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1005253244130 = 235291155463499
BaseRepresentation
bin11101010000011011100…
…00110011010011100010
310120002201211022212200110
432220031300303103202
5112432224312303010
62045450145432150
7132425053406412
oct16501560632342
93502654285613
101005253244130
11358364281a73
121429a933b656
1373a44734615
1436923dca642
151b237a43120
hexea0dc334e2

1005253244130 has 32 divisors (see below), whose sum is σ = 2495801160000. Its totient is φ = 258823823552.

The previous prime is 1005253244113. The next prime is 1005253244131. The reversal of 1005253244130 is 314423525001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1005253244131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 577730880 + ... + 577732619.

It is an arithmetic number, because the mean of its divisors is an integer number (77993786250).

Almost surely, 21005253244130 is an apocalyptic number.

1005253244130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1005253244130 is an abundant number, since it is smaller than the sum of its proper divisors (1490547915870).

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

1005253244130 is a wasteful number, since it uses less digits than its factorization.

1005253244130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155463538.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 1005253244130 its reverse (314423525001), we get a palindrome (1319676769131).

The spelling of 1005253244130 in words is "one trillion, five billion, two hundred fifty-three million, two hundred forty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 870 1155463499 2310926998 3466390497 5777317495 6932780994 11554634990 17331952485 33508441471 34663904970 67016882942 100525324413 167542207355 201050648826 335084414710 502626622065 1005253244130