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20131333224 = 23317731733907
BaseRepresentation
bin10010101111111010…
…111100010001101000
31220221222122200120020
4102233322330101220
5312212110130344
613125340200440
71311605336412
oct225772742150
956858580506
1020131333224
1185a0681682
123a99b39120
131b8a96c1c2
14d8d9119b2
157cc55e719
hex4afebc468

20131333224 has 128 divisors (see below), whose sum is σ = 54344960640. Its totient is φ = 6191603712.

The previous prime is 20131333217. The next prime is 20131333267. The reversal of 20131333224 is 42233313102.

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 = 20131333194 and 20131333203.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5150679 + ... + 5154585.

It is an arithmetic number, because the mean of its divisors is an integer number (424570005).

Almost surely, 220131333224 is an apocalyptic number.

20131333224 is a gapful number since it is divisible by the number (24) 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 20131333224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172480320).

20131333224 is an abundant number, since it is smaller than the sum of its proper divisors (34213627416).

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

20131333224 is a wasteful number, since it uses less digits than its factorization.

20131333224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20131333224 its reverse (42233313102), we get a palindrome (62364646326).

The spelling of 20131333224 in words is "twenty billion, one hundred thirty-one million, three hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 73 102 136 146 173 204 219 292 346 408 438 519 584 692 876 1038 1241 1384 1752 2076 2482 2941 3723 3907 4152 4964 5882 7446 7814 8823 9928 11721 11764 12629 14892 15628 17646 23442 23528 25258 29784 31256 35292 37887 46884 50516 66419 70584 75774 93768 101032 132838 151548 199257 214693 265676 285211 303096 398514 429386 531352 570422 644079 675911 797028 855633 858772 1140844 1288158 1351822 1594056 1711266 1717544 2027733 2281688 2576316 2703644 3422532 4055466 4848587 5152632 5407288 6845064 8110932 9697174 11490487 14545761 16221864 19394348 22980974 29091522 34471461 38788696 45961948 49341503 58183044 68942922 91923896 98683006 116366088 137885844 148024509 197366012 275771688 296049018 394732024 592098036 838805551 1184196072 1677611102 2516416653 3355222204 5032833306 6710444408 10065666612 20131333224