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131005223250 = 23531119835759
BaseRepresentation
bin111101000000010000…
…1010001000101010010
3110112010222102212200120
41322000201101011102
54121244314121000
6140103304331110
712315301011246
oct1720041210522
9415128385616
10131005223250
1150617040250
1221481473a96
13c47a2202a5
1464aabb6426
15361b2276a0
hex1e80851152

131005223250 has 128 divisors (see below), whose sum is σ = 375490252800. Its totient is φ = 30087288000.

The previous prime is 131005223243. The next prime is 131005223281. The reversal of 131005223250 is 52322500131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131005223250.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 261130 + ... + 574629.

It is an arithmetic number, because the mean of its divisors is an integer number (2933517600).

Almost surely, 2131005223250 is an apocalyptic number.

131005223250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131005223250 is an abundant number, since it is smaller than the sum of its proper divisors (244485029550).

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

131005223250 is a wasteful number, since it uses less digits than its factorization.

131005223250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835809 (or 835799 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 131005223250 its reverse (52322500131), we get a palindrome (183327723381).

The spelling of 131005223250 in words is "one hundred thirty-one billion, five million, two hundred twenty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 19 22 25 30 33 38 50 55 57 66 75 95 110 114 125 150 165 190 209 250 275 285 330 375 418 475 550 570 627 750 825 950 1045 1254 1375 1425 1650 2090 2375 2750 2850 3135 4125 4750 5225 6270 7125 8250 10450 14250 15675 26125 31350 52250 78375 156750 835759 1671518 2507277 4178795 5014554 8357590 9193349 12536385 15879421 18386698 20893975 25072770 27580047 31758842 41787950 45966745 47638263 55160094 62681925 79397105 91933490 95276526 104469875 125363850 137900235 158794210 174673631 208939750 229833725 238191315 275800470 313409625 349347262 396985525 459667450 476382630 524020893 626819250 689501175 793971050 873368155 1048041786 1149168625 1190956575 1379002350 1746736310 1984927625 2298337250 2381913150 2620104465 3447505875 3969855250 4366840775 5240208930 5954782875 6895011750 8733681550 11909565750 13100522325 21834203875 26201044650 43668407750 65502611625 131005223250