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131142550 = 252711231481
BaseRepresentation
bin1111101000100…
…01001110010110
3100010202201202111
413310101032112
5232033030200
621002501234
73151456540
oct764211626
9303681674
10131142550
1168032380
1237b0481a
1321228856
14135ba690
15b7a70ba
hex7d11396

131142550 has 96 divisors (see below), whose sum is σ = 317551104. Its totient is φ = 39072000.

The previous prime is 131142533. The next prime is 131142563. The reversal of 131142550 is 55241131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87810 + ... + 89290.

It is an arithmetic number, because the mean of its divisors is an integer number (3307824).

Almost surely, 2131142550 is an apocalyptic number.

131142550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131142550 is an abundant number, since it is smaller than the sum of its proper divisors (186408554).

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

131142550 is a wasteful number, since it uses less digits than its factorization.

131142550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 131142550 is about 11451.7487747505. The cubic root of 131142550 is about 508.0594589093.

Adding to 131142550 its reverse (55241131), we get a palindrome (186383681).

The spelling of 131142550 in words is "one hundred thirty-one million, one hundred forty-two thousand, five hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 23 25 35 46 50 55 70 77 110 115 154 161 175 230 253 275 322 350 385 506 550 575 770 805 1150 1265 1481 1610 1771 1925 2530 2962 3542 3850 4025 6325 7405 8050 8855 10367 12650 14810 16291 17710 20734 32582 34063 37025 44275 51835 68126 74050 81455 88550 103670 114037 162910 170315 228074 238441 259175 340630 374693 407275 476882 518350 570185 749386 814550 851575 1140370 1192205 1703150 1873465 2384410 2622851 2850925 3746930 5245702 5701850 5961025 9367325 11922050 13114255 18734650 26228510 65571275 131142550