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213213110320110 = 235131139491794923
BaseRepresentation
bin110000011110101010001011…
…101100111011101111101110
31000221220222022020210112112210
4300132222023230323233232
5210421240422220220420
62033244430051511250
762624065431034635
oct6036521354735756
91027828266715483
10213213110320110
1161a3319935983a
121bab61672b8526
1391c7baa453114
143a917d8db251c
15199b267b3e9e0
hexc1ea8bb3bbee

213213110320110 has 128 divisors (see below), whose sum is σ = 520385486100480. Its totient is φ = 55902730665600.

The previous prime is 213213110320099. The next prime is 213213110320117. The reversal of 213213110320110 is 11023011312312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213213110320117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 267821109 + ... + 268616031.

It is an arithmetic number, because the mean of its divisors is an integer number (4065511610160).

Almost surely, 2213213110320110 is an apocalyptic number.

213213110320110 is an abundant number, since it is smaller than the sum of its proper divisors (307172375780370).

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

213213110320110 is a wasteful number, since it uses less digits than its factorization.

213213110320110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795694.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 213213110320110 its reverse (11023011312312), we get a palindrome (224236121632422).

The spelling of 213213110320110 in words is "two hundred thirteen trillion, two hundred thirteen billion, one hundred ten million, three hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 131 139 262 278 393 417 491 655 695 786 834 982 1310 1390 1473 1965 2085 2455 2946 3930 4170 4910 7365 14730 18209 36418 54627 64321 68249 91045 109254 128642 136498 182090 192963 204747 273135 321605 341245 385926 409494 546270 643210 682490 794923 964815 1023735 1589846 1929630 2047470 2384769 3974615 4769538 7949230 8940619 11923845 17881238 23847690 26821857 44703095 53643714 89406190 104134913 110494297 134109285 208269826 220988594 268218570 312404739 331482891 390307193 520674565 552471485 624809478 662965782 780614386 1041349130 1104942970 1170921579 1562023695 1657414455 1951535965 2341843158 3124047390 3314828910 3903071930 5854607895 11709215790 14474752907 28949505814 43424258721 51130242283 54252699827 72373764535 86848517442 102260484566 108505399654 144747529070 153390726849 162758099481 217121293605 255651211415 271263499135 306781453698 325516198962 434242587210 511302422830 542526998270 766953634245 813790497405 1533907268490 1627580994810 7107103677337 14214207354674 21321311032011 35535518386685 42642622064022 71071036773370 106606555160055 213213110320110