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213234404443110 = 23355332714555511
BaseRepresentation
bin110000011110111110000000…
…111011100100001111100110
31000222000000021021110001211000
4300132332000323210033212
5210422113030014134420
62033302311050454130
762625451216064121
oct6036760073441746
91028000237401730
10213234404443110
1161a412263315a6
121baba30a734346
1391c9bc1c889bb
143a928590c93b8
15199bab22d9690
hexc1ef80ee43e6

213234404443110 has 128 divisors (see below), whose sum is σ = 579531099064320. Its totient is φ = 55772562268800.

The previous prime is 213234404443061. The next prime is 213234404443127. The reversal of 213234404443110 is 11344404432312.

213234404443110 is a `hidden beast` number, since 2 + 1 + 3 + 23 + 440 + 44 + 43 + 110 = 666.

It is a super-2 number, since 2×2132344044431102 (a number of 29 digits) contains 22 as substring.

It is a congruent 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, 44530255 + ... + 49085765.

It is an arithmetic number, because the mean of its divisors is an integer number (4527586711440).

Almost surely, 2213234404443110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213234404443110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289765549532160).

213234404443110 is an abundant number, since it is smaller than the sum of its proper divisors (366296694621210).

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

213234404443110 is a wasteful number, since it uses less digits than its factorization.

213234404443110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558851 (or 4558845 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 213234404443110 its reverse (11344404432312), we get a palindrome (224578808875422).

The spelling of 213234404443110 in words is "two hundred thirteen trillion, two hundred thirty-four billion, four hundred four million, four hundred forty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 3271 4770 6542 7155 9813 14310 16355 19626 29439 32710 49065 58878 88317 98130 147195 173363 176634 294390 346726 441585 520089 866815 883170 1040178 1560267 1733630 2600445 3120534 4555511 4680801 5200890 7801335 9111022 9361602 13666533 15602670 22777555 23404005 27333066 40999599 45555110 46808010 68332665 81999198 122998797 136665330 204997995 241442083 245997594 409995990 482884166 614993985 724326249 1207210415 1229987970 1448652498 2172978747 2414420830 3621631245 4345957494 6518936241 7243262490 10864893735 13037872482 14901076481 21729787470 29802152962 32594681205 44703229443 65189362410 74505382405 89406458886 134109688329 149010764810 223516147215 268219376658 402329064987 447032294430 670548441645 789757053493 804658129974 1341096883290 1579514106986 2011645324935 2369271160479 3948785267465 4023290649870 4738542320958 7107813481437 7897570534930 11846355802395 14215626962874 21323440444311 23692711604790 35539067407185 42646880888622 71078134814370 106617202221555 213234404443110