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131314645 = 57112101307
BaseRepresentation
bin1111101001110…
…11001111010101
3100011002110211101
413310323033111
5232104032040
621010310101
73153104350
oct764731725
9304073741
10131314645
116813a700
1237b88331
1321288c97
1413623297
15b7dd09a
hex7d3b3d5

131314645 has 48 divisors (see below), whose sum is σ = 200559744. Its totient is φ = 80784000.

The previous prime is 131314621. The next prime is 131314657. The reversal of 131314645 is 546413131.

It is not a de Polignac number, because 131314645 - 29 = 131314133 is a prime.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 427582 + ... + 427888.

It is an arithmetic number, because the mean of its divisors is an integer number (4178328).

Almost surely, 2131314645 is an apocalyptic number.

It is an amenable number.

131314645 is a deficient number, since it is larger than the sum of its proper divisors (69245099).

131314645 is a wasteful number, since it uses less digits than its factorization.

131314645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 431 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 131314645 is about 11459.2602291771. The cubic root of 131314645 is about 508.2815995606.

Adding to 131314645 its reverse (546413131), we get a palindrome (677727776).

The spelling of 131314645 in words is "one hundred thirty-one million, three hundred fourteen thousand, six hundred forty-five".

Divisors: 1 5 7 11 35 55 77 101 121 307 385 505 605 707 847 1111 1535 2149 3377 3535 4235 5555 7777 10745 12221 16885 23639 31007 37147 38885 61105 85547 118195 155035 185735 217049 260029 341077 427735 1085245 1300145 1705385 2387539 3751847 11937695 18759235 26262929 131314645