Search a number
-
+
1126202000 = 245371171103
BaseRepresentation
bin100001100100000…
…0111101010010000
32220111010222201012
41003020013222100
54301301431000
6303430230052
736623362520
oct10310075220
92814128635
101126202000
11528791260
122751b5328
1314c426021
14a97dd680
1568d0e735
hex43207a90

1126202000 has 320 divisors, whose sum is σ = 3476348928. Its totient is φ = 342720000.

The previous prime is 1126201997. The next prime is 1126202003. The reversal of 1126202000 is 2026211.

It is an interprime number because it is at equal distance from previous prime (1126201997) and next prime (1126202003).

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

It is not an unprimeable number, because it can be changed into a prime (1126202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10933949 + ... + 10934051.

Almost surely, 21126202000 is an apocalyptic number.

1126202000 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 1126202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738174464).

1126202000 is an abundant number, since it is smaller than the sum of its proper divisors (2350146928).

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

1126202000 is a wasteful number, since it uses less digits than its factorization.

1126202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

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

The square root of 1126202000 is about 33558.9332369192. The cubic root of 1126202000 is about 1040.4121886845.

Adding to 1126202000 its reverse (2026211), we get a palindrome (1128228211).

The spelling of 1126202000 in words is "one billion, one hundred twenty-six million, two hundred two thousand".