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112020321424 = 241117157238471
BaseRepresentation
bin110100001010011101…
…1100111010010010000
3101201010212222221100111
41220110323213102100
53313404200241144
6123243400131104
711043653010244
oct1502473472220
9351125887314
10112020321424
1143564607540
1219863466a94
13a742c3aa7b
1455c964c424
152da9671534
hex1a14ee7490

112020321424 has 80 divisors (see below), whose sum is σ = 252295744896. Its totient is φ = 47617689600.

The previous prime is 112020321397. The next prime is 112020321449. The reversal of 112020321424 is 424123020211.

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

It is a junction number, because it is equal to n+sod(n) for n = 112020321395 and 112020321404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350509 + ... + 588979.

Almost surely, 2112020321424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112020321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126147872448).

112020321424 is an abundant number, since it is smaller than the sum of its proper divisors (140275423472).

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

112020321424 is a wasteful number, since it uses less digits than its factorization.

112020321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238664 (or 238658 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 112020321424 its reverse (424123020211), we get a palindrome (536143341635).

The spelling of 112020321424 in words is "one hundred twelve billion, twenty million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 157 176 187 272 314 374 628 748 1256 1496 1727 2512 2669 2992 3454 5338 6908 10676 13816 21352 27632 29359 42704 58718 117436 234872 238471 469744 476942 953884 1907768 2623181 3815536 4054007 5246362 8108014 10492724 16216028 20985448 32432056 37439947 41970896 44594077 64864112 74879894 89188154 149759788 178376308 299519576 356752616 411839417 599039152 636479099 713505232 823678834 1272958198 1647357668 2545916396 3294715336 5091832792 6589430672 7001270089 10183665584 14002540178 28005080356 56010160712 112020321424