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171331104 = 25371371861
BaseRepresentation
bin10100011011001…
…00111000100000
3102221101112002110
422031210320200
5322330043404
625000115320
74150201410
oct1215447040
9387345073
10171331104
118879165a
1249465b40
132965a169
1418a7c640
1510094b89
hexa364e20

171331104 has 96 divisors (see below), whose sum is σ = 518023296. Its totient is φ = 48568320.

The previous prime is 171331099. The next prime is 171331109. The reversal of 171331104 is 401133171.

It is an interprime number because it is at equal distance from previous prime (171331099) and next prime (171331109).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (171331109) 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, 91134 + ... + 92994.

It is an arithmetic number, because the mean of its divisors is an integer number (5396076).

Almost surely, 2171331104 is an apocalyptic number.

171331104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 171331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259011648).

171331104 is an abundant number, since it is smaller than the sum of its proper divisors (346692192).

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

171331104 is a wasteful number, since it uses less digits than its factorization.

171331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 171331104 is about 13089.3507860398. The cubic root of 171331104 is about 555.4079234624.

Adding to 171331104 its reverse (401133171), we get a palindrome (572464275).

The spelling of 171331104 in words is "one hundred seventy-one million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 137 168 224 274 336 411 548 672 822 959 1096 1644 1861 1918 2192 2877 3288 3722 3836 4384 5583 5754 6576 7444 7672 11166 11508 13027 13152 14888 15344 22332 23016 26054 29776 30688 39081 44664 46032 52108 59552 78162 89328 92064 104216 156324 178656 208432 254957 312648 416864 509914 625296 764871 1019828 1250592 1529742 1784699 2039656 3059484 3569398 4079312 5354097 6118968 7138796 8158624 10708194 12237936 14277592 21416388 24475872 28555184 42832776 57110368 85665552 171331104