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211202211112220 = 225731991193960887
BaseRepresentation
bin110000000001011001011000…
…110001001110010100011100
31000200210201211020011120010102
4300001121120301032110130
5210140314112021042340
62025104542323000232
762325566451555356
oct6001313061162434
91020721736146112
10211202211112220
116132839a162829
121b8304a1209078
1390b038ab24613
143a22354bac0d6
151963cc2d82215
hexc01658c4e51c

211202211112220 has 96 divisors (see below), whose sum is σ = 451904890752000. Its totient is φ = 82896594891264.

The previous prime is 211202211112183. The next prime is 211202211112273. The reversal of 211202211112220 is 22211112202112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211202211112192 and 211202211112201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3468726617 + ... + 3468787503.

It is an arithmetic number, because the mean of its divisors is an integer number (4707342612000).

Almost surely, 2211202211112220 is an apocalyptic number.

211202211112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211202211112220 is an abundant number, since it is smaller than the sum of its proper divisors (240702679639780).

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

211202211112220 is a wasteful number, since it uses less digits than its factorization.

211202211112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73107 (or 73105 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211202211112220 its reverse (22211112202112), we get a palindrome (233413323314332).

The spelling of 211202211112220 in words is "two hundred eleven trillion, two hundred two billion, two hundred eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 73 146 199 292 365 398 730 796 995 1460 1990 3980 11939 14527 23878 29054 47756 58108 59695 60887 72635 119390 121774 145270 238780 243548 290540 304435 608870 871547 1217740 1743094 2375861 3486188 4357735 4444751 4751722 8715470 8889502 9503444 11879305 12116513 17430940 17779004 22223755 23758610 24233026 44447510 47517220 48466052 60582565 88895020 121165130 173437853 242330260 346875706 693751412 726929893 867189265 884505449 1453859786 1734378530 1769010898 2907719572 3468757060 3538021796 3634649465 4422527245 7269298930 8845054490 14538597860 17690108980 53065882189 106131764378 144659048707 212263528756 265329410945 289318097414 530658821890 578636194828 723295243535 1061317643780 1446590487070 2893180974140 10560110555611 21120221111222 42240442222444 52800552778055 105601105556110 211202211112220