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31000242 = 2372138111
BaseRepresentation
bin111011001000…
…0011010110010
32011022222100010
41312100122302
530414001432
63024235350
7524332500
oct166203262
964288303
1031000242
1116553a39
12a46bb56
136565350
14418d670
152ac53cc
hex1d906b2

31000242 has 48 divisors (see below), whose sum is σ = 77680512. Its totient is φ = 8174880.

The previous prime is 31000241. The next prime is 31000243. The reversal of 31000242 is 24200013.

It is an interprime number because it is at equal distance from previous prime (31000241) and next prime (31000243).

It is a super-2 number, since 2×310002422 = 1922030008117128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31000241) 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, 234 + ... + 7877.

It is an arithmetic number, because the mean of its divisors is an integer number (1618344).

Almost surely, 231000242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31000242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38840256).

31000242 is an abundant number, since it is smaller than the sum of its proper divisors (46680270).

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

31000242 is a wasteful number, since it uses less digits than its factorization.

31000242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8143 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 31000242 is about 5567.7860950292. The cubic root of 31000242 is about 314.1388826715.

Adding to 31000242 its reverse (24200013), we get a palindrome (55200255).

The spelling of 31000242 in words is "thirty-one million, two hundred forty-two", and thus it is an aban number.

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 8111 16222 24333 48666 56777 105443 113554 170331 210886 316329 340662 397439 632658 738101 794878 1192317 1476202 2214303 2384634 4428606 5166707 10333414 15500121 31000242