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214301113101330 = 235174351671891243
BaseRepresentation
bin110000101110011111011101…
…101110001010110000010010
31001002202222122000222110001020
4300232133131232022300102
5211042102134423220310
62035440323335220310
763065513234061153
oct6056373556126022
91032688560873036
10214301113101330
1162312656588792
1220050ba9217696
13927667b82b768
143acc32cd8392a
1519b96e521e170
hexc2e7ddb8ac12

214301113101330 has 128 divisors (see below), whose sum is σ = 557349667319808. Its totient is φ = 52524359580672.

The previous prime is 214301113101329. The next prime is 214301113101367. The reversal of 214301113101330 is 33101311103412.

It is a self number, because there is not a number n which added to its sum of digits gives 214301113101330.

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, 112366689 + ... + 114257931.

It is an arithmetic number, because the mean of its divisors is an integer number (4354294275936).

Almost surely, 2214301113101330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214301113101330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278674833659904).

214301113101330 is an abundant number, since it is smaller than the sum of its proper divisors (343048554218478).

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

214301113101330 is a wasteful number, since it uses less digits than its factorization.

214301113101330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896480.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 214301113101330 its reverse (33101311103412), we get a palindrome (247402424204742).

The spelling of 214301113101330 in words is "two hundred fourteen trillion, three hundred one billion, one hundred thirteen million, one hundred one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 43 51 85 86 102 129 170 215 255 258 430 510 645 731 1290 1462 2193 3655 4386 5167 7310 10334 10965 15501 21930 25835 31002 51670 77505 87839 155010 175678 222181 263517 439195 444362 527034 666543 878390 1110905 1317585 1333086 1891243 2221810 2635170 3332715 3777077 3782486 5673729 6665430 7554154 9456215 11331231 11347458 18885385 18912430 22662462 28368645 32151131 37770770 56656155 56737290 64302262 81323449 96453393 113312310 160755655 162646898 192906786 243970347 321511310 406617245 482266965 487940694 813234490 964533930 1219851735 1382498633 2439703470 2764997266 4147495899 6912493165 8294991798 9772052581 13824986330 19544105162 20737479495 29316157743 41474958990 48860262905 58632315486 97720525810 146580788715 166124893877 293161577430 332249787754 420198260983 498374681631 830624469385 840396521966 996749363262 1260594782949 1661248938770 2100991304915 2491873408155 2521189565898 4201982609830 4983746816310 6302973914745 7143370436711 12605947829490 14286740873422 21430111310133 35716852183555 42860222620266 71433704367110 107150556550665 214301113101330