Search a number
-
+
13022021320 = 23571123183823
BaseRepresentation
bin11000010000010110…
…00100011011001000
31020121112020020000221
430020023010123020
5203132114140240
65552055035424
7640461232510
oct141013043310
936545206027
1013022021320
1155826563a0
12263506bb74
1312c6b12179
148b765c840
15513351a4a
hex3082c46c8

13022021320 has 128 divisors (see below), whose sum is σ = 38117744640. Its totient is φ = 3882320640.

The previous prime is 13022021291. The next prime is 13022021329. The reversal of 13022021320 is 2312022031.

It is a junction number, because it is equal to n+sod(n) for n = 13022021294 and 13022021303.

It is not an unprimeable number, because it can be changed into a prime (13022021329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21072 + ... + 162751.

It is an arithmetic number, because the mean of its divisors is an integer number (297794880).

Almost surely, 213022021320 is an apocalyptic number.

13022021320 is a gapful number since it is divisible by the number (10) 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 13022021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058872320).

13022021320 is an abundant number, since it is smaller than the sum of its proper divisors (25095723320).

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

13022021320 is a wasteful number, since it uses less digits than its factorization.

13022021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183875 (or 183871 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13022021320 its reverse (2312022031), we get a palindrome (15334043351).

The spelling of 13022021320 in words is "thirteen billion, twenty-two million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 23 28 35 40 44 46 55 56 70 77 88 92 110 115 140 154 161 184 220 230 253 280 308 322 385 440 460 506 616 644 770 805 920 1012 1265 1288 1540 1610 1771 2024 2530 3080 3220 3542 5060 6440 7084 8855 10120 14168 17710 35420 70840 183823 367646 735292 919115 1286761 1470584 1838230 2022053 2573522 3676460 4044106 4227929 5147044 6433805 7352920 8088212 8455858 10110265 10294088 12867610 14154371 16176424 16911716 20220530 21139645 25735220 28308742 29595503 33823432 40441060 42279290 46507219 51470440 56617484 59191006 70771855 80882120 84558580 93014438 113234968 118382012 141543710 147977515 169117160 186028876 232536095 236764024 283087420 295955030 325550533 372057752 465072190 566174840 591910060 651101066 930144380 1183820120 1302202132 1627752665 1860288760 2604404264 3255505330 6511010660 13022021320