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31381020 = 2235511587
BaseRepresentation
bin111011110110…
…1011000011100
32012001022200000
41313231120130
531013143040
63040334300
7530506566
oct167553034
965038600
1031381020
1116794030
12a614390
136669768
14424c336
152b4d130
hex1ded61c

31381020 has 144 divisors (see below), whose sum is σ = 107872128. Its totient is φ = 7594560.

The previous prime is 31380983. The next prime is 31381043. The reversal of 31381020 is 2018313.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31380984 and 31381002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53167 + ... + 53753.

It is an arithmetic number, because the mean of its divisors is an integer number (749112).

Almost surely, 231381020 is an apocalyptic number.

31381020 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 31381020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53936064).

31381020 is an abundant number, since it is smaller than the sum of its proper divisors (76491108).

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

31381020 is a wasteful number, since it uses less digits than its factorization.

31381020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31381020 is about 5601.8764713264. The cubic root of 31381020 is about 315.4198483191.

Adding to 31381020 its reverse (2018313), we get a palindrome (33399333).

The spelling of 31381020 in words is "thirty-one million, three hundred eighty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 243 270 297 324 330 396 405 486 495 540 587 594 660 810 891 972 990 1174 1188 1215 1485 1620 1761 1782 1980 2348 2430 2673 2935 2970 3522 3564 4455 4860 5283 5346 5870 5940 6457 7044 8805 8910 10566 10692 11740 12914 13365 15849 17610 17820 19371 21132 25828 26415 26730 31698 32285 35220 38742 47547 52830 53460 58113 63396 64570 77484 79245 95094 96855 105660 116226 129140 142641 158490 174339 190188 193710 232452 237735 285282 290565 316980 348678 387420 475470 523017 570564 581130 697356 713205 871695 950940 1046034 1162260 1426410 1569051 1743390 2092068 2615085 2852820 3138102 3486780 5230170 6276204 7845255 10460340 15690510 31381020