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1012000131 = 32136182619
BaseRepresentation
bin111100010100011…
…110010110000011
32121112020221012100
4330110132112003
54033033001011
6244230401443
734035600462
oct7424362603
92545227170
101012000131
1147a27a74a
12242b00283
1313187c25c
14985929d9
155dca1d56
hex3c51e583

1012000131 has 12 divisors (see below), whose sum is σ = 1462869720. Its totient is φ = 674162880.

The previous prime is 1012000117. The next prime is 1012000139. The reversal of 1012000131 is 1310002101.

1012000131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1012000131 - 217 = 1011869059 is a prime.

It is a super-2 number, since 2×10120001312 = 2048288530288034322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1012000139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29061 + ... + 53558.

It is an arithmetic number, because the mean of its divisors is an integer number (121905810).

Almost surely, 21012000131 is an apocalyptic number.

1012000131 is a deficient number, since it is larger than the sum of its proper divisors (450869589).

1012000131 is a wasteful number, since it uses less digits than its factorization.

1012000131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83986 (or 83983 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1012000131 is about 31811.9495001485. The cubic root of 1012000131 is about 1003.9841491416.

Adding to 1012000131 its reverse (1310002101), we get a palindrome (2322002232).

The spelling of 1012000131 in words is "one billion, twelve million, one hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 9 1361 4083 12249 82619 247857 743571 112444459 337333377 1012000131