since it uses less digits than its factorization.

213113031210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621101 (or 621095 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213113031210 its reverse (12130311312), we get a palindrome (225243342522).

The spelling of 213113031210 in words is "two hundred thirteen billion, one hundred thirteen million, thirty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 41 45 54 62 82 90 93 123 135 155 186 205 246 270 279 310 369 410 465 558 615 738 837 930 1107 1230 1271 1395 1674 1845 2214 2542 2790 3690 3813 4185 5535 6355 7626 8370 11070 11439 12710 19065 22878 34317 38130 57195 68634 114390 171585 343170 621013 1242026 1863039 3105065 3726078 5589117 6210130 9315195 11178234 16767351 18630390 19251403 25461533 27945585 33534702 38502806 50923066 55891170 57754209 76384599 83836755 96257015 115508418 127307665 152769198 167673510 173262627 192514030 229153797 254615330 288771045 346525254 381922995 458307594 519787881 577542090 687461391 763845990 789307523 866313135 1039575762 1145768985 1374922782 1578615046 1732626270 2291537970 2367922569 2598939405 3437306955 3946537615 4735845138 5197878810 6874613910 7103767707 7893075230 11839612845 14207535414 21311303121 23679225690 35518838535 42622606242 71037677070 106556515605 213113031210