Search a number
-
+
10024400132 = 22172326923827
BaseRepresentation
bin10010101011000000…
…00011010100000100
3221212121200021210222
421111200003110010
5131012221301012
64334413403512
7503261665235
oct112540032404
927777607728
1010024400132
11428457020a
121b39199598
13c39a81616
146b14b508c
153da0cc972
hex255803504

10024400132 has 48 divisors (see below), whose sum is σ = 19455085440. Its totient is φ = 4495299072.

The previous prime is 10024400129. The next prime is 10024400143. The reversal of 10024400132 is 23100442001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 10024400132.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 408803 + ... + 432629.

It is an arithmetic number, because the mean of its divisors is an integer number (405314280).

Almost surely, 210024400132 is an apocalyptic number.

It is an amenable number.

10024400132 is a deficient number, since it is larger than the sum of its proper divisors (9430685308).

10024400132 is a wasteful number, since it uses less digits than its factorization.

10024400132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24140 (or 24138 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10024400132 its reverse (23100442001), we get a palindrome (33124842133).

The spelling of 10024400132 in words is "ten billion, twenty-four million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 4 17 23 34 46 68 92 269 391 538 782 1076 1564 4573 6187 9146 12374 18292 23827 24748 47654 95308 105179 210358 405059 420716 548021 810118 1096042 1620236 2192084 6409463 9316357 12818926 18632714 25637852 37265428 108960871 147417649 217921742 294835298 435843484 589670596 2506100033 5012200066 10024400132