Search a number
-
+
1120010010 = 235719727073
BaseRepresentation
bin100001011000001…
…1111111100011010
32220001111101220020
41002300133330122
54243210310020
6303045411310
736516633210
oct10260377432
92801441806
101120010010
11525242109
12273109b36
1314b068822
14a8a6acb0
15684d9c40
hex42c1ff1a

1120010010 has 64 divisors (see below), whose sum is σ = 3087735552. Its totient is φ = 254693376.

The previous prime is 1120009993. The next prime is 1120010011. The reversal of 1120010010 is 100100211.

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

1120010010 is a modest number, since divided by 10010 gives 1120 as remainder.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1120010011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27834 + ... + 54906.

It is an arithmetic number, because the mean of its divisors is an integer number (48245868).

Almost surely, 21120010010 is an apocalyptic number.

1120010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543867776).

1120010010 is an abundant number, since it is smaller than the sum of its proper divisors (1967725542).

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

1120010010 is a wasteful number, since it uses less digits than its factorization.

1120010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27287.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1120010010 is about 33466.5506140086. The cubic root of 1120010010 is about 1038.5019142221.

Adding to 1120010010 its reverse (100100211), we get a palindrome (1220110221).

The spelling of 1120010010 in words is "one billion, one hundred twenty million, ten thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 197 210 394 591 985 1182 1379 1970 2758 2955 4137 5910 6895 8274 13790 20685 27073 41370 54146 81219 135365 162438 189511 270730 379022 406095 568533 812190 947555 1137066 1895110 2842665 5333381 5685330 10666762 16000143 26666905 32000286 37333667 53333810 74667334 80000715 112001001 160001430 186668335 224002002 373336670 560005005 1120010010