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213222200120 = 23517223801949
BaseRepresentation
bin1100011010010100001…
…0001001001100111000
3202101100211012001012222
43012211002021030320
511443134340400440
6241541455423212
721255562540256
oct3064502111470
9671324161188
10213222200120
1182477411916
12353a7824b08
131715074bb27
14a46a16b5d6
15582e1682b5
hex31a5089338

213222200120 has 96 divisors (see below), whose sum is σ = 531789084000. Its totient is φ = 76781709312.

The previous prime is 213222200117. The next prime is 213222200123. The reversal of 213222200120 is 21002222312.

213222200120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213222200117) and next prime (213222200123).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213222200123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135095 + ... + 666854.

It is an arithmetic number, because the mean of its divisors is an integer number (5539469625).

Almost surely, 2213222200120 is an apocalyptic number.

213222200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213222200120 is an abundant number, since it is smaller than the sum of its proper divisors (318566883880).

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

213222200120 is a wasteful number, since it uses less digits than its factorization.

213222200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802017 (or 801996 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 213222200120 its reverse (21002222312), we get a palindrome (234224422432).

The spelling of 213222200120 in words is "two hundred thirteen billion, two hundred twenty-two million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 289 340 391 460 578 680 782 920 1156 1445 1564 1955 2312 2890 3128 3910 5780 6647 7820 11560 13294 15640 26588 33235 53176 66470 132940 265880 801949 1603898 3207796 4009745 6415592 8019490 13633133 16038980 18444827 27266266 32077960 36889654 54532532 68165665 73779308 92224135 109065064 136331330 147558616 184448270 231763261 272662660 313562059 368896540 463526522 545325320 627124118 737793080 927053044 1158816305 1254248236 1567810295 1854106088 2317632610 2508496472 3135620590 4635265220 5330555003 6271241180 9270530440 10661110006 12542482360 21322220012 26652775015 42644440024 53305550030 106611100060 213222200120