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10314240324 = 22337531632689
BaseRepresentation
bin10011001101100011…
…01101000101000100
3222121211001200210220
421212301231011010
5132110421142244
64423245544340
7513411411333
oct114661550504
928554050726
1010314240324
114413135463
121bba2750b0
13c84b32bab
146dbba1d1a
15405781319
hex266c6d144

10314240324 has 96 divisors (see below), whose sum is σ = 25347288960. Its totient is φ = 3260694528.

The previous prime is 10314240281. The next prime is 10314240331. The reversal of 10314240324 is 42304241301.

It is a super-2 number, since 2×103142403242 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10314240294 and 10314240303.

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, 3834372 + ... + 3837060.

It is an arithmetic number, because the mean of its divisors is an integer number (264034260).

Almost surely, 210314240324 is an apocalyptic number.

It is an amenable number.

10314240324 is an abundant number, since it is smaller than the sum of its proper divisors (15033048636).

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

10314240324 is a wasteful number, since it uses less digits than its factorization.

10314240324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2947 counting only the distinct ones).

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

Adding to 10314240324 its reverse (42304241301), we get a palindrome (52618481625).

The spelling of 10314240324 in words is "ten billion, three hundred fourteen million, two hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 37 53 74 106 111 148 159 163 212 222 318 326 444 489 636 652 978 1956 1961 2689 3922 5378 5883 6031 7844 8067 8639 10756 11766 12062 16134 17278 18093 23532 24124 25917 32268 34556 36186 51834 72372 99493 103668 142517 198986 285034 298479 319643 397972 427551 438307 570068 596958 639286 855102 876614 958929 1193916 1278572 1314921 1710204 1753228 1917858 2629842 3835716 5259684 5273129 10546258 15819387 16217359 21092516 23230271 31638774 32434718 46460542 48652077 63277548 64869436 69690813 92921084 97304154 139381626 194608308 278763252 859520027 1719040054 2578560081 3438080108 5157120162 10314240324