Search a number
-
+
10311344302452 = 22319532314336871
BaseRepresentation
bin1001011000001100110000…
…0000111010100101110100
31100111202101022110112222120
42112003030000322211310
52322420113120134302
633532544405555540
72112653503300014
oct226031400724564
940452338415876
1010311344302452
113316020051696
1211a64a8415bb0
1359a48132151b
14279100b67c44
1512d34d5019bc
hex960cc03a974

10311344302452 has 96 divisors (see below), whose sum is σ = 25805774776320. Its totient is φ = 3194551301760.

The previous prime is 10311344302451. The next prime is 10311344302463. The reversal of 10311344302452 is 25420344311301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311344302451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279641577 + ... + 279678447.

It is an arithmetic number, because the mean of its divisors is an integer number (268810153920).

Almost surely, 210311344302452 is an apocalyptic number.

10311344302452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311344302452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12902887388160).

10311344302452 is an abundant number, since it is smaller than the sum of its proper divisors (15494430473868).

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

10311344302452 is a wasteful number, since it uses less digits than its factorization.

10311344302452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60093 (or 60091 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 10311344302452 its reverse (25420344311301), we get a palindrome (35731688613753).

The spelling of 10311344302452 in words is "ten trillion, three hundred eleven billion, three hundred forty-four million, three hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 19 38 53 57 76 106 114 159 212 228 318 636 1007 2014 3021 4028 6042 12084 23143 36871 46286 69429 73742 92572 110613 138858 147484 221226 277716 439717 442452 700549 879434 1226579 1319151 1401098 1758868 1954163 2101647 2453158 2638302 2802196 3679737 3908326 4203294 4906316 5276604 5862489 7359474 7816652 8406588 11724978 14718948 23305001 23449956 37129097 46610002 69915003 74258194 93220004 111387291 139830006 148516388 222774582 279660012 445549164 853305553 1706611106 2559916659 3413222212 5119833318 10239666636 16212805507 32425611014 45225194309 48638416521 64851222028 90450388618 97276833042 135675582927 180900777236 194553666084 271351165854 542702331708 859278691871 1718557383742 2577836075613 3437114767484 5155672151226 10311344302452