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3132130220320 = 255314671352201
BaseRepresentation
bin101101100101000001100…
…000100101100100100000
3102002102120112120220222211
4231211001200211210200
5402304100314022240
610354514124411504
7442201051412233
oct55450140454440
912072515526884
103132130220320
11aa8368944972
124270400a6b94
13199487b4391a
14ab84b27741a
15567195ddbea
hex2d941825920

3132130220320 has 96 divisors (see below), whose sum is σ = 7654718163456. Its totient is φ = 1209840384000.

The previous prime is 3132130220291. The next prime is 3132130220327. The reversal of 3132130220320 is 230220312313.

It is a junction number, because it is equal to n+sod(n) for n = 3132130220291 and 3132130220300.

It is not an unprimeable number, because it can be changed into a prime (3132130220327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1640220 + ... + 2992420.

It is an arithmetic number, because the mean of its divisors is an integer number (79736647536).

Almost surely, 23132130220320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132130220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827359081728).

3132130220320 is an abundant number, since it is smaller than the sum of its proper divisors (4522587943136).

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

3132130220320 is a wasteful number, since it uses less digits than its factorization.

3132130220320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352714 (or 1352706 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 3132130220320 its reverse (230220312313), we get a palindrome (3362350532633).

The spelling of 3132130220320 in words is "three trillion, one hundred thirty-two billion, one hundred thirty million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 467 496 620 934 992 1240 1868 2335 2480 3736 4670 4960 7472 9340 14477 14944 18680 28954 37360 57908 72385 74720 115816 144770 231632 289540 463264 579080 1158160 1352201 2316320 2704402 5408804 6761005 10817608 13522010 21635216 27044020 41918231 43270432 54088040 83836462 108176080 167672924 209591155 216352160 335345848 419182310 631477867 670691696 838364620 1262955734 1341383392 1676729240 2525911468 3157389335 3353458480 5051822936 6314778670 6706916960 10103645872 12629557340 19575813877 20207291744 25259114680 39151627754 50518229360 78303255508 97879069385 101036458720 156606511016 195758138770 313213022032 391516277540 626426044064 783032555080 1566065110160 3132130220320