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31002004 = 221137137139
BaseRepresentation
bin111011001000…
…0110110010100
32011100001202101
41312100312110
530414031004
63024251444
7524340565
oct166206624
964301671
1031002004
11165552a0
12a470b84
1365660a7
14419016c
152ac5ba4
hex1d90d94

31002004 has 48 divisors (see below), whose sum is σ = 61669440. Its totient is φ = 13512960.

The previous prime is 31002001. The next prime is 31002007. The reversal of 31002004 is 40020013.

It is an interprime number because it is at equal distance from previous prime (31002001) and next prime (31002007).

It is a super-3 number, since 3×310020043 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002001) 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, 222967 + ... + 223105.

It is an arithmetic number, because the mean of its divisors is an integer number (1284780).

Almost surely, 231002004 is an apocalyptic number.

It is an amenable number.

31002004 is a deficient number, since it is larger than the sum of its proper divisors (30667436).

31002004 is a wasteful number, since it uses less digits than its factorization.

31002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 31002004 is about 5567.9443244343. The cubic root of 31002004 is about 314.1448342619.

Adding to 31002004 its reverse (40020013), we get a palindrome (71022017).

Subtracting 31002004 from its reverse (40020013), we obtain a square (9018009 = 30032).

The spelling of 31002004 in words is "thirty-one million, two thousand, four".

Divisors: 1 2 4 11 22 37 44 74 137 139 148 274 278 407 548 556 814 1507 1529 1628 3014 3058 5069 5143 6028 6116 10138 10286 19043 20276 20572 38086 55759 56573 76172 111518 113146 209473 223036 226292 418946 704591 837892 1409182 2818364 7750501 15501002 31002004