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202130022144 = 283943327901
BaseRepresentation
bin1011110000111111100…
…0110101111100000000
3201022201210022000120110
42330033320311330000
511302430241202034
6232505055511320
720413653561051
oct2741770657400
9638653260513
10202130022144
11787a5145386
1233210b28540
13160a36bc0cb
149ad6d44728
1553d046bde9
hex2f0fe35f00

202130022144 has 72 divisors (see below), whose sum is σ = 538036944592. Its totient is φ = 67367116800.

The previous prime is 202130022139. The next prime is 202130022173. The reversal of 202130022144 is 441220031202.

It is a super-3 number, since 3×2021300221443 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 202130022144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7230594 + ... + 7258494.

Almost surely, 2202130022144 is an apocalyptic number.

202130022144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202130022144 is an abundant number, since it is smaller than the sum of its proper divisors (335906922448).

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

202130022144 is an equidigital number, since it uses as much as digits as its factorization.

202130022144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37353 (or 37339 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 202130022144 its reverse (441220031202), we get a palindrome (643350053346).

The spelling of 202130022144 in words is "two hundred two billion, one hundred thirty million, twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 9433 18866 27901 28299 37732 55802 56598 75464 83703 111604 113196 150928 167406 223208 226392 301856 334812 446416 452784 603712 669624 892832 905568 1207424 1339248 1785664 1811136 2414848 2678496 3571328 3622272 5356992 7142656 7244544 10713984 21427968 263190133 526380266 789570399 1052760532 1579140798 2105521064 3158281596 4211042128 6316563192 8422084256 12633126384 16844168512 25266252768 33688337024 50532505536 67376674048 101065011072 202130022144