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31112004 = 22371123061
BaseRepresentation
bin111011010101…
…1101101000100
32011112122122110
41312223231010
530431041004
63030501020
7525306360
oct166535504
964478573
1031112004
111661aa00
12a504770
1365a4191
1441bc2a0
152ae8589
hex1dabb44

31112004 has 72 divisors (see below), whose sum is σ = 91223104. Its totient is φ = 8078400.

The previous prime is 31111999. The next prime is 31112009. The reversal of 31112004 is 40021113.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31111999) and next prime (31112009).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31112009) 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, 8634 + ... + 11694.

Almost surely, 231112004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31112004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45611552).

31112004 is an abundant number, since it is smaller than the sum of its proper divisors (60111100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31112004 is a wasteful number, since it uses less digits than its factorization.

31112004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 31112004 is about 5577.8135501288. The cubic root of 31112004 is about 314.5159408327.

Adding to 31112004 its reverse (40021113), we get a palindrome (71133117).

It can be divided in two parts, 3111 and 2004, that added together give a palindrome (5115).

The spelling of 31112004 in words is "thirty-one million, one hundred twelve thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 121 132 154 231 242 308 363 462 484 726 847 924 1452 1694 2541 3061 3388 5082 6122 9183 10164 12244 18366 21427 33671 36732 42854 64281 67342 85708 101013 128562 134684 202026 235697 257124 370381 404052 471394 707091 740762 942788 1111143 1414182 1481524 2222286 2592667 2828364 4444572 5185334 7778001 10370668 15556002 31112004