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10131414 = 233747971
BaseRepresentation
bin100110101001…
…011111010110
3201001201200120
4212221133112
510043201124
61001052410
7152054436
oct46513726
921051616
1010131414
11579a977
123487106
132139627
1414ba2c6
15d51d79
hex9a97d6

10131414 has 32 divisors (see below), whose sum is σ = 21275136. Its totient is φ = 3212640.

The previous prime is 10131413. The next prime is 10131419. The reversal of 10131414 is 41413101.

It is a junction number, because it is equal to n+sod(n) for n = 10131393 and 10131402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131413) 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, 9949 + ... + 10919.

It is an arithmetic number, because the mean of its divisors is an integer number (664848).

Almost surely, 210131414 is an apocalyptic number.

10131414 is an abundant number, since it is smaller than the sum of its proper divisors (11143722).

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

10131414 is a wasteful number, since it uses less digits than its factorization.

10131414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10131414 is about 3182.9882186398. The cubic root of 10131414 is about 216.3831078230.

Adding to 10131414 its reverse (41413101), we get a palindrome (51544515).

The spelling of 10131414 in words is "ten million, one hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 37 47 74 94 111 141 222 282 971 1739 1942 2913 3478 5217 5826 10434 35927 45637 71854 91274 107781 136911 215562 273822 1688569 3377138 5065707 10131414