Search a number
-
+
31201132121 = 171939509641
BaseRepresentation
bin11101000011101110…
…110111111001011001
32222112110102201212222
4131003232313321121
51002344442211441
622200020313425
72153123150525
oct350356677131
988473381788
1031201132121
1112261253405
126069242875
132c33194973
14171db90d85
15c292d9d4b
hex743bb7e59

31201132121 has 8 divisors (see below), whose sum is σ = 33207669864. Its totient is φ = 29213614080.

The previous prime is 31201132099. The next prime is 31201132129. The reversal of 31201132121 is 12123110213.

It can be written as a sum of positive squares in 4 ways, for example, as 11806096 + 31189326025 = 3436^2 + 176605^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 31201132121 - 218 = 31200869977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31201132121.

It is not an unprimeable number, because it can be changed into a prime (31201132129) 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, 4751540 + ... + 4758101.

It is an arithmetic number, because the mean of its divisors is an integer number (4150958733).

Almost surely, 231201132121 is an apocalyptic number.

It is an amenable number.

31201132121 is a deficient number, since it is larger than the sum of its proper divisors (2006537743).

31201132121 is a wasteful number, since it uses less digits than its factorization.

31201132121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9509851.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 31201132121 its reverse (12123110213), we get a palindrome (43324242334).

The spelling of 31201132121 in words is "thirty-one billion, two hundred one million, one hundred thirty-two thousand, one hundred twenty-one".

Divisors: 1 17 193 3281 9509641 161663897 1835360713 31201132121