Search a number
-
+
121642131 = 3138593631
BaseRepresentation
bin1110100000000…
…01110010010011
322110220001122010
413100001302103
5222120022011
620023114003
73004640532
oct720016223
9273801563
10121642131
1162733596
12348a2903
131c2804c0
1412226319
15aa2c1a6
hex7401c93

121642131 has 16 divisors (see below), whose sum is σ = 174917120. Its totient is φ = 74748960.

The previous prime is 121642111. The next prime is 121642139. The reversal of 121642131 is 131246121.

It is not a de Polignac number, because 121642131 - 215 = 121609363 is a prime.

It is a super-2 number, since 2×1216421312 = 29593616068442322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121642098 and 121642107.

It is not an unprimeable number, because it can be changed into a prime (121642139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31686 + ... + 35316.

It is an arithmetic number, because the mean of its divisors is an integer number (10932320).

Almost surely, 2121642131 is an apocalyptic number.

121642131 is a deficient number, since it is larger than the sum of its proper divisors (53274989).

121642131 is a wasteful number, since it uses less digits than its factorization.

121642131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506.

The product of its digits is 288, while the sum is 21.

The square root of 121642131 is about 11029.1491512265. The cubic root of 121642131 is about 495.4821422075.

Adding to 121642131 its reverse (131246121), we get a palindrome (252888252).

The spelling of 121642131 in words is "one hundred twenty-one million, six hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 13 39 859 2577 3631 10893 11167 33501 47203 141609 3119029 9357087 40547377 121642131