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211201120020 = 2235113049104953
BaseRepresentation
bin1100010010110010010…
…0010101011100010100
3202012010222011112112110
43010230210111130110
511430014441320040
6241005140551020
721154521620412
oct3045444253424
9665128145473
10211201120020
118162a587490
1234b229b2470
1316bbab03847
14a3179862b2
1557619de980
hex312c915714

211201120020 has 96 divisors (see below), whose sum is σ = 645341155200. Its totient is φ = 51182991360.

The previous prime is 211201120007. The next prime is 211201120027. The reversal of 211201120020 is 20021102112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211201119978 and 211201120005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201120027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1959864 + ... + 2064816.

It is an arithmetic number, because the mean of its divisors is an integer number (6722303700).

Almost surely, 2211201120020 is an apocalyptic number.

211201120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201120020 is an abundant number, since it is smaller than the sum of its proper divisors (434140035180).

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

211201120020 is a wasteful number, since it uses less digits than its factorization.

211201120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108025 (or 108023 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211201120020 its reverse (20021102112), we get a palindrome (231222222132).

The spelling of 211201120020 in words is "two hundred eleven billion, two hundred one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 3049 6098 9147 12196 15245 18294 30490 33539 36588 45735 60980 67078 91470 100617 104953 134156 167695 182940 201234 209906 314859 335390 402468 419812 503085 524765 629718 670780 1006170 1049530 1154483 1259436 1574295 2012340 2099060 2308966 3148590 3463449 4617932 5772415 6297180 6926898 11544830 13853796 17317245 23089660 34634490 69268980 320001697 640003394 960005091 1280006788 1600008485 1920010182 3200016970 3520018667 3840020364 4800025455 6400033940 7040037334 9600050910 10560056001 14080074668 17600093335 19200101820 21120112002 35200186670 42240224004 52800280005 70400373340 105600560010 211201120020