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220013101110 = 235113137581261
BaseRepresentation
bin1100110011100111001…
…1011000000000110110
3210000220002110120002110
43030321303120000312
512101041323213420
6245023404151450
721616062334365
oct3147163300066
9700802416073
10220013101110
1185341729290
1236781b38586
131799363303a
14a9120177dc
155aca42bee0
hex3339cd8036

220013101110 has 128 divisors (see below), whose sum is σ = 610687807488. Its totient is φ = 50220864000.

The previous prime is 220013101039. The next prime is 220013101151. The reversal of 220013101110 is 11101310022.

It is a Curzon number.

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, 87880 + ... + 669140.

It is an arithmetic number, because the mean of its divisors is an integer number (4770998496).

Almost surely, 2220013101110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220013101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305343903744).

220013101110 is an abundant number, since it is smaller than the sum of its proper divisors (390674706378).

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

220013101110 is a wasteful number, since it uses less digits than its factorization.

220013101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581350.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 220013101110 its reverse (11101310022), we get a palindrome (231114411132).

It can be divided in two parts, 220013 and 101110, that added together give a palindrome (321123).

The spelling of 220013101110 in words is "two hundred twenty billion, thirteen million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 37 55 62 66 74 93 110 111 155 165 185 186 222 310 330 341 370 407 465 555 682 814 930 1023 1110 1147 1221 1705 2035 2046 2294 2442 3410 3441 4070 5115 5735 6105 6882 10230 11470 12210 12617 17205 25234 34410 37851 63085 75702 126170 189255 378510 581261 1162522 1743783 2906305 3487566 5812610 6393871 8718915 12787742 17437830 18019091 19181613 21506657 31969355 36038182 38363226 43013314 54057273 63938710 64519971 90095455 95908065 107533285 108114546 129039942 180190910 191816130 198210001 215066570 236573227 270286365 322599855 396420002 473146454 540572730 594630003 645199710 666706367 709719681 991050005 1182866135 1189260006 1333412734 1419439362 1982100010 2000119101 2365732270 2973150015 3333531835 3548598405 4000238202 5946300030 6667063670 7097196810 7333770037 10000595505 14667540074 20001191010 22001310111 36668850185 44002620222 73337700370 110006550555 220013101110