Search a number
-
+
1012041121 = 71327311719
BaseRepresentation
bin111100010100101…
…000010110100001
32121112100000102111
4330110220112201
54033040303441
6244231315321
734036131130
oct7424502641
92545300374
101012041121
1147a2a8523
12242b1bb41
13131894b00
14985a3917
155dcae081
hex3c5285a1

1012041121 has 24 divisors (see below), whose sum is σ = 1269697920. Its totient is φ = 789699456.

The previous prime is 1012041103. The next prime is 1012041133. The reversal of 1012041121 is 1211402101.

It is not a de Polignac number, because 1012041121 - 223 = 1003652513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012041521) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 80500 + ... + 92218.

It is an arithmetic number, because the mean of its divisors is an integer number (52904080).

Almost surely, 21012041121 is an apocalyptic number.

It is an amenable number.

1012041121 is a deficient number, since it is larger than the sum of its proper divisors (257656799).

1012041121 is a wasteful number, since it uses less digits than its factorization.

1012041121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11825 (or 11812 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1012041121 is about 31812.5937483884. The cubic root of 1012041121 is about 1003.9977040656.

Adding to 1012041121 its reverse (1211402101), we get a palindrome (2223443222).

The spelling of 1012041121 in words is "one billion, twelve million, forty-one thousand, one hundred twenty-one".

Divisors: 1 7 13 73 91 169 511 949 1183 6643 11719 12337 82033 86359 152347 855487 1066429 1980511 5988409 11121331 13863577 77849317 144577303 1012041121