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31012020 = 223251329457
BaseRepresentation
bin111011001001…
…1010010110100
32011100120111100
41312103102310
530414341040
63024410100
7524412024
oct166232264
964316440
1031012020
1116561876
12a476930
13656a810
144193a84
152ac8b30
hex1d934b4

31012020 has 144 divisors (see below), whose sum is σ = 105028560. Its totient is φ = 7354368.

The previous prime is 31012013. The next prime is 31012021. The reversal of 31012020 is 2021013.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 76176 + 30935844 = 276^2 + 5562^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 31011993 and 31012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31012021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 67632 + ... + 68088.

It is an arithmetic number, because the mean of its divisors is an integer number (729365).

Almost surely, 231012020 is an apocalyptic number.

31012020 is a gapful number since it is divisible by the number (30) 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 31012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52514280).

31012020 is an abundant number, since it is smaller than the sum of its proper divisors (74016540).

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

31012020 is a wasteful number, since it uses less digits than its factorization.

31012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 31012020 is about 5568.8436860806. The cubic root of 31012020 is about 314.1786614931.

Adding to 31012020 its reverse (2021013), we get a palindrome (33033033).

The spelling of 31012020 in words is "thirty-one million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 457 468 522 580 585 754 780 870 914 1044 1131 1170 1305 1371 1508 1740 1828 1885 2262 2285 2340 2610 2742 3393 3770 4113 4524 4570 5220 5484 5655 5941 6786 6855 7540 8226 9140 11310 11882 13253 13572 13710 16452 16965 17823 20565 22620 23764 26506 27420 29705 33930 35646 39759 41130 53012 53469 59410 66265 67860 71292 79518 82260 89115 106938 118820 119277 132530 159036 172289 178230 198795 213876 238554 265060 267345 344578 356460 397590 477108 516867 534690 596385 689156 795180 861445 1033734 1069380 1192770 1550601 1722890 2067468 2385540 2584335 3101202 3445780 5168670 6202404 7753005 10337340 15506010 31012020