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31331210130 = 23351130413469
BaseRepresentation
bin11101001011011111…
…000101001110010010
32222212112012101101000
4131023133011032102
51003131242211010
622220544322430
72156262614643
oct351337051622
988775171330
1031331210130
11123187189a0
1260a4913416
132c54109abc
1417331716ca
15c359317c0
hex74b7c5392

31331210130 has 128 divisors (see below), whose sum is σ = 91201593600. Its totient is φ = 7590758400.

The previous prime is 31331210117. The next prime is 31331210143. The reversal of 31331210130 is 3101213313.

It is a happy number.

31331210130 is a `hidden beast` number, since 313 + 312 + 10 + 1 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (31331210117) and next prime (31331210143).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9030036 + ... + 9033504.

It is an arithmetic number, because the mean of its divisors is an integer number (712512450).

Almost surely, 231331210130 is an apocalyptic number.

31331210130 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 31331210130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45600796800).

31331210130 is an abundant number, since it is smaller than the sum of its proper divisors (59870383470).

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

31331210130 is a wasteful number, since it uses less digits than its factorization.

31331210130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6537 (or 6531 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31331210130 its reverse (3101213313), we get a palindrome (34432423443).

The spelling of 31331210130 in words is "thirty-one billion, three hundred thirty-one million, two hundred ten thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 3041 3469 6082 6938 9123 10407 15205 17345 18246 20814 27369 30410 31221 33451 34690 38159 45615 52035 54738 62442 66902 76318 82107 91230 93663 100353 104070 114477 136845 156105 164214 167255 187326 190795 200706 228954 273690 301059 312210 334510 343431 381590 410535 468315 501765 572385 602118 686862 821070 903177 936630 1003530 1030293 1144770 1505295 1717155 1806354 2060586 3010590 3434310 4515885 5151465 9031770 10302930 10549229 21098458 31647687 52746145 63295374 94943061 105492290 116041519 158238435 189886122 232083038 284829183 316476870 348124557 474715305 569658366 580207595 696249114 949430610 1044373671 1160415190 1424145915 1740622785 2088747342 2848291830 3133121013 3481245570 5221868355 6266242026 10443736710 15665605065 31331210130