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13142304331050 = 2352194751970603
BaseRepresentation
bin1011111100111110111001…
…1000011001010100101010
31201112101120210012112222010
42333033232120121110222
53210310414402043200
643541254040140350
72524333360431126
oct277175630312452
951471523175863
1013142304331050
1142076901a2964
1215830971676b6
13744410a7a9bb
1433613b6cc586
1517bcdc833150
hexbf3ee61952a

13142304331050 has 96 divisors (see below), whose sum is σ = 34315587947520. Its totient is φ = 3319458840000.

The previous prime is 13142304331019. The next prime is 13142304331127. The reversal of 13142304331050 is 5013340324131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13142304330999 and 13142304331017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13055049 + ... + 14025651.

It is an arithmetic number, because the mean of its divisors is an integer number (357454041120).

Almost surely, 213142304331050 is an apocalyptic number.

13142304331050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142304331050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17157793973760).

13142304331050 is an abundant number, since it is smaller than the sum of its proper divisors (21173283616470).

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

13142304331050 is a wasteful number, since it uses less digits than its factorization.

13142304331050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975388 (or 975383 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13142304331050 its reverse (5013340324131), we get a palindrome (18155644655181).

The spelling of 13142304331050 in words is "thirteen trillion, one hundred forty-two billion, three hundred four million, three hundred thirty-one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 950 1425 2850 4751 9502 14253 23755 28506 47510 71265 90269 118775 142530 180538 237550 270807 356325 451345 541614 712650 902690 970603 1354035 1941206 2256725 2708070 2911809 4513450 4853015 5823618 6770175 9706030 13540350 14559045 18441457 24265075 29118090 36882914 48530150 55324371 72795225 92207285 110648742 145590450 184414570 276621855 461036425 553243710 922072850 1383109275 2766218550 4611334853 9222669706 13834004559 23056674265 27668009118 46113348530 69170022795 87615362207 115283371325 138340045590 175230724414 230566742650 262846086621 345850113975 438076811035 525692173242 691700227950 876153622070 1314230433105 2190384055175 2628460866210 4380768110350 6571152165525 13142304331050