Search a number
-
+
1210401312032 = 251113137969259
BaseRepresentation
bin10001100111010001100…
…010100100110100100000
311021201020221121111201102
4101213101202210310200
5124312400213441112
62324014540453532
7153306605252633
oct21472142446440
94251227544642
101210401312032
11427367a92840
12176700b4a2a8
138a1a9485a03
1442825ab3c1a
1521742e1abc2
hex119d18a4d20

1210401312032 has 96 divisors (see below), whose sum is σ = 2626405689600. Its totient is φ = 544534099200.

The previous prime is 1210401312019. The next prime is 1210401312101. The reversal of 1210401312032 is 2302131040121.

It is a junction number, because it is equal to n+sod(n) for n = 1210401311995 and 1210401312013.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17441819 + ... + 17511077.

It is an arithmetic number, because the mean of its divisors is an integer number (27358392600).

Almost surely, 21210401312032 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 1210401312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313202844800).

1210401312032 is an abundant number, since it is smaller than the sum of its proper divisors (1416004377568).

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

1210401312032 is a wasteful number, since it uses less digits than its factorization.

1210401312032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69790 (or 69782 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1210401312032 its reverse (2302131040121), we get a palindrome (3512532352153).

The spelling of 1210401312032 in words is "one trillion, two hundred ten billion, four hundred one million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 131 176 262 352 379 524 758 1048 1441 1516 2096 2882 3032 4169 4192 5764 6064 8338 11528 12128 16676 23056 33352 46112 49649 66704 69259 99298 133408 138518 198596 277036 397192 546139 554072 761849 794384 1092278 1108144 1523698 1588768 2184556 2216288 3047396 4369112 6094792 8738224 9072929 12189584 17476448 18145858 24379168 26249161 36291716 52498322 72583432 99802219 104996644 145166864 199604438 209993288 288740771 290333728 399208876 419986576 577481542 798417752 839973152 1154963084 1596835504 2309926168 3193671008 3438640091 4619852336 6877280182 9239704672 13754560364 27509120728 37825041001 55018241456 75650082002 110036482912 151300164004 302600328008 605200656016 1210401312032