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211211022211220 = 22579586792278121
BaseRepresentation
bin110000000001100001100101…
…111100111001100010010100
31000200211120120021210202200102
4300001201211330321202110
5210140440133141224340
62025113000515233232
762326331011636553
oct6001414574714224
91020746507722612
10211211022211220
1161331100861929
121b83213bba8818
1390b1163405475
143a2294d08dd9a
15196413b698215
hexc01865f39894

211211022211220 has 48 divisors (see below), whose sum is σ = 449165468505600. Its totient is φ = 83413527824640.

The previous prime is 211211022211207. The next prime is 211211022211243. The reversal of 211211022211220 is 22112220112112.

It is a super-2 number, since 2×2112110222112202 (a number of 29 digits) contains 22 as substring.

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 = 211211022211192 and 211211022211201.

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, 91573760 + ... + 93851880.

It is an arithmetic number, because the mean of its divisors is an integer number (9357613927200).

Almost surely, 2211211022211220 is an apocalyptic number.

211211022211220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211022211220 is an abundant number, since it is smaller than the sum of its proper divisors (237954446294380).

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

211211022211220 is a wasteful number, since it uses less digits than its factorization.

211211022211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336888 (or 2336886 counting only the distinct ones).

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

Adding to 211211022211220 its reverse (22112220112112), we get a palindrome (233323242323332).

The spelling of 211211022211220 in words is "two hundred eleven trillion, two hundred eleven billion, twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 58679 117358 234716 293395 586790 1173580 2278121 4556242 4635641 9112484 9271282 11390605 18542564 22781210 23178205 45562420 46356410 92712820 179971559 359943118 719886236 899857795 1799715590 3599431180 133677862159 267355724318 534711448636 668389310795 1336778621590 2673557243180 10560551110561 21121102221122 42242204442244 52802755552805 105605511105610 211211022211220