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31332120 = 2335261101
BaseRepresentation
bin111011110000…
…1011100011000
32011221211120220
41313201130120
531010111440
63035320040
7530214201
oct167413430
964854526
1031332120
1116760316
12a5b0020
136650421
1442385a8
152b3d8d0
hex1de1718

31332120 has 32 divisors (see below), whose sum is σ = 93996720. Its totient is φ = 8355200.

The previous prime is 31332109. The next prime is 31332149. The reversal of 31332120 is 2123313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31332120.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 130431 + ... + 130670.

Almost surely, 231332120 is an apocalyptic number.

31332120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31332120 is an abundant number, since it is smaller than the sum of its proper divisors (62664600).

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

31332120 is a wasteful number, since it uses less digits than its factorization.

31332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261115 (or 261111 counting only the distinct ones).

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

The square root of 31332120 is about 5597.5101607768. The cubic root of 31332120 is about 315.2559270580.

Adding to 31332120 its reverse (2123313), we get a palindrome (33455433).

It can be divided in two parts, 3133 and 2120, that added together give a triangular number (5253 = T102).

The spelling of 31332120 in words is "thirty-one million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 261101 522202 783303 1044404 1305505 1566606 2088808 2611010 3133212 3916515 5222020 6266424 7833030 10444040 15666060 31332120