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1000131021 = 323111331723
BaseRepresentation
bin111011100111001…
…100100111001101
32120200220220211200
4323213030213031
54022013143041
6243124140113
733532654611
oct7347144715
92520826750
101000131021
1147360326a
1223ab37639
1312c284a06
1496b83341
155cc0a1b6
hex3b9cc9cd

1000131021 has 24 divisors (see below), whose sum is σ = 1504478976. Its totient is φ = 639515520.

The previous prime is 1000131019. The next prime is 1000131037. The reversal of 1000131021 is 1201310001.

It is not a de Polignac number, because 1000131021 - 21 = 1000131019 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000130994 and 1000131012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000131071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15666 + ... + 47388.

It is an arithmetic number, because the mean of its divisors is an integer number (62686624).

Almost surely, 21000131021 is an apocalyptic number.

It is an amenable number.

1000131021 is a deficient number, since it is larger than the sum of its proper divisors (504347955).

1000131021 is a wasteful number, since it uses less digits than its factorization.

1000131021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31873 (or 31870 counting only the distinct ones).

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

The square root of 1000131021 is about 31624.8481577382. The cubic root of 1000131021 is about 1000.0436717594.

Adding to 1000131021 its reverse (1201310001), we get a palindrome (2201441022).

The spelling of 1000131021 in words is "one billion, one hundred thirty-one thousand, twenty-one".

Divisors: 1 3 9 31 93 113 279 339 1017 3503 10509 31527 31723 95169 285507 983413 2950239 3584699 8850717 10754097 32262291 111125669 333377007 1000131021