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31000002 = 2311835659
BaseRepresentation
bin111011001000…
…0010111000010
32011022222000020
41312100113002
530414000002
63024234310
7524332005
oct166202702
964288006
1031000002
1116553840
12a46b996
1365651c7
14418d53c
152ac52bc
hex1d905c2

31000002 has 32 divisors (see below), whose sum is σ = 68463360. Its totient is φ = 9279120.

The previous prime is 30999989. The next prime is 31000003. The reversal of 31000002 is 20000013.

It is a super-2 number, since 2×310000022 = 1922000248000008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (31000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2649 + ... + 8307.

It is an arithmetic number, because the mean of its divisors is an integer number (2139480).

Almost surely, 231000002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34231680).

31000002 is an abundant number, since it is smaller than the sum of its proper divisors (37463358).

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

31000002 is a wasteful number, since it uses less digits than its factorization.

31000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758.

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

The square root of 31000002 is about 5567.7645424353. The cubic root of 31000002 is about 314.1380719948.

Adding to 31000002 its reverse (20000013), we get a palindrome (51000015).

The spelling of 31000002 in words is "thirty-one million, two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1826 2739 5478 5659 11318 16977 33954 62249 124498 186747 373494 469697 939394 1409091 2818182 5166667 10333334 15500001 31000002