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1004144031 = 32112922079
BaseRepresentation
bin111011110110100…
…000010110011111
32120222110210122200
4323312200112133
54024030102111
6243350142543
733612040422
oct7366402637
92528423580
101004144031
114758a4300
12240351a53
1313005b487
14975099b9
155d24e256
hex3bda059f

1004144031 has 18 divisors (see below), whose sum is σ = 1594276320. Its totient is φ = 608571480.

The previous prime is 1004144027. The next prime is 1004144039. The reversal of 1004144031 is 1304414001.

It is not a de Polignac number, because 1004144031 - 22 = 1004144027 is a prime.

It is a super-2 number, since 2×10041440312 = 2016610469985857922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1004143995 and 1004144013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004144039) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 459951 + ... + 462128.

Almost surely, 21004144031 is an apocalyptic number.

1004144031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1004144031 is a deficient number, since it is larger than the sum of its proper divisors (590132289).

1004144031 is a wasteful number, since it uses less digits than its factorization.

1004144031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922107 (or 922093 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1004144031 is about 31688.2317430304. The cubic root of 1004144031 is about 1001.3794399372.

Adding to 1004144031 its reverse (1304414001), we get a palindrome (2308558032).

The spelling of 1004144031 in words is "one billion, four million, one hundred forty-four thousand, thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 922079 2766237 8298711 10142869 30428607 91285821 111571559 334714677 1004144031