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1032321401120 = 25520129320533
BaseRepresentation
bin11110000010110110010…
…01101000000100100000
310122200121020211201112102
433001123021220010200
5113403143234313440
62110124130145532
7134403613062122
oct17013311500440
93580536751472
101032321401120
11368894577a49
121480a24222a8
1376469589b69
1437d70cd1212
151bcbe08cb15
hexf05b268120

1032321401120 has 48 divisors (see below), whose sum is σ = 2438988080760. Its totient is φ = 412906758144.

The previous prime is 1032321401101. The next prime is 1032321401141. The reversal of 1032321401120 is 211041232301.

It can be written as a sum of positive squares in 4 ways, for example, as 880692156304 + 151629244816 = 938452^2 + 389396^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1032321401092 and 1032321401101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3060374 + ... + 3380906.

Almost surely, 21032321401120 is an apocalyptic number.

1032321401120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032321401120 is an abundant number, since it is smaller than the sum of its proper divisors (1406666679640).

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

1032321401120 is a wasteful number, since it uses less digits than its factorization.

1032321401120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340677 (or 340669 counting only the distinct ones).

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

Adding to 1032321401120 its reverse (211041232301), we get a palindrome (1243362633421).

The spelling of 1032321401120 in words is "one trillion, thirty-two billion, three hundred twenty-one million, four hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 20129 40258 80516 100645 161032 201290 320533 322064 402580 641066 644128 805160 1282132 1602665 1610320 2564264 3205330 3220640 5128528 6410660 10257056 12821320 25642640 51285280 6452008757 12904017514 25808035028 32260043785 51616070056 64520087570 103232140112 129040175140 206464280224 258080350280 516160700560 1032321401120