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31013325 = 3252722997
BaseRepresentation
bin111011001001…
…1100111001101
32011100122021200
41312103213031
530414411300
63024420113
7524415600
oct166234715
964318250
1031013325
1116562852
12a477639
13656b2a5
144194337
152ac9200
hex1d939cd

31013325 has 108 divisors (see below), whose sum is σ = 67534740. Its totient is φ = 13547520.

The previous prime is 31013293. The next prime is 31013341. The reversal of 31013325 is 52331013.

It can be written as a sum of positive squares in 6 ways, for example, as 741321 + 30272004 = 861^2 + 5502^2 .

It is not a de Polignac number, because 31013325 - 25 = 31013293 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31013298 and 31013307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 319677 + ... + 319773.

Almost surely, 231013325 is an apocalyptic number.

31013325 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31013325 is an abundant number, since it is smaller than the sum of its proper divisors (36521415).

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

31013325 is a wasteful number, since it uses less digits than its factorization.

31013325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 31013325 is about 5568.9608545940. The cubic root of 31013325 is about 314.1830683586.

Adding to 31013325 its reverse (52331013), we get a palindrome (83344338).

The spelling of 31013325 in words is "thirty-one million, thirteen thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 29 35 45 49 63 75 87 97 105 145 147 175 203 225 245 261 291 315 435 441 485 525 609 679 725 735 873 1015 1225 1305 1421 1455 1575 1827 2037 2175 2205 2425 2813 3045 3395 3675 4263 4365 4753 5075 6111 6525 7105 7275 8439 9135 10185 11025 12789 14065 14259 15225 16975 19691 21315 21825 23765 25317 30555 35525 42195 42777 45675 50925 59073 63945 70325 71295 98455 106575 118825 126585 137837 152775 177219 210975 213885 295365 319725 356475 413511 492275 632925 689185 886095 1069425 1240533 1476825 2067555 3445925 4430475 6202665 10337775 31013325