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1003241430204 = 2231329552740123
BaseRepresentation
bin11101001100101011101…
…10010101110010111100
310112220112121202010210120
432212111312111302330
5112414114301231304
62044514401334540
7132324154311606
oct16462566256274
93486477663716
101003241430204
113575216a6432
12142527637450
13737b39b1b90
14367b2b38176
151b16b0ea0d9
hexe995d95cbc

1003241430204 has 96 divisors (see below), whose sum is σ = 2608432350720. Its totient is φ = 297983847168.

The previous prime is 1003241430197. The next prime is 1003241430221. The reversal of 1003241430204 is 4020341423001.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24984087 + ... + 25024209.

It is an arithmetic number, because the mean of its divisors is an integer number (27171170320).

Almost surely, 21003241430204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003241430204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304216175360).

1003241430204 is an abundant number, since it is smaller than the sum of its proper divisors (1605190920516).

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

1003241430204 is a wasteful number, since it uses less digits than its factorization.

1003241430204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45699 (or 45697 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1003241430204 its reverse (4020341423001), we get a palindrome (5023582853205).

The spelling of 1003241430204 in words is "one trillion, three billion, two hundred forty-one million, four hundred thirty thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 4524 5527 11054 16581 22108 33162 40123 66324 71851 80246 120369 143702 160283 160492 215553 240738 287404 320566 431106 480849 481476 521599 641132 862212 961698 1043198 1163567 1564797 1923396 2083679 2086396 2327134 3129594 3490701 4167358 4654268 6251037 6259188 6981402 8334716 12502074 13962804 15126371 25004148 30252742 45379113 60505484 90758226 181516452 221759821 443519642 665279463 887039284 1330558926 2661117852 2882877673 5765755346 6431034809 8648633019 11531510692 12862069618 17297266038 19293104427 25724139236 34594532076 38586208854 77172417708 83603452517 167206905034 250810357551 334413810068 501620715102 1003241430204