Search a number
-
+
103220131020320 = 2551768355561607
BaseRepresentation
bin10111011110000011001111…
…001111100011111000100000
3111112110202012101221021120102
4113132003033033203320200
5102012124312020122240
61003310401254001532
730512260033200566
oct2736031717437040
9445422171837512
10103220131020320
112a986459021626
12b6b09050462a8
134579802854952
141b6bc49659a36
15bdeed4984815
hex5de0cf3e3e20

103220131020320 has 96 divisors (see below), whose sum is σ = 258580167689088. Its totient is φ = 38802447659008.

The previous prime is 103220131020283. The next prime is 103220131020379. The reversal of 103220131020320 is 23020131022301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103220131020292 and 103220131020301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25923044 + ... + 29638563.

It is an arithmetic number, because the mean of its divisors is an integer number (2693543413428).

Almost surely, 2103220131020320 is an apocalyptic number.

103220131020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103220131020320 is an abundant number, since it is smaller than the sum of its proper divisors (155360036668768).

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

103220131020320 is a wasteful number, since it uses less digits than its factorization.

103220131020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55562322 (or 55562314 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103220131020320 its reverse (23020131022301), we get a palindrome (126240262042621).

The spelling of 103220131020320 in words is "one hundred three trillion, two hundred twenty billion, one hundred thirty-one million, twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 683 1360 1366 2720 2732 3415 5464 6830 10928 11611 13660 21856 23222 27320 46444 54640 58055 92888 109280 116110 185776 232220 371552 464440 928880 1857760 55561607 111123214 222246428 277808035 444492856 555616070 888985712 944547319 1111232140 1777971424 1889094638 2222464280 3778189276 4444928560 4722736595 7556378552 8889857120 9445473190 15112757104 18890946380 30225514208 37781892760 37948577581 75563785520 75897155162 151127571040 151794310324 189742887905 303588620648 379485775810 607177241296 645125818877 758971551620 1214354482592 1290251637754 1517943103240 2580503275508 3035886206480 3225629094385 5161006551016 6071772412960 6451258188770 10322013102032 12902516377540 20644026204064 25805032755080 51610065510160 103220131020320