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1020212222320 = 24599112868469
BaseRepresentation
bin11101101100010010110…
…00110001100101110000
310121112100100021201000201
432312021120301211300
5113203343312103240
62100402400324544
7133464544543624
oct16661130614560
93545310251021
101020212222320
11363740225765
12145883013754
13752899199c5
14375429b3184
151b810e52d9a
hexed89631970

1020212222320 has 40 divisors (see below), whose sum is σ = 2374387136640. Its totient is φ = 407673066240.

The previous prime is 1020212222257. The next prime is 1020212222327. The reversal of 1020212222320 is 232222120201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10202122223202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020212222327) 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 7 ways as a sum of consecutive naturals, for example, 6354955 + ... + 6513514.

It is an arithmetic number, because the mean of its divisors is an integer number (59359678416).

Almost surely, 21020212222320 is an apocalyptic number.

1020212222320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212222320 is an abundant number, since it is smaller than the sum of its proper divisors (1354174914320).

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

1020212222320 is a wasteful number, since it uses less digits than its factorization.

1020212222320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12869473 (or 12869467 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 1020212222320 its reverse (232222120201), we get a palindrome (1252434342521).

The spelling of 1020212222320 in words is "one trillion, twenty billion, two hundred twelve million, two hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 991 1982 3964 4955 7928 9910 15856 19820 39640 79280 12868469 25736938 51473876 64342345 102947752 128684690 205895504 257369380 514738760 1029477520 12752652779 25505305558 51010611116 63763263895 102021222232 127526527790 204042444464 255053055580 510106111160 1020212222320