Search a number
-
+
1034101020 = 223553325189
BaseRepresentation
bin111101101000110…
…010000100011100
32200001211202220210
4331220302010130
54104212213040
6250340212420
734424466531
oct7550620434
92601752823
101034101020
114907a5447
1224a39a110
131363199c4
149b4a6d88
1560bba480
hex3da3211c

1034101020 has 48 divisors (see below), whose sum is σ = 2950123680. Its totient is φ = 270556416.

The previous prime is 1034100989. The next prime is 1034101027. The reversal of 1034101020 is 201014301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1034100987 and 1034101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034101027) 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, 159415 + ... + 165774.

It is an arithmetic number, because the mean of its divisors is an integer number (61460910).

Almost surely, 21034101020 is an apocalyptic number.

1034101020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034101020 is an abundant number, since it is smaller than the sum of its proper divisors (1916022660).

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

1034101020 is a wasteful number, since it uses less digits than its factorization.

1034101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325254 (or 325252 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1034101020 is about 32157.4411295426. The cubic root of 1034101020 is about 1011.2401913950.

Adding to 1034101020 its reverse (201014301), we get a palindrome (1235115321).

The spelling of 1034101020 in words is "one billion, thirty-four million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 325189 650378 975567 1300756 1625945 1951134 3251890 3902268 4877835 6503780 9755670 17235017 19511340 34470034 51705051 68940068 86175085 103410102 172350170 206820204 258525255 344700340 517050510 1034101020