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202122003420 = 223251959100001
BaseRepresentation
bin1011110000111101101…
…0010000001111011100
3201022201020012121221200
42330033122100033130
511302421213102140
6232504211555500
720413525452621
oct2741732201734
9638636177850
10202122003420
11787a0668837
123320a2bbb90
13160a1b422bc
149ad5c58348
1553ce8d6030
hex2f0f6903dc

202122003420 has 72 divisors (see below), whose sum is σ = 645372021840. Its totient is φ = 51062400000.

The previous prime is 202122003403. The next prime is 202122003427. The reversal of 202122003420 is 24300221202.

202122003420 is a `hidden beast` number, since 2 + 0 + 21 + 220 + 0 + 3 + 420 = 666.

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 = 202122003393 and 202122003402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202122003427) 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, 29546581 + ... + 29553420.

Almost surely, 2202122003420 is an apocalyptic number.

202122003420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122003420 is an abundant number, since it is smaller than the sum of its proper divisors (443250018420).

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

202122003420 is a wasteful number, since it uses less digits than its factorization.

202122003420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59100035 (or 59100030 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 202122003420 its reverse (24300221202), we get a palindrome (226422224622).

The spelling of 202122003420 in words is "two hundred two billion, one hundred twenty-two million, three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 59100001 118200002 177300003 236400004 295500005 354600006 531900009 591000010 709200012 886500015 1063800018 1122900019 1182000020 1773000030 2127600036 2245800038 2659500045 3368700057 3546000060 4491600076 5319000090 5614500095 6737400114 10106100171 10638000180 11229000190 13474800228 16843500285 20212200342 22458000380 33687000570 40424400684 50530500855 67374001140 101061001710 202122003420