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200000202120 = 233251361408197
BaseRepresentation
bin1011101001000011110…
…0001110010110001000
3201010020100122221202100
42322100330032112020
511234100022431440
6231513454233400
720310122445165
oct2722074162610
9633210587670
10200000202120
117790199a044
12329177b5860
1315b24390184
14997413506c
1553084b4230
hex2e90f0e588

200000202120 has 96 divisors (see below), whose sum is σ = 650479840920. Its totient is φ = 53294069760.

The previous prime is 200000202119. The next prime is 200000202131. The reversal of 200000202120 is 21202000002.

It can be written as a sum of positive squares in 4 ways, for example, as 173144203236 + 26855998884 = 416106^2 + 163878^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285862 + ... + 694058.

Almost surely, 2200000202120 is an apocalyptic number.

200000202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200000202120 is an abundant number, since it is smaller than the sum of its proper divisors (450479638800).

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

200000202120 is a wasteful number, since it uses less digits than its factorization.

200000202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409575 (or 409568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 200000202120 its reverse (21202000002), we get a palindrome (221202202122).

The spelling of 200000202120 in words is "two hundred billion, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1361 2722 4083 5444 6805 8166 10888 12249 13610 16332 20415 24498 27220 32664 40830 48996 54440 61245 81660 97992 122490 163320 244980 408197 489960 816394 1224591 1632788 2040985 2449182 3265576 3673773 4081970 4898364 6122955 7347546 8163940 9796728 12245910 14695092 16327880 18368865 24491820 29390184 36737730 48983640 73475460 146950920 555556117 1111112234 1666668351 2222224468 2777780585 3333336702 4444448936 5000005053 5555561170 6666673404 8333341755 10000010106 11111122340 13333346808 16666683510 20000020212 22222244680 25000025265 33333367020 40000040424 50000050530 66666734040 100000101060 200000202120