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514132501100 = 225217417376363
BaseRepresentation
bin1110111101101001010…
…11110110001001101100
31211011001210000011011012
413132310223312021230
531410420410013400
61032104511444352
752100453103431
oct7366453661154
91734053004135
10514132501100
11189051436779
1283785b266b8
133963703c96a
141ac5414bb88
15d5916dad35
hex77b4af626c

514132501100 has 72 divisors (see below), whose sum is σ = 1210107266928. Its totient is φ = 188834867200.

The previous prime is 514132501081. The next prime is 514132501109. The reversal of 514132501100 is 1105231415.

It is not an unprimeable number, because it can be changed into a prime (514132501109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3618482 + ... + 3757881.

It is an arithmetic number, because the mean of its divisors is an integer number (16807045374).

Almost surely, 2514132501100 is an apocalyptic number.

514132501100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

514132501100 is an abundant number, since it is smaller than the sum of its proper divisors (695974765828).

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

514132501100 is a wasteful number, since it uses less digits than its factorization.

514132501100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7376435 (or 7376428 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 23.

Adding to 514132501100 its reverse (1105231415), we get a palindrome (515237732515).

The spelling of 514132501100 in words is "five hundred fourteen billion, one hundred thirty-two million, five hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 41 50 68 82 85 100 164 170 205 340 410 425 697 820 850 1025 1394 1700 2050 2788 3485 4100 6970 13940 17425 34850 69700 7376363 14752726 29505452 36881815 73763630 125398171 147527260 184409075 250796342 302430883 368818150 501592684 604861766 626990855 737636300 1209723532 1253981710 1512154415 2507963420 3024308830 3134954275 5141325011 6048617660 6269908550 7560772075 10282650022 12539817100 15121544150 20565300044 25706625055 30243088300 51413250110 102826500220 128533125275 257066250550 514132501100