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131410501224 = 23343211603487
BaseRepresentation
bin111101001100010101…
…1010001111001101000
3110120012020001010112220
41322120223101321220
54123112042014344
6140211423034040
712331321554552
oct1723053217150
9416166033486
10131410501224
1150804890622
122157513b920
13c51318c042
1465089524d2
153641acec19
hex1e98ad1e68

131410501224 has 64 divisors (see below), whose sum is σ = 337760163840. Its totient is φ = 42581972160.

The previous prime is 131410501223. The next prime is 131410501273. The reversal of 131410501224 is 422105014131.

It is a super-3 number, since 3×1314105012243 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131410501194 and 131410501203.

It is not an unprimeable number, because it can be changed into a prime (131410501223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83992 + ... + 519495.

It is an arithmetic number, because the mean of its divisors is an integer number (5277502560).

Almost surely, 2131410501224 is an apocalyptic number.

It is an amenable number.

131410501224 is an abundant number, since it is smaller than the sum of its proper divisors (206349662616).

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

131410501224 is a wasteful number, since it uses less digits than its factorization.

131410501224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603750 (or 603746 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 131410501224 its reverse (422105014131), we get a palindrome (553515515355).

The spelling of 131410501224 in words is "one hundred thirty-one billion, four hundred ten million, five hundred one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 211 258 344 422 516 633 844 1032 1266 1688 2532 5064 9073 18146 27219 36292 54438 72584 108876 217752 603487 1206974 1810461 2413948 3620922 4827896 7241844 14483688 25949941 51899882 77849823 103799764 127335757 155699646 207599528 254671514 311399292 382007271 509343028 622798584 764014542 1018686056 1528029084 3056058168 5475437551 10950875102 16426312653 21901750204 32852625306 43803500408 65705250612 131410501224