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1032101420 = 225726328031
BaseRepresentation
bin111101100001001…
…001111000101100
32122221002011222112
4331201021320230
54103204221140
6250225303152
734401501020
oct7541117054
92587064875
101032101420
1148a65a089
12249794ab8
13135a997cc
149b106380
1560922c65
hex3d849e2c

1032101420 has 48 divisors (see below), whose sum is σ = 2486550528. Its totient is φ = 352505280.

The previous prime is 1032101407. The next prime is 1032101423. The reversal of 1032101420 is 241012301.

1032101420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1032101395 and 1032101404.

It is not an unprimeable number, because it can be changed into a prime (1032101423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22805 + ... + 50835.

It is an arithmetic number, because the mean of its divisors is an integer number (51803136).

Almost surely, 21032101420 is an apocalyptic number.

1032101420 is a gapful number since it is divisible by the number (10) 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 1032101420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243275264).

1032101420 is an abundant number, since it is smaller than the sum of its proper divisors (1454449108).

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

1032101420 is a wasteful number, since it uses less digits than its factorization.

1032101420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28310 (or 28308 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1032101420 is about 32126.3353029878. The cubic root of 1032101420 is about 1010.5879725159.

Adding to 1032101420 its reverse (241012301), we get a palindrome (1273113721).

The spelling of 1032101420 in words is "one billion, thirty-two million, one hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 263 526 1052 1315 1841 2630 3682 5260 7364 9205 18410 28031 36820 56062 112124 140155 196217 280310 392434 560620 784868 981085 1962170 3924340 7372153 14744306 29488612 36860765 51605071 73721530 103210142 147443060 206420284 258025355 516050710 1032101420