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103131212514 = 231110138214049
BaseRepresentation
bin110000000001100011…
…0010110101011100010
3100212012101120102022120
41200003012112223202
53142203042300024
6115213335445110
710310454561651
oct1400306265342
9325171512276
10103131212514
113a812976440
1217ba2526796
139957445605
144dc4c61198
152a3909b479
hex1803196ae2

103131212514 has 64 divisors (see below), whose sum is σ = 227357020800. Its totient is φ = 30926720000.

The previous prime is 103131212497. The next prime is 103131212531. The reversal of 103131212514 is 415212131301.

103131212514 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103131212497) and next prime (103131212531).

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, 25468762 + ... + 25472810.

It is an arithmetic number, because the mean of its divisors is an integer number (3552453450).

Almost surely, 2103131212514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103131212514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113678510400).

103131212514 is an abundant number, since it is smaller than the sum of its proper divisors (124225808286).

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

103131212514 is a wasteful number, since it uses less digits than its factorization.

103131212514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7987.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 103131212514 its reverse (415212131301), we get a palindrome (518343343815).

The spelling of 103131212514 in words is "one hundred three billion, one hundred thirty-one million, two hundred twelve thousand, five hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 606 1111 2222 3333 3821 4049 6666 7642 8098 11463 12147 22926 24294 42031 44539 84062 89078 126093 133617 252186 267234 385921 408949 771842 817898 1157763 1226847 2315526 2453694 4245131 4498439 8490262 8996878 12735393 13495317 15471229 25470786 26990634 30942458 46413687 92827374 170183519 340367038 510550557 1021101114 1562594129 3125188258 4687782387 9375564774 17188535419 34377070838 51565606257 103131212514