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1012033231 = 11210182811
BaseRepresentation
bin111100010100100…
…110011011001111
32121112022121121021
4330110212123033
54033040030411
6244231215011
734036066126
oct7424463317
92545277537
101012033231
1147a2a2600
12242b17467
13131891341
14985a0abd
155dcaba71
hex3c5266cf

1012033231 has 12 divisors (see below), whose sum is σ = 1123427592. Its totient is φ = 910910000.

The previous prime is 1012033177. The next prime is 1012033261. The reversal of 1012033231 is 1323302101.

It is not a de Polignac number, because 1012033231 - 227 = 877815503 is a prime.

It is a super-4 number, since 4×10120332314 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012033261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29185 + ... + 53626.

It is an arithmetic number, because the mean of its divisors is an integer number (93618966).

Almost surely, 21012033231 is an apocalyptic number.

1012033231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1012033231 is a deficient number, since it is larger than the sum of its proper divisors (111394361).

1012033231 is a wasteful number, since it uses less digits than its factorization.

1012033231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82934 (or 82923 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1012033231 is about 31812.4697406536. The cubic root of 1012033231 is about 1003.9950949613.

Adding to 1012033231 its reverse (1323302101), we get a palindrome (2335335332).

The spelling of 1012033231 in words is "one billion, twelve million, thirty-three thousand, two hundred thirty-one".

Divisors: 1 11 101 121 1111 12221 82811 910921 8363911 10020131 92003021 1012033231