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1002231450252 = 2232163617276817
BaseRepresentation
bin11101001010110011010…
…01100100101010001100
310112210221020021211202200
432211121221210222030
5112410032222402002
62044230242121500
7132260141523624
oct16453151445214
93483836254680
101002231450252
1135705358655a
121422a5350290
137368268c2c6
143671894d884
151b10c5e6b1c
hexe959a64a8c

1002231450252 has 72 divisors (see below), whose sum is σ = 2553101272176. Its totient is φ = 331488267264.

The previous prime is 1002231450251. The next prime is 1002231450257. The reversal of 1002231450252 is 2520541322001.

1002231450252 is a `hidden beast` number, since 100 + 2 + 2 + 3 + 1 + 4 + 502 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (1002231450251) 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 23 ways as a sum of consecutive naturals, for example, 3482148 + ... + 3758964.

Almost surely, 21002231450252 is an apocalyptic number.

1002231450252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1002231450252 is an abundant number, since it is smaller than the sum of its proper divisors (1550869821924).

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

1002231450252 is a wasteful number, since it uses less digits than its factorization.

1002231450252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277607 (or 277602 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1002231450252 its reverse (2520541322001), we get a palindrome (3522772772253).

The spelling of 1002231450252 in words is "one trillion, two billion, two hundred thirty-one million, four hundred fifty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 163 326 489 617 652 978 1234 1467 1851 1956 2468 2934 3702 5553 5868 7404 11106 22212 100571 201142 276817 301713 402284 553634 603426 830451 905139 1107268 1206852 1660902 1810278 2491353 3321804 3620556 4982706 9965412 45121171 90242342 135363513 170796089 180484684 270727026 341592178 406090539 512388267 541454052 683184356 812181078 1024776534 1537164801 1624362156 2049553068 3074329602 6148659204 27839762507 55679525014 83519287521 111359050028 167038575042 250557862563 334077150084 501115725126 1002231450252