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61131150 = 232521761131
BaseRepresentation
bin1110100100110…
…0100110001110
311021000210011200
43221030212032
5111122144100
610022130330
71341414633
oct351144616
9137023150
1061131150
1131563813
12185809a6
13c884aa2
14819418a
155577e00
hex3a4c98e

61131150 has 144 divisors (see below), whose sum is σ = 178100208. Its totient is φ = 14976000.

The previous prime is 61131143. The next prime is 61131157. The reversal of 61131150 is 5113116.

61131150 is a `hidden beast` number, since 611 + 3 + 1 + 1 + 50 = 666.

61131150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61131143) and next prime (61131157).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61131157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 466585 + ... + 466715.

It is an arithmetic number, because the mean of its divisors is an integer number (1236807).

Almost surely, 261131150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61131150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89050104).

61131150 is an abundant number, since it is smaller than the sum of its proper divisors (116969058).

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

61131150 is a wasteful number, since it uses less digits than its factorization.

61131150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 61131150 is about 7818.6411862932. The cubic root of 61131150 is about 393.9316320000.

Adding to 61131150 its reverse (5113116), we get a palindrome (66244266).

The spelling of 61131150 in words is "sixty-one million, one hundred thirty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 61 75 85 90 102 122 131 150 153 170 183 225 255 262 305 306 366 393 425 450 510 549 610 655 765 786 850 915 1037 1098 1179 1275 1310 1525 1530 1830 1965 2074 2227 2358 2550 2745 3050 3111 3275 3825 3930 4454 4575 5185 5490 5895 6222 6550 6681 7650 7991 9150 9333 9825 10370 11135 11790 13362 13725 15555 15982 18666 19650 20043 22270 23973 25925 27450 29475 31110 33405 39955 40086 46665 47946 51850 55675 58950 66810 71919 77775 79910 93330 100215 111350 119865 135847 143838 155550 167025 199775 200430 233325 239730 271694 334050 359595 399550 407541 466650 501075 599325 679235 719190 815082 1002150 1198650 1222623 1358470 1797975 2037705 2445246 3396175 3595950 4075410 6113115 6792350 10188525 12226230 20377050 30565575 61131150