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31013010 = 2335761269
BaseRepresentation
bin111011001001…
…1100010010010
32011100121212000
41312103202102
530414404020
63024414430
7524414640
oct166234222
964317760
1031013010
1116562596
12a477416
13656b0c2
144194190
152ac9090
hex1d93892

31013010 has 128 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 6946560.

The previous prime is 31012973. The next prime is 31013023. The reversal of 31013010 is 1031013.

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 = 31012983 and 31013001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115156 + ... + 115424.

It is an arithmetic number, because the mean of its divisors is an integer number (753300).

Almost surely, 231013010 is an apocalyptic number.

31013010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31013010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

31013010 is an abundant number, since it is smaller than the sum of its proper divisors (65409390).

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

31013010 is a wasteful number, since it uses less digits than its factorization.

31013010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

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

The square root of 31013010 is about 5568.9325727647. The cubic root of 31013010 is about 314.1820046438.

Adding to 31013010 its reverse (1031013), we get a palindrome (32044023).

The spelling of 31013010 in words is "thirty-one million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 61 63 70 90 105 122 126 135 183 189 210 269 270 305 315 366 378 427 538 549 610 630 807 854 915 945 1098 1281 1345 1614 1647 1830 1883 1890 2135 2421 2562 2690 2745 3294 3766 3843 4035 4270 4842 5490 5649 6405 7263 7686 8070 8235 9415 11298 11529 12105 12810 14526 16409 16470 16947 18830 19215 23058 24210 28245 32818 33894 36315 38430 49227 50841 56490 57645 72630 82045 84735 98454 101682 114863 115290 147681 164090 169470 229726 246135 254205 295362 344589 443043 492270 508410 574315 689178 738405 886086 1033767 1148630 1476810 1722945 2067534 2215215 3101301 3445890 4430430 5168835 6202602 10337670 15506505 31013010