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202142424300 = 223521913527791
BaseRepresentation
bin1011110001000010100…
…0001001110011101100
3201022202122122010010120
42330100220021303230
511302441430034200
6232510221404540
720414164153665
oct2742050116354
9638678563116
10202142424300
11788011462a3
1233215109750
13160a614216b
149ad885236c
1553d15bb9a0
hex2f10a09cec

202142424300 has 72 divisors (see below), whose sum is σ = 587927703552. Its totient is φ = 53622408000.

The previous prime is 202142424299. The next prime is 202142424301. The reversal of 202142424300 is 3424241202.

It is an interprime number because it is at equal distance from previous prime (202142424299) and next prime (202142424301).

It is not an unprimeable number, because it can be changed into a prime (202142424301) by changing a digit.

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, 1706596 + ... + 1821195.

Almost surely, 2202142424300 is an apocalyptic number.

202142424300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202142424300 is an abundant number, since it is smaller than the sum of its proper divisors (385785279252).

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

202142424300 is a wasteful number, since it uses less digits than its factorization.

202142424300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527999 (or 3527992 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 202142424300 its reverse (3424241202), we get a palindrome (205566665502).

The spelling of 202142424300 in words is "two hundred two billion, one hundred forty-two million, four hundred twenty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 191 300 382 573 764 955 1146 1910 2292 2865 3820 4775 5730 9550 11460 14325 19100 28650 57300 3527791 7055582 10583373 14111164 17638955 21166746 35277910 42333492 52916865 70555820 88194775 105833730 176389550 211667460 264584325 352779100 529168650 673808081 1058337300 1347616162 2021424243 2695232324 3369040405 4042848486 6738080810 8085696972 10107121215 13476161620 16845202025 20214242430 33690404050 40428484860 50535606075 67380808100 101071212150 202142424300