Search a number
-
+
1010214140 = 225133979787
BaseRepresentation
bin111100001101101…
…010010011111100
32121101220012021112
4330031222103330
54032103323030
6244124221152
734014451505
oct7415522374
92541805245
101010214140
1147926a921
1224239a7b8
131313a5360
1498249bac
155da4ca95
hex3c36a4fc

1010214140 has 48 divisors (see below), whose sum is σ = 2290626912. Its totient is φ = 372024576.

The previous prime is 1010214133. The next prime is 1010214187. The reversal of 1010214140 is 414120101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98327 + ... + 108113.

It is an arithmetic number, because the mean of its divisors is an integer number (47721394).

Almost surely, 21010214140 is an apocalyptic number.

1010214140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145313456).

1010214140 is an abundant number, since it is smaller than the sum of its proper divisors (1280412772).

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

1010214140 is a wasteful number, since it uses less digits than its factorization.

1010214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10206 (or 10204 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1010214140 is about 31783.8660329419. The cubic root of 1010214140 is about 1003.3931865953.

Adding to 1010214140 its reverse (414120101), we get a palindrome (1424334241).

It can be divided in two parts, 10102 and 14140, that added together give a palindrome (24242).

The spelling of 1010214140 in words is "one billion, ten million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 397 794 1588 1985 3970 5161 7940 9787 10322 19574 20644 25805 39148 48935 51610 97870 103220 127231 195740 254462 508924 636155 1272310 2544620 3885439 7770878 15541756 19427195 38854390 50510707 77708780 101021414 202042828 252553535 505107070 1010214140