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31443100 = 22521319267
BaseRepresentation
bin111011111110…
…0100010011100
32012011110211021
41313330202130
531022134400
63041533524
7531155563
oct167744234
965143737
1031443100
1116826737
12a6442a4
13668bab0
144266bda
152b6171a
hex1dfc89c

31443100 has 108 divisors (see below), whose sum is σ = 78708504. Its totient is φ = 10834560.

The previous prime is 31443091. The next prime is 31443133. The reversal of 31443100 is 134413.

It is a super-2 number, since 2×314431002 = 1977337075220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 469267 + ... + 469333.

Almost surely, 231443100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39354252).

31443100 is an abundant number, since it is smaller than the sum of its proper divisors (47265404).

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

31443100 is a wasteful number, since it uses less digits than its factorization.

31443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 31443100 is about 5607.4147340820. The cubic root of 31443100 is about 315.6277060840.

Adding to 31443100 its reverse (134413), we get a palindrome (31577513).

The spelling of 31443100 in words is "thirty-one million, four hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 19 20 25 26 38 50 52 65 67 76 95 100 130 134 190 247 260 268 325 335 361 380 475 494 650 670 722 871 950 988 1235 1273 1300 1340 1444 1675 1742 1805 1900 2470 2546 3350 3484 3610 4355 4693 4940 5092 6175 6365 6700 7220 8710 9025 9386 12350 12730 16549 17420 18050 18772 21775 23465 24187 24700 25460 31825 33098 36100 43550 46930 48374 63650 66196 82745 87100 93860 96748 117325 120935 127300 165490 234650 241870 314431 330980 413725 469300 483740 604675 628862 827450 1209350 1257724 1572155 1654900 2418700 3144310 6288620 7860775 15721550 31443100