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31306002 = 2372138191
BaseRepresentation
bin111011101101…
…1000100010010
32011220111202120
41313123010102
531003243002
63034555110
7530045100
oct167330422
964814676
1031306002
1116742732
12a598a96
136641580
14422cc70
152b35cbc
hex1ddb112

31306002 has 48 divisors (see below), whose sum is σ = 78446592. Its totient is φ = 8255520.

The previous prime is 31305973. The next prime is 31306031. The reversal of 31306002 is 20060313.

It is an interprime number because it is at equal distance from previous prime (31305973) and next prime (31306031).

It is a super-2 number, since 2×313060022 = 1960131522448008, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274 + ... + 7917.

It is an arithmetic number, because the mean of its divisors is an integer number (1634304).

Almost surely, 231306002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31306002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39223296).

31306002 is an abundant number, since it is smaller than the sum of its proper divisors (47140590).

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

31306002 is a wasteful number, since it uses less digits than its factorization.

31306002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8223 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 31306002 is about 5595.1766728138. The cubic root of 31306002 is about 315.1683051200.

Adding to 31306002 its reverse (20060313), we get a palindrome (51366315).

The spelling of 31306002 in words is "thirty-one million, three hundred six thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3822 8191 16382 24573 49146 57337 106483 114674 172011 212966 319449 344022 401359 638898 745381 802718 1204077 1490762 2236143 2408154 4472286 5217667 10435334 15653001 31306002