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20212211320 = 2357224332183
BaseRepresentation
bin10010110100101111…
…011101111001111000
31221011121211201110021
4102310233131321320
5312343311230240
613141345500224
71313606650540
oct226457357170
957147751407
1020212211320
1186322a2584
123b01041674
131ba1649172
14d9a566320
157d46d854a
hex4b4bdde78

20212211320 has 64 divisors (see below), whose sum is σ = 51999045120. Its totient is φ = 6926596224.

The previous prime is 20212211309. The next prime is 20212211329. The reversal of 20212211320 is 2311221202.

It is a happy number.

It is a super-2 number, since 2×202122113202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20212211294 and 20212211303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212211329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611949 + ... + 644131.

It is an arithmetic number, because the mean of its divisors is an integer number (812485080).

Almost surely, 220212211320 is an apocalyptic number.

20212211320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212211320 is an abundant number, since it is smaller than the sum of its proper divisors (31786833800).

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

20212211320 is a wasteful number, since it uses less digits than its factorization.

20212211320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34444 (or 34440 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20212211320 its reverse (2311221202), we get a palindrome (22523432522).

The spelling of 20212211320 in words is "twenty billion, two hundred twelve million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 2243 4486 8972 11215 15701 17944 22430 31402 32183 44860 62804 64366 78505 89720 125608 128732 157010 160915 225281 257464 314020 321830 450562 628040 643660 901124 1126405 1287320 1802248 2252810 4505620 9011240 72186469 144372938 288745876 360932345 505305283 577491752 721864690 1010610566 1443729380 2021221132 2526526415 2887458760 4042442264 5053052830 10106105660 20212211320