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31211011320 = 2335113220369
BaseRepresentation
bin11101000100010100…
…100011110011111000
32222120011000122121020
4131010110203303320
51002410004330240
622201012142440
72153303135046
oct350424436370
988504018536
1031211011320
1112266890835
126070607a20
132c35243548
141721203396
15c2a0dc0d0
hex744523cf8

31211011320 has 96 divisors (see below), whose sum is σ = 94473615600. Its totient is φ = 8248877056.

The previous prime is 31211011319. The next prime is 31211011343. The reversal of 31211011320 is 2311011213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31211011320.

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 23 ways as a sum of consecutive naturals, for example, 1522096 + ... + 1542464.

Almost surely, 231211011320 is an apocalyptic number.

31211011320 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 31211011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47236807800).

31211011320 is an abundant number, since it is smaller than the sum of its proper divisors (63262604280).

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

31211011320 is a wasteful number, since it uses less digits than its factorization.

31211011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20609 (or 20492 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31211011320 its reverse (2311011213), we get a palindrome (33522022533).

The spelling of 31211011320 in words is "thirty-one billion, two hundred eleven million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 12769 13560 20369 25538 38307 40738 51076 61107 63845 76614 81476 101845 102152 122214 127690 153228 162952 191535 203690 244428 255380 305535 306456 383070 407380 488856 510760 611070 766140 814760 1222140 1532280 2301697 2444280 4603394 6905091 9206788 11508485 13810182 18413576 23016970 27620364 34525455 46033940 55240728 69050910 92067880 138101820 260091761 276203640 520183522 780275283 1040367044 1300458805 1560550566 2080734088 2600917610 3121101132 3901376415 5201835220 6242202264 7802752830 10403670440 15605505660 31211011320