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211202112112220 = 225172632361911341
BaseRepresentation
bin110000000001011001010010…
…110111100100011001011100
31000200210201120022212211122202
4300001121102313210121130
5210140313411200042340
62025104524425031032
762325564140226545
oct6001312267443134
91020721508784582
10211202112112220
1161328349294649
121b830474025478
1390b0373471038
143a2234599b4cc
151963cb9328c15
hexc01652de465c

211202112112220 has 48 divisors (see below), whose sum is σ = 471399713281728. Its totient is φ = 79209058698240.

The previous prime is 211202112112133. The next prime is 211202112112241. The reversal of 211202112112220 is 22211211202112.

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 = 211202112112192 and 211202112112201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1180866251 + ... + 1181045090.

It is an arithmetic number, because the mean of its divisors is an integer number (9820827360036).

Almost surely, 2211202112112220 is an apocalyptic number.

211202112112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211202112112220 is an abundant number, since it is smaller than the sum of its proper divisors (260197601169508).

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

211202112112220 is a wasteful number, since it uses less digits than its factorization.

211202112112220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2361911630 (or 2361911628 counting only the distinct ones).

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

Adding to 211202112112220 its reverse (22211211202112), we get a palindrome (233413323314332).

The spelling of 211202112112220 in words is "two hundred eleven trillion, two hundred two billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 263 340 526 1052 1315 2630 4471 5260 8942 17884 22355 44710 89420 2361911341 4723822682 9447645364 11809556705 23619113410 40152492797 47238226820 80304985594 160609971188 200762463985 401524927970 621182682683 803049855940 1242365365366 2484730730732 3105913413415 6211826826830 10560105605611 12423653653660 21120211211222 42240422422444 52800528028055 105601056056110 211202112112220