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315110442101 = 72132311227491
BaseRepresentation
bin1001001010111100000…
…10111100010001110101
31010010100120220000111212
410211132002330101311
520130321233121401
6400432034211205
731523505364400
oct4453602742165
91103316800455
10315110442101
111117016a2084
12510a1a23b05
132393a506300
1411373cb4d37
1582e403bdbb
hex495e0bc475

315110442101 has 36 divisors (see below), whose sum is σ = 409727009664. Its totient is φ = 241275434400.

The previous prime is 315110442091. The next prime is 315110442139. The reversal of 315110442101 is 101244011513.

It is not a de Polignac number, because 315110442101 - 210 = 315110441077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315110442191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 357035 + ... + 870456.

It is an arithmetic number, because the mean of its divisors is an integer number (11381305824).

Almost surely, 2315110442101 is an apocalyptic number.

315110442101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

315110442101 is a deficient number, since it is larger than the sum of its proper divisors (94616567563).

315110442101 is a wasteful number, since it uses less digits than its factorization.

315110442101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227562 (or 1227542 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 315110442101 its reverse (101244011513), we get a palindrome (416354453614).

The spelling of 315110442101 in words is "three hundred fifteen billion, one hundred ten million, four hundred forty-two thousand, one hundred one".

Divisors: 1 7 13 31 49 91 169 217 403 637 1183 1519 2821 5239 8281 19747 36673 256711 1227491 8592437 15957383 38052221 60147059 111701681 207445979 266365547 494678873 781911767 1452121853 1864558829 3462752111 6430825349 10164852971 24239264777 45015777443 315110442101