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1020212220220 = 225311931852151
BaseRepresentation
bin11101101100010010110…
…00110001000100111100
310121112100100021121010221
432312021120301010330
5113203343312021340
62100402400311124
7133464544534534
oct16661130610474
93545310247127
101020212220220
11363740224126
121458830124a4
1375289918a6b
14375429b24c4
151b810e5244a
hexed8963113c

1020212220220 has 48 divisors (see below), whose sum is σ = 2212704700416. Its totient is φ = 394715880000.

The previous prime is 1020212220217. The next prime is 1020212220227. The reversal of 1020212220220 is 220222120201.

It is a junction number, because it is equal to n+sod(n) for n = 1020212220194 and 1020212220203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212220227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 771145 + ... + 1623295.

It is an arithmetic number, because the mean of its divisors is an integer number (46098014592).

Almost surely, 21020212220220 is an apocalyptic number.

1020212220220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212220220 is an abundant number, since it is smaller than the sum of its proper divisors (1192492480196).

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

1020212220220 is a wasteful number, since it uses less digits than its factorization.

1020212220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854122 (or 854120 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 1020212220220 its reverse (220222120201), we get a palindrome (1240434340421).

The spelling of 1020212220220 in words is "one trillion, twenty billion, two hundred twelve million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1931 3862 7724 9655 19310 38620 59861 119722 239444 299305 598610 852151 1197220 1704302 3408604 4260755 8521510 17043020 26416681 52833362 105666724 132083405 264166810 528333620 1645503581 3291007162 6582014324 8227517905 16455035810 32910071620 51010611011 102021222022 204042444044 255053055055 510106110110 1020212220220