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20212213320 = 23325134318849
BaseRepresentation
bin10010110100101111…
…011110011001001000
31221011121211211012100
4102310233132121020
5312343311311240
613141345513400
71313606656425
oct226457363110
957147754170
1020212213320
1186322a4032
123b01042860
131ba164a050
14d9a566d4c
157d46d8e30
hex4b4bde648

20212213320 has 96 divisors (see below), whose sum is σ = 70742763000. Its totient is φ = 4975312896.

The previous prime is 20212213313. The next prime is 20212213321. The reversal of 20212213320 is 2331221202.

It can be written as a sum of positive squares in 4 ways, for example, as 13269657636 + 6942555684 = 115194^2 + 83322^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20212213293 and 20212213302.

It is not an unprimeable number, because it can be changed into a prime (20212213321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2154745 + ... + 2164104.

Almost surely, 220212213320 is an apocalyptic number.

20212213320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212213320 is an abundant number, since it is smaller than the sum of its proper divisors (50530549680).

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

20212213320 is a wasteful number, since it uses less digits than its factorization.

20212213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4318879 (or 4318872 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20212213320 its reverse (2331221202), we get a palindrome (22543434522).

The spelling of 20212213320 in words is "twenty billion, two hundred twelve million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 4318849 8637698 12956547 17275396 21594245 25913094 34550792 38869641 43188490 51826188 56145037 64782735 77739282 86376980 103652376 112290074 129565470 155478564 168435111 172753960 194348205 224580148 259130940 280725185 310957128 336870222 388696410 449160296 505305333 518261880 561450370 673740444 777392820 842175555 1010610666 1122900740 1347480888 1554785640 1684351110 2021221332 2245801480 2526526665 3368702220 4042442664 5053053330 6737404440 10106106660 20212213320