Search a number
-
+
1002142252524 = 2237411661917509
BaseRepresentation
bin11101001010101000101…
…01010011110111101100
310112210201000110010111010
432211110111103313230
5112404341404040044
62044213334225220
7132255006412140
oct16452425236754
93483630403433
101002142252524
113570081a2a26
1214227b4b5210
137366a05b59a
143670ab71220
151b104877bb9
hexe954553dec

1002142252524 has 96 divisors (see below), whose sum is σ = 2737880409600. Its totient is φ = 279310026240.

The previous prime is 1002142252499. The next prime is 1002142252543. The reversal of 1002142252524 is 4252522412001.

It is a junction number, because it is equal to n+sod(n) for n = 1002142252491 and 1002142252500.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57227082 + ... + 57244590.

It is an arithmetic number, because the mean of its divisors is an integer number (28519587600).

Almost surely, 21002142252524 is an apocalyptic number.

1002142252524 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1002142252524 is an abundant number, since it is smaller than the sum of its proper divisors (1735738157076).

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

1002142252524 is a wasteful number, since it uses less digits than its factorization.

1002142252524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34183 (or 34181 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 1002142252524 its reverse (4252522412001), we get a palindrome (5254664664525).

The spelling of 1002142252524 in words is "one trillion, two billion, one hundred forty-two million, two hundred fifty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 16619 17509 33238 35018 49857 52527 66476 70036 99714 105054 116333 122563 199428 210108 232666 245126 348999 367689 465332 490252 681379 697998 717869 735378 1362758 1395996 1435738 1470756 2044137 2153607 2725516 2871476 4088274 4307214 4769653 5025083 8176548 8614428 9539306 10050166 14308959 15075249 19078612 20100332 28617918 30150498 57235836 60300996 290982071 581964142 872946213 1163928284 1745892426 2036874497 3491784852 4073748994 6110623491 8147497988 11930264911 12221246982 23860529822 24442493964 35790794733 47721059644 71581589466 83511854377 143163178932 167023708754 250535563131 334047417508 501071126262 1002142252524