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10072131 = 37147287
BaseRepresentation
bin100110011011…
…000001000011
3200221201100220
4212123001003
510034302011
6555514123
7151416546
oct46330103
920851326
1010072131
11575a383
123458943
132118654
1414a285d
15d3e506
hex99b043

10072131 has 8 divisors (see below), whose sum is σ = 13618944. Its totient is φ = 6620040.

The previous prime is 10072129. The next prime is 10072141. The reversal of 10072131 is 13127001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10072131 - 21 = 10072129 is a prime.

It is a super-2 number, since 2×100721312 = 202895645762322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10072131.

It is not an unprimeable number, because it can be changed into a prime (10072141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23431 + ... + 23856.

It is an arithmetic number, because the mean of its divisors is an integer number (1702368).

Almost surely, 210072131 is an apocalyptic number.

10072131 is a deficient number, since it is larger than the sum of its proper divisors (3546813).

10072131 is an equidigital number, since it uses as much as digits as its factorization.

10072131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47361.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10072131 is about 3173.6620803104. The cubic root of 10072131 is about 215.9602335915.

Adding to 10072131 its reverse (13127001), we get a palindrome (23199132).

The spelling of 10072131 in words is "ten million, seventy-two thousand, one hundred thirty-one".

Divisors: 1 3 71 213 47287 141861 3357377 10072131