Search a number
-
+
213222321122200 = 235213292827882243
BaseRepresentation
bin110000011110110010110000…
…101101010110101110011000
31000221221212002011112202122221
4300132302300231112232120
5210421413303201402300
62033252552043153424
762624542613413225
oct6036626055265630
91027855064482587
10213222321122200
1161a37095640775
121bab7ab7b15874
1391c8a177a0380
143a920303bc94c
15199b6065ab31a
hexc1ecb0b56b98

213222321122200 has 96 divisors (see below), whose sum is σ = 552285402253200. Its totient is φ = 76013474664960.

The previous prime is 213222321122197. The next prime is 213222321122227. The reversal of 213222321122200 is 2221123222312.

213222321122200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 1413865722 + ... + 1414016521.

Almost surely, 2213222321122200 is an apocalyptic number.

213222321122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213222321122200 is an abundant number, since it is smaller than the sum of its proper divisors (339063081131000).

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

213222321122200 is a wasteful number, since it uses less digits than its factorization.

213222321122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827882301 (or 2827882292 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 213222321122200 its reverse (2221123222312), we get a palindrome (215443444344512).

The spelling of 213222321122200 in words is "two hundred thirteen trillion, two hundred twenty-two billion, three hundred twenty-one million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 29 40 50 52 58 65 100 104 116 130 145 200 232 260 290 325 377 520 580 650 725 754 1160 1300 1450 1508 1885 2600 2900 3016 3770 5800 7540 9425 15080 18850 37700 75400 2827882243 5655764486 11311528972 14139411215 22623057944 28278822430 36762469159 56557644860 70697056075 73524938318 82008585047 113115289720 141394112150 147049876636 164017170094 183812345795 282788224300 294099753272 328034340188 367624691590 410042925235 565576448600 656068680376 735249383180 820085850470 919061728975 1066111605611 1470498766360 1640171700940 1838123457950 2050214626175 2132223211222 3280343401880 3676246915900 4100429252350 4264446422444 5330558028055 7352493831800 8200858504700 8528892844888 10661116056110 16401717009400 21322232112220 26652790140275 42644464224440 53305580280550 106611160561100 213222321122200