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211211101220 = 22572695608367
BaseRepresentation
bin1100010010110100101…
…0011010010000100100
3202012011122221122011112
43010231022122100210
511430030020214340
6241010134524152
721155002511210
oct3045512322044
9665148848145
10211211101220
1181635184509
1234b26206658
1316bbcbb9992
14a319023940
155762812065
hex312d29a424

211211101220 has 48 divisors (see below), whose sum is σ = 508791144960. Its totient is φ = 72146020224.

The previous prime is 211211101183. The next prime is 211211101237. The reversal of 211211101220 is 22101112112.

It is a super-2 number, since 2×2112111012202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 211211101195 and 211211101204.

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, 2766524 + ... + 2841843.

It is an arithmetic number, because the mean of its divisors is an integer number (10599815520).

Almost surely, 2211211101220 is an apocalyptic number.

211211101220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211211101220 is an abundant number, since it is smaller than the sum of its proper divisors (297580043740).

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

211211101220 is a wasteful number, since it uses less digits than its factorization.

211211101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5608652 (or 5608650 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211211101220 its reverse (22101112112), we get a palindrome (233312213332).

The spelling of 211211101220 in words is "two hundred eleven billion, two hundred eleven million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 269 538 1076 1345 1883 2690 3766 5380 7532 9415 18830 37660 5608367 11216734 22433468 28041835 39258569 56083670 78517138 112167340 157034276 196292845 392585690 785171380 1508650723 3017301446 6034602892 7543253615 10560555061 15086507230 21121110122 30173014460 42242220244 52802775305 105605550610 211211101220