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31210420320 = 2532589243527
BaseRepresentation
bin11101000100010010…
…010011100001100000
32222120002220121220100
4131010102103201200
51002404331422240
622200551342400
72153265124032
oct350422234140
988502817810
1031210420320
1112266517802
126070381a00
132c35097541
1417210cbc52
15c2a021e30
hex744493860

31210420320 has 144 divisors (see below), whose sum is σ = 107702693280. Its totient is φ = 8229230592.

The previous prime is 31210420313. The next prime is 31210420333. The reversal of 31210420320 is 2302401213.

31210420320 is a `hidden beast` number, since 3 + 1 + 210 + 420 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 31210420293 and 31210420302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6397 + ... + 249923.

It is an arithmetic number, because the mean of its divisors is an integer number (747935370).

Almost surely, 231210420320 is an apocalyptic number.

31210420320 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 31210420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53851346640).

31210420320 is an abundant number, since it is smaller than the sum of its proper divisors (76492272960).

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

31210420320 is a wasteful number, since it uses less digits than its factorization.

31210420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243637 (or 243626 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31210420320 its reverse (2302401213), we get a palindrome (33512821533).

The spelling of 31210420320 in words is "thirty-one billion, two hundred ten million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 89 90 96 120 144 160 178 180 240 267 288 356 360 445 480 534 712 720 801 890 1068 1335 1424 1440 1602 1780 2136 2670 2848 3204 3560 4005 4272 5340 6408 7120 8010 8544 10680 12816 14240 16020 21360 25632 32040 42720 64080 128160 243527 487054 730581 974108 1217635 1461162 1948216 2191743 2435270 2922324 3652905 3896432 4383486 4870540 5844648 7305810 7792864 8766972 9741080 10958715 11689296 14611620 17533944 19482160 21673903 21917430 23378592 29223240 35067888 38964320 43347806 43834860 58446480 65021709 70135776 86695612 87669720 108369515 116892960 130043418 173391224 175339440 195065127 216739030 260086836 325108545 346782448 350678880 390130254 433478060 520173672 650217090 693564896 780260508 866956120 975325635 1040347344 1300434180 1560521016 1733912240 1950651270 2080694688 2600868360 3121042032 3467824480 3901302540 5201736720 6242084064 7802605080 10403473440 15605210160 31210420320