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211221022101020 = 22528518707425443
BaseRepresentation
bin110000000001101010111001…
…111111011100111000011100
31000200212112101012100210122022
4300001222321333130320130
5210141121123124213040
62025121333055435312
762330133555412331
oct6001527177347034
91020775335323568
10211221022101020
1161335372501068
121b834070b25b38
1390b2098084719
143a2321b1c4988
1519645245336b5
hexc01ab9fdce1c

211221022101020 has 48 divisors (see below), whose sum is σ = 443771732707968. Its totient is φ = 84448875585600.

The previous prime is 211221022100947. The next prime is 211221022101041. The reversal of 211221022101020 is 20101220122112.

It is a super-2 number, since 2×2112210221010202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 211221022101020.

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, 496260419 + ... + 496685861.

It is an arithmetic number, because the mean of its divisors is an integer number (9245244431416).

Almost surely, 2211221022101020 is an apocalyptic number.

211221022101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221022101020 is an abundant number, since it is smaller than the sum of its proper divisors (232550710606948).

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

211221022101020 is a wasteful number, since it uses less digits than its factorization.

211221022101020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437010 (or 437008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 211221022101020 its reverse (20101220122112), we get a palindrome (231322242223132).

The spelling of 211221022101020 in words is "two hundred eleven trillion, two hundred twenty-one billion, twenty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 2851 5702 8707 11404 14255 17414 28510 34828 43535 57020 87070 174140 425443 850886 1701772 2127215 4254430 8508860 24823657 49647314 99294628 124118285 248236570 496473140 1212937993 2425875986 3704332201 4851751972 6064689965 7408664402 12129379930 14817328804 18521661005 24258759860 37043322010 74086644020 10561051105051 21122102210102 42244204420204 52805255525255 105610511050510 211221022101020