Search a number
-
+
1020100200 = 233527892729
BaseRepresentation
bin111100110011010…
…111111001101000
32122002111110101220
4330303113321220
54042121201300
6245120142040
734164465030
oct7463277150
92562443356
101020100200
11483902419
12245767920
131334570b2
14996a08c0
155e851da0
hex3ccd7e68

1020100200 has 192 divisors, whose sum is σ = 3656016000. Its totient is φ = 230461440.

The previous prime is 1020100189. The next prime is 1020100217. The reversal of 1020100200 is 20010201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372436 + ... + 375164.

It is an arithmetic number, because the mean of its divisors is an integer number (19041750).

Almost surely, 21020100200 is an apocalyptic number.

1020100200 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 1020100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1828008000).

1020100200 is an abundant number, since it is smaller than the sum of its proper divisors (2635915800).

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

1020100200 is a wasteful number, since it uses less digits than its factorization.

1020100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2835 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1020100200 is about 31939.0074986685. The cubic root of 1020100200 is about 1006.6556704401.

Adding to 1020100200 its reverse (20010201), we get a palindrome (1040110401).

The spelling of 1020100200 in words is "one billion, twenty million, one hundred thousand, two hundred".