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131052500 = 2254193189
BaseRepresentation
bin1111100111110…
…11001111010100
3100010121011020022
413303323033110
5232022140000
621000524312
73150633155
oct763731724
9303534208
10131052500
1167a80757
1237a80698
13211c6877
141359592c
15b78a585
hex7cfb3d4

131052500 has 120 divisors (see below), whose sum is σ = 314899200. Its totient is φ = 47520000.

The previous prime is 131052487. The next prime is 131052521. The reversal of 131052500 is 5250131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1472456 + ... + 1472544.

It is an arithmetic number, because the mean of its divisors is an integer number (2624160).

Almost surely, 2131052500 is an apocalyptic number.

131052500 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 131052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157449600).

131052500 is an abundant number, since it is smaller than the sum of its proper divisors (183846700).

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

131052500 is a wasteful number, since it uses less digits than its factorization.

131052500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 131052500 is about 11447.8163856694. The cubic root of 131052500 is about 507.9431446900.

The spelling of 131052500 in words is "one hundred thirty-one million, fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 89 95 100 124 125 155 178 190 250 310 356 380 445 475 500 589 620 625 775 890 950 1178 1250 1550 1691 1780 1900 2225 2356 2375 2500 2759 2945 3100 3382 3875 4450 4750 5518 5890 6764 7750 8455 8900 9500 11036 11125 11780 11875 13795 14725 15500 16910 19375 22250 23750 27590 29450 33820 38750 42275 44500 47500 52421 55180 55625 58900 68975 73625 77500 84550 104842 111250 137950 147250 169100 209684 211375 222500 262105 275900 294500 344875 368125 422750 524210 689750 736250 845500 1048420 1056875 1310525 1379500 1472500 1724375 2113750 2621050 3448750 4227500 5242100 6552625 6897500 13105250 26210500 32763125 65526250 131052500