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31987076220 = 223251153304813
BaseRepresentation
bin11101110010100101…
…000000110001111100
310001120020022211111200
4131302211000301330
51011002142414340
622410014015500
72211445442661
oct356245006174
9101506284450
1031987076220
1112624963890
1262484a7590
133029c65b48
1417962dba68
15c732d7330
hex772940c7c

31987076220 has 144 divisors (see below), whose sum is σ = 107845631712. Its totient is φ = 7608107520.

The previous prime is 31987076197. The next prime is 31987076243. The reversal of 31987076220 is 2267078913.

31987076220 is a `hidden beast` number, since 3 + 19 + 8 + 7 + 0 + 7 + 622 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (31987076197) and next prime (31987076243).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47467 + ... + 257346.

It is an arithmetic number, because the mean of its divisors is an integer number (748927998).

Almost surely, 231987076220 is an apocalyptic number.

31987076220 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 31987076220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53922815856).

31987076220 is an abundant number, since it is smaller than the sum of its proper divisors (75858555492).

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

31987076220 is a wasteful number, since it uses less digits than its factorization.

31987076220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304892 (or 304887 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 31987076220 in words is "thirty-one billion, nine hundred eighty-seven million, seventy-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 53 55 60 66 90 99 106 110 132 159 165 180 198 212 220 265 318 330 396 477 495 530 583 636 660 795 954 990 1060 1166 1590 1749 1908 1980 2332 2385 2915 3180 3498 4770 5247 5830 6996 8745 9540 10494 11660 17490 20988 26235 34980 52470 104940 304813 609626 914439 1219252 1524065 1828878 2743317 3048130 3352943 3657756 4572195 5486634 6096260 6705886 9144390 10058829 10973268 13411772 13716585 16155089 16764715 18288780 20117658 27433170 30176487 32310178 33529430 40235316 48465267 50294145 54866340 60352974 64620356 67058860 80775445 96930534 100588290 120705948 145395801 150882435 161550890 177705979 193861068 201176580 242326335 290791602 301764870 323101780 355411958 484652670 533117937 581583204 603529740 710823916 726979005 888529895 969305340 1066235874 1453958010 1599353811 1777059790 2132471748 2665589685 2907916020 3198707622 3554119580 5331179370 6397415244 7996769055 10662358740 15993538110 31987076220