Search a number
-
+
1013202000 = 24335329647
BaseRepresentation
bin111100011001000…
…011110001010000
32121121111222212000
4330121003301100
54033334431000
6244312234000
734052034456
oct7431036120
92547458760
101013202000
1147aa20728
1224339b900
13131bb0315
14987c69d6
155de3d000
hex3c643c50

1013202000 has 320 divisors, whose sum is σ = 3760473600. Its totient is φ = 260467200.

The previous prime is 1013201953. The next prime is 1013202019. The reversal of 1013202000 is 2023101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1565677 + ... + 1566323.

It is an arithmetic number, because the mean of its divisors is an integer number (11751480).

Almost surely, 21013202000 is an apocalyptic number.

1013202000 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 1013202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880236800).

1013202000 is an abundant number, since it is smaller than the sum of its proper divisors (2747271600).

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

1013202000 is a wasteful number, since it uses less digits than its factorization.

1013202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1013202000 is about 31830.8341078270. The cubic root of 1013202000 is about 1004.3814415993.

Adding to 1013202000 its reverse (2023101), we get a palindrome (1015225101).

The spelling of 1013202000 in words is "one billion, thirteen million, two hundred two thousand".