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31310320111224 = 23371148713478303
BaseRepresentation
bin1110001111010000000001…
…00000100000111001111000
311002212020102001011011212220
413013220000200200321320
513100442013422024344
6150331432410404040
76411044630513460
oct707500040407170
9132766361134786
1031310320111224
119a816a5498590
123618196a30620
13146172064387b
147a35db3c4ba0
153946bec3ec19
hex1c7a00820e78

31310320111224 has 128 divisors (see below), whose sum is σ = 97610671226880. Its totient is φ = 8130878755200.

The previous prime is 31310320111211. The next prime is 31310320111241. The reversal of 31310320111224 is 42211102301313.

It is a super-2 number, since 2×313103201112242 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31310320111194 and 31310320111203.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7262457 + ... + 10740759.

It is an arithmetic number, because the mean of its divisors is an integer number (762583368960).

Almost surely, 231310320111224 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 31310320111224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48805335613440).

31310320111224 is an abundant number, since it is smaller than the sum of its proper divisors (66300351115656).

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

31310320111224 is a wasteful number, since it uses less digits than its factorization.

31310320111224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3483201 (or 3483197 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 31310320111224 its reverse (42211102301313), we get a palindrome (73521422412537).

The spelling of 31310320111224 in words is "thirty-one trillion, three hundred ten billion, three hundred twenty million, one hundred eleven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 4871 9742 14613 19484 29226 34097 38968 53581 58452 68194 102291 107162 116904 136388 160743 204582 214324 272776 321486 375067 409164 428648 642972 750134 818328 1125201 1285944 1500268 2250402 3000536 3478303 4500804 6956606 9001608 10434909 13913212 20869818 24348121 27826424 38261333 41739636 48696242 73044363 76522666 83479272 97392484 114783999 146088726 153045332 194784968 229567998 267829331 292177452 306090664 459135996 535658662 584354904 803487993 918271992 1071317324 1606975986 2142634648 3213951972 6427903944 16942813913 33885627826 50828441739 67771255652 101656883478 118599697391 135542511304 186370953043 203313766956 237199394782 355799092173 372741906086 406627533912 474398789564 559112859129 711598184346 745483812172 948797579128 1118225718258 1304596671301 1423196368692 1490967624344 2236451436516 2609193342602 2846392737384 3913790013903 4472902873032 5218386685204 7827580027806 10436773370408 15655160055612 31310320111224