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314231101132413 = 31014157249474703
BaseRepresentation
bin100011101110010101010000…
…1001010010000111001111101
31112012121012101201102110012010
41013130222201022100321331
5312141330243342214123
63032151435222401433
7123121306422304113
oct10734524112207175
91465535351373163
10314231101132413
119113a730668423
122b2b0113b90279
1310644b33bc925a
145784c1b745ab3
15264dd13316993
hex11dcaa1290e7d

314231101132413 has 16 divisors (see below), whose sum is σ = 423224854246656. Its totient is φ = 207363372302400.

The previous prime is 314231101132307. The next prime is 314231101132453.

It is a happy number.

314231101132413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314231101132413 - 29 = 314231101131901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314231101132453) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123477781 + ... + 125996922.

It is an arithmetic number, because the mean of its divisors is an integer number (26451553390416).

Almost surely, 2314231101132413 is an apocalyptic number.

It is an amenable number.

314231101132413 is a deficient number, since it is larger than the sum of its proper divisors (108993753114243).

314231101132413 is a wasteful number, since it uses less digits than its factorization.

314231101132413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249478964.

The product of its (nonzero) digits is 5184, while the sum is 30.

It can be divided in two parts, 31423110 and 1132413, that added together give a palindrome (32555523).

The spelling of 314231101132413 in words is "three hundred fourteen trillion, two hundred thirty-one billion, one hundred one million, one hundred thirty-two thousand, four hundred thirteen".

Divisors: 1 3 101 303 4157 12471 419857 1259571 249474703 748424109 25196945003 75590835009 1037066340371 3111199021113 104743700377471 314231101132413