Search a number
-
+
1010201140 = 225139414129
BaseRepresentation
bin111100001101100…
…111001000110100
32121101212112110001
4330031213020310
54032102414030
6244124041044
734014365554
oct7415471064
92541775401
101010201140
11479261083
12242393184
1313139c470
1498245164
155da48cca
hex3c367234

1010201140 has 48 divisors (see below), whose sum is σ = 2287590480. Its totient is φ = 372510720.

The previous prime is 1010201119. The next prime is 1010201161. The reversal of 1010201140 is 411020101.

1010201140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1010201119) and next prime (1010201161).

It can be written as a sum of positive squares in 8 ways, for example, as 32012964 + 978188176 = 5658^2 + 31276^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242596 + ... + 246724.

It is an arithmetic number, because the mean of its divisors is an integer number (47658135).

Almost surely, 21010201140 is an apocalyptic number.

1010201140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010201140 is an abundant number, since it is smaller than the sum of its proper divisors (1277389340).

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

1010201140 is a wasteful number, since it uses less digits than its factorization.

1010201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5092 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1010201140 is about 31783.6615260105. The cubic root of 1010201140 is about 1003.3888825022.

Adding to 1010201140 its reverse (411020101), we get a palindrome (1421221241).

The spelling of 1010201140 in words is "one billion, ten million, two hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 941 1882 3764 4129 4705 8258 9410 12233 16516 18820 20645 24466 41290 48932 53677 61165 82580 107354 122330 214708 244660 268385 536770 1073540 3885389 7770778 15541556 19426945 38853890 50510057 77707780 101020114 202040228 252550285 505100570 1010201140