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213001313399200 = 25522179464326317
BaseRepresentation
bin110000011011100100111011…
…100111110011000110100000
31000221011201121202112011211201
4300123210323213303012200
5210404303142212233300
62033003241424450544
762602560052644334
oct6033447347630640
91027151552464751
10213001313399200
1161961393532327
121ba810b8a79a54
1391b0c26094091
143a854662577c4
1519959bdbb166a
hexc1b93b9f31a0

213001313399200 has 144 divisors (see below), whose sum is σ = 520359910771680. Its totient is φ = 85139847429120.

The previous prime is 213001313399111. The next prime is 213001313399233. The reversal of 213001313399200 is 2993313100312.

213001313399200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 213001313399200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8093664442 + ... + 8093690758.

It is an arithmetic number, because the mean of its divisors is an integer number (3613610491470).

Almost surely, 2213001313399200 is an apocalyptic number.

213001313399200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001313399200 is an abundant number, since it is smaller than the sum of its proper divisors (307358597372480).

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

213001313399200 is a wasteful number, since it uses less digits than its factorization.

213001313399200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33159 (or 33146 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 37.

Adding to 213001313399200 its reverse (2993313100312), we get a palindrome (215994626499512).

The spelling of 213001313399200 in words is "two hundred thirteen trillion, one billion, three hundred thirteen million, three hundred ninety-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 2179 4358 4643 8716 9286 10895 17432 18572 21790 23215 26317 34864 37144 43580 46430 52634 54475 69728 74288 87160 92860 105268 108950 116075 131585 148576 174320 185720 210536 217900 232150 263170 348640 371440 421072 435800 464300 526340 657925 742880 842144 871600 928600 1052680 1315850 1743200 1857200 2105360 2631700 3714400 4210720 5263400 10117097 10526800 20234194 21053600 40468388 50585485 57344743 80936776 101170970 114689486 122189831 161873552 202341940 229378972 244379662 252927425 286723715 323747104 404683880 458757944 488759324 505854850 573447430 610949155 809367760 917515888 977518648 1011709700 1146894860 1221898310 1433618575 1618735520 1835031776 1955037296 2023419400 2293789720 2443796620 2867237150 3054745775 3910074592 4046838800 4587579440 4887593240 5734474300 6109491550 8093677600 9175158880 9775186480 11468948600 12218983100 19550372960 22937897200 24437966200 45875794400 48875932400 97751864800 266251641749 532503283498 1065006566996 1331258208745 2130013133992 2662516417490 4260026267984 5325032834980 6656291043725 8520052535968 10650065669960 13312582087450 21300131339920 26625164174900 42600262679840 53250328349800 106500656699600 213001313399200