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211131300103320 = 23359649182342989
BaseRepresentation
bin110000000000010111010110…
…001001001100010010011000
31000200112221210022121001222110
4300000113112021030102120
5210133133400311301240
62025012214045552320
762320506303126162
oct6000272611142230
91020487708531873
10211131300103320
11613003107aa243
121b81a7b12756a0
1390a6799a2a75c
143a1cb491b1932
1519620227bcc80
hexc005d624c498

211131300103320 has 64 divisors (see below), whose sum is σ = 633459547260000. Its totient is φ = 56295844743168.

The previous prime is 211131300103289. The next prime is 211131300103327. The reversal of 211131300103320 is 23301003131112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211131300103327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90013615 + ... + 92329374.

Almost surely, 2211131300103320 is an apocalyptic number.

211131300103320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131300103320 is an abundant number, since it is smaller than the sum of its proper divisors (422328247156680).

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

211131300103320 is a wasteful number, since it uses less digits than its factorization.

211131300103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182352652 (or 182352648 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 211131300103320 its reverse (23301003131112), we get a palindrome (234432303234432).

The spelling of 211131300103320 in words is "two hundred eleven trillion, one hundred thirty-one billion, three hundred million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 9649 19298 28947 38596 48245 57894 77192 96490 115788 144735 192980 231576 289470 385960 578940 1157880 182342989 364685978 547028967 729371956 911714945 1094057934 1458743912 1823429890 2188115868 2735144835 3646859780 4376231736 5470289670 7293719560 10940579340 21881158680 1759427500861 3518855001722 5278282502583 7037710003444 8797137504305 10556565005166 14075420006888 17594275008610 21113130010332 26391412512915 35188550017220 42226260020664 52782825025830 70377100034440 105565650051660 211131300103320