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13150316161000 = 235334949975511
BaseRepresentation
bin1011111101011100101111…
…1011000110011111101000
31201120011021010212200111201
42333113023323012133220
53210423321414123000
643545101041333544
72525036044032004
oct277271373063750
951504233780451
1013150316161000
114210021710327
1215847523372b4
137450b98a3595
1433669b795704
1517c10adb896a
hexbf5cbec67e8

13150316161000 has 128 divisors (see below), whose sum is σ = 30922164000000. Its totient is φ = 5234474016000.

The previous prime is 13150316160991. The next prime is 13150316161019. The reversal of 13150316161000 is 16161305131.

It is a self number, because there is not a number n which added to its sum of digits gives 13150316161000.

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, 174113245 + ... + 174188755.

It is an arithmetic number, because the mean of its divisors is an integer number (241579406250).

Almost surely, 213150316161000 is an apocalyptic number.

13150316161000 is a gapful number since it is divisible by the number (10) 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 13150316161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15461082000000).

13150316161000 is an abundant number, since it is smaller than the sum of its proper divisors (17771847839000).

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

13150316161000 is a wasteful number, since it uses less digits than its factorization.

13150316161000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76380 (or 76366 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

Adding to 13150316161000 its reverse (16161305131), we get a palindrome (13166477466131).

The spelling of 13150316161000 in words is "thirteen trillion, one hundred fifty billion, three hundred sixteen million, one hundred sixty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 349 499 500 698 998 1000 1396 1745 1996 2495 2792 3490 3992 4990 6980 8725 9980 12475 13960 17450 19960 24950 34900 43625 49900 62375 69800 75511 87250 99800 124750 151022 174151 174500 249500 302044 348302 349000 377555 499000 604088 696604 755110 870755 1393208 1510220 1741510 1887775 3020440 3483020 3775550 4353775 6966040 7551100 8707550 9438875 15102200 17415100 18877750 21768875 26353339 34830200 37679989 37755500 43537750 52706678 75359978 75511000 87075500 105413356 131766695 150719956 174151000 188399945 210826712 263533390 301439912 376799890 527066780 658833475 753599780 941999725 1054133560 1317666950 1507199560 1883999450 2635333900 3294167375 3767998900 4709998625 5270667800 6588334750 7535997800 9419997250 13150316161 13176669500 18839994500 26300632322 26353339000 37679989000 52601264644 65751580805 105202529288 131503161610 263006323220 328757904025 526012646440 657515808050 1315031616100 1643789520125 2630063232200 3287579040250 6575158080500 13150316161000