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213232110 = 235713372111
BaseRepresentation
bin11001011010110…
…10100111101110
3112212020022110120
430231122213232
5414041411420
633054145410
75166304650
oct1455324756
9485208416
10213232110
11aa400493
125b4b2266
133523b060
14204686d0
1513abed40
hexcb5a9ee

213232110 has 128 divisors (see below), whose sum is σ = 647184384. Its totient is φ = 43752960.

The previous prime is 213232067. The next prime is 213232127. The reversal of 213232110 is 11232312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213232110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99955 + ... + 102065.

It is an arithmetic number, because the mean of its divisors is an integer number (5056128).

Almost surely, 2213232110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213232110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323592192).

213232110 is an abundant number, since it is smaller than the sum of its proper divisors (433952274).

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

213232110 is a wasteful number, since it uses less digits than its factorization.

213232110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213232110 is about 14602.4693117294. The cubic root of 213232110 is about 597.4261131887.

Adding to 213232110 its reverse (11232312), we get a palindrome (224464422).

The spelling of 213232110 in words is "two hundred thirteen million, two hundred thirty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 37 39 42 65 70 74 78 91 105 111 130 182 185 195 210 222 259 273 370 390 455 481 518 546 555 777 910 962 1110 1295 1365 1443 1554 2111 2405 2590 2730 2886 3367 3885 4222 4810 6333 6734 7215 7770 10101 10555 12666 14430 14777 16835 20202 21110 27443 29554 31665 33670 44331 50505 54886 63330 73885 78107 82329 88662 101010 137215 147770 156214 164658 192101 221655 234321 274430 384202 390535 411645 443310 468642 546749 576303 781070 823290 960505 1015391 1093498 1152606 1171605 1640247 1921010 2030782 2343210 2733745 2881515 3046173 3280494 5076955 5467490 5763030 6092346 7107737 8201235 10153910 14215474 15230865 16402470 21323211 30461730 35538685 42646422 71077370 106616055 213232110