Search a number
-
+
10131550 = 25211132109
BaseRepresentation
bin100110101001…
…100001011110
3201001201212121
4212221201132
510043202200
61001053154
7152055022
oct46514136
921051777
1010131550
11579aa90
1234871ba
132139700
1414ba382
15d51e1a
hex9a985e

10131550 has 72 divisors (see below), whose sum is σ = 22465080. Its totient is φ = 3369600.

The previous prime is 10131547. The next prime is 10131557. The reversal of 10131550 is 5513101.

10131550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92896 + ... + 93004.

It is an arithmetic number, because the mean of its divisors is an integer number (312015).

Almost surely, 210131550 is an apocalyptic number.

10131550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10131550 is an abundant number, since it is smaller than the sum of its proper divisors (12333530).

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

10131550 is a wasteful number, since it uses less digits than its factorization.

10131550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 10131550 is about 3183.0095821408. The cubic root of 10131550 is about 216.3840760318.

Adding to 10131550 its reverse (5513101), we get a palindrome (15644651).

It can be divided in two parts, 101 and 31550, that multiplied together give a triangular number (3186550 = T2524).

The spelling of 10131550 in words is "ten million, one hundred thirty-one thousand, five hundred fifty".

Divisors: 1 2 5 10 11 13 22 25 26 50 55 65 109 110 130 143 169 218 275 286 325 338 545 550 650 715 845 1090 1199 1417 1430 1690 1859 2398 2725 2834 3575 3718 4225 5450 5995 7085 7150 8450 9295 11990 14170 15587 18421 18590 29975 31174 35425 36842 46475 59950 70850 77935 92105 92950 155870 184210 202631 389675 405262 460525 779350 921050 1013155 2026310 5065775 10131550