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31205421 = 32131729541
BaseRepresentation
bin111011100001…
…0100000101101
32011201101210100
41313002200231
530442033141
63032501313
7526145622
oct167024055
964641710
1031205421
1116684105
12a54a839
136607860
144204349
152b160b6
hex1dc282d

31205421 has 48 divisors (see below), whose sum is σ = 53267760. Its totient is φ = 17418240.

The previous prime is 31205417. The next prime is 31205431. The reversal of 31205421 is 12450213.

31205421 is a `hidden beast` number, since 3 + 120 + 542 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 236196 + 30969225 = 486^2 + 5565^2 .

It is not a de Polignac number, because 31205421 - 22 = 31205417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 31205394 and 31205403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31205431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57411 + ... + 57951.

It is an arithmetic number, because the mean of its divisors is an integer number (1109745).

Almost surely, 231205421 is an apocalyptic number.

It is an amenable number.

31205421 is a deficient number, since it is larger than the sum of its proper divisors (22062339).

31205421 is a wasteful number, since it uses less digits than its factorization.

31205421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 31205421 is about 5586.1812537726. The cubic root of 31205421 is about 314.8304151427.

Adding to 31205421 its reverse (12450213), we get a palindrome (43655634).

It can be divided in two parts, 31205 and 421, that added together give a triangular number (31626 = T251).

The spelling of 31205421 in words is "thirty-one million, two hundred five thousand, four hundred twenty-one".

Divisors: 1 3 9 13 17 29 39 51 87 117 153 221 261 377 493 541 663 1131 1479 1623 1989 3393 4437 4869 6409 7033 9197 15689 19227 21099 27591 47067 57681 63297 82773 119561 141201 203957 266713 358683 611871 800139 1076049 1835613 2400417 3467269 10401807 31205421