Search a number
-
+
1012740012 = 223249875641
BaseRepresentation
bin111100010111010…
…010111110101100
32121120122112010100
4330113102332230
54033230140022
6244254311100
734045101534
oct7427227654
92546575110
101012740012
1147a735619
122431b8490
13131a7ac5b
14987064c4
155dd9b1ac
hex3c5d2fac

1012740012 has 36 divisors (see below), whose sum is σ = 2560948936. Its totient is φ = 337452480.

The previous prime is 1012739971. The next prime is 1012740049. The reversal of 1012740012 is 2100472101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×10127400123 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 176712 + ... + 182352.

Almost surely, 21012740012 is an apocalyptic number.

1012740012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012740012 is an abundant number, since it is smaller than the sum of its proper divisors (1548208924).

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

1012740012 is a wasteful number, since it uses less digits than its factorization.

1012740012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10638 (or 10633 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1012740012 is about 31823.5763546463. The cubic root of 1012740012 is about 1004.2287630231.

The spelling of 1012740012 in words is "one billion, twelve million, seven hundred forty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 4987 5641 9974 11282 14961 16923 19948 22564 29922 33846 44883 50769 59844 67692 89766 101538 179532 203076 28131667 56263334 84395001 112526668 168790002 253185003 337580004 506370006 1012740012