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1004001131 = 737141227
BaseRepresentation
bin111011110101111…
…101011101101011
32120222012112122002
4323311331131223
54024011014011
6243343121215
733610604000
oct7365753553
92528175562
101004001131
11475806a01
122402a320b
1313000b413
14974ad8a7
155d221c3b
hex3bd7d76b

1004001131 has 16 divisors (see below), whose sum is σ = 1187366400. Its totient is φ = 848431080.

The previous prime is 1004001107. The next prime is 1004001133. The reversal of 1004001131 is 1311004001.

It is not a de Polignac number, because 1004001131 - 226 = 936892267 is a prime.

It is a super-2 number, since 2×10040011312 = 2016036542098558322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1004001133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3740 + ... + 44966.

It is an arithmetic number, because the mean of its divisors is an integer number (74210400).

Almost surely, 21004001131 is an apocalyptic number.

1004001131 is a deficient number, since it is larger than the sum of its proper divisors (183365269).

1004001131 is an frugal number, since it uses more digits than its factorization.

1004001131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41319 (or 41305 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1004001131 is about 31685.9768825264. The cubic root of 1004001131 is about 1001.3319354935.

Adding to 1004001131 its reverse (1311004001), we get a palindrome (2315005132).

The spelling of 1004001131 in words is "one billion, four million, one thousand, one hundred thirty-one".

Divisors: 1 7 49 71 343 497 3479 24353 41227 288589 2020123 2927117 14140861 20489819 143428733 1004001131