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213078930036 = 22371717924657
BaseRepresentation
bin1100011001110001111…
…1100111001001110100
3202100222211121011121120
43012130133213021310
511442341201230121
6241515340543540
721252203010240
oct3063437471164
9670884534546
10213078930036
1182403556995
1235367851bb0
1317129b6822b
14a455115420
1558217b7bc6
hex319c7e7274

213078930036 has 144 divisors (see below), whose sum is σ = 605144405376. Its totient is φ = 56966197248.

The previous prime is 213078930023. The next prime is 213078930047. The reversal of 213078930036 is 630039870312.

It is a happy number.

It is a super-2 number, since 2×2130789300362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 213078930036.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45752220 + ... + 45756876.

It is an arithmetic number, because the mean of its divisors is an integer number (4202391704).

Almost surely, 2213078930036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213078930036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302572202688).

213078930036 is an abundant number, since it is smaller than the sum of its proper divisors (392065475340).

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

213078930036 is a wasteful number, since it uses less digits than its factorization.

213078930036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5046 (or 4865 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 213078930036 in words is "two hundred thirteen billion, seventy-eight million, nine hundred thirty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 179 204 238 357 358 476 537 714 716 1074 1253 1428 2148 2506 3043 3759 4657 5012 6086 7518 9129 9314 12172 13971 15036 18258 18628 21301 27942 32041 32599 36516 42602 55884 63903 64082 65198 79169 85204 96123 97797 127806 128164 130396 158338 192246 195594 224287 237507 255612 316676 384492 391188 448574 475014 544697 554183 672861 833603 897148 950028 1089394 1108366 1345722 1634091 1662549 1667206 2178788 2216732 2500809 2691444 3268182 3325098 3334412 3812879 5001618 5835221 6536364 6650196 7625758 10003236 11438637 11670442 14171251 15251516 17505663 22877274 23340884 28342502 35011326 42513753 45754548 56685004 70022652 85027506 99198757 149214937 170055012 198397514 297596271 298429874 396795028 447644811 595192542 596859748 895289622 1044504559 1190385084 1790579244 2089009118 2536653929 3133513677 4178018236 5073307858 6267027354 7609961787 10146615716 12534054708 15219923574 17756577503 30439847148 35513155006 53269732509 71026310012 106539465018 213078930036