Search a number
-
+
10241135231304 = 2331733659937313
BaseRepresentation
bin1001010100000111001100…
…1110100100000101001000
31100021001011022201012102010
42111001303032210011020
52320242321104400204
633440413525535520
72104616610112335
oct225016316440510
940231138635363
1010241135231304
11329927194134a
1211949735745a0
13593972794a43
1427596048b98c
1512b5de893d89
hex950733a4148

10241135231304 has 64 divisors (see below), whose sum is σ = 25622180496000. Its totient is φ = 3411133485056.

The previous prime is 10241135231291. The next prime is 10241135231317. The reversal of 10241135231304 is 40313253114201.

It is an interprime number because it is at equal distance from previous prime (10241135231291) and next prime (10241135231317).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274446952 + ... + 274484264.

It is an arithmetic number, because the mean of its divisors is an integer number (400346570250).

Almost surely, 210241135231304 is an apocalyptic number.

It is an amenable number.

10241135231304 is an abundant number, since it is smaller than the sum of its proper divisors (15381045264696).

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

10241135231304 is a wasteful number, since it uses less digits than its factorization.

10241135231304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45654 (or 45650 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10241135231304 its reverse (40313253114201), we get a palindrome (50554388345505).

The spelling of 10241135231304 in words is "ten trillion, two hundred forty-one billion, one hundred thirty-five million, two hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 1733 3466 5199 6599 6932 10398 13198 13864 19797 20796 26396 37313 39594 41592 52792 74626 79188 111939 149252 158376 223878 298504 447756 895512 11436067 22872134 34308201 45744268 64663429 68616402 91488536 129326858 137232804 193990287 246228487 258653716 274465608 387980574 492456974 517307432 738685461 775961148 984913948 1477370922 1551922296 1969827896 2954741844 5909483688 426713967971 853427935942 1280141903913 1706855871884 2560283807826 3413711743768 5120567615652 10241135231304