Search a number
-
+
211221220020 = 223520107175081
BaseRepresentation
bin1100010010110111000…
…1000000101010110100
3202012012100222201112220
43010231301000222310
511430040113020040
6241011135442340
721155154514116
oct3045561005264
9665170881486
10211221220020
118163a965958
1234b296863b0
1316bc2020635
14a31a4d93b6
1557636602d0
hex312dc40ab4

211221220020 has 48 divisors (see below), whose sum is σ = 591452207808. Its totient is φ = 56322535680.

The previous prime is 211221220019. The next prime is 211221220043. The reversal of 211221220020 is 20022122112.

It is a super-2 number, since 2×2112212200202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1118880 + ... + 1293960.

It is an arithmetic number, because the mean of its divisors is an integer number (12321920996).

Almost surely, 2211221220020 is an apocalyptic number.

211221220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221220020 is an abundant number, since it is smaller than the sum of its proper divisors (380230987788).

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

211221220020 is a wasteful number, since it uses less digits than its factorization.

211221220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195200 (or 195198 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211221220020 its reverse (20022122112), we get a palindrome (231243342132).

The spelling of 211221220020 in words is "two hundred eleven billion, two hundred twenty-one million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 20107 40214 60321 80428 100535 120642 175081 201070 241284 301605 350162 402140 525243 603210 700324 875405 1050486 1206420 1750810 2100972 2626215 3501620 5252430 10504860 3520353667 7040707334 10561061001 14081414668 17601768335 21122122002 35203536670 42244244004 52805305005 70407073340 105610610010 211221220020