Search a number
-
+
10022302313322 = 231319173237116487
BaseRepresentation
bin1001000111010111111111…
…0001001110101101101010
31022111010022110222011012220
42101311333301032231222
52303201133343011242
633152103201014510
72053041665026035
oct221657761165552
938433273864186
1010022302313322
113214486414122
12115a480924436
13579139808220
142691210c601c
15125a82d8abec
hex91d7fc4eb6a

10022302313322 has 128 divisors (see below), whose sum is σ = 22864999127040. Its totient is φ = 2903192513280.

The previous prime is 10022302313279. The next prime is 10022302313347. The reversal of 10022302313322 is 22331320322001.

It is a junction number, because it is equal to n+sod(n) for n = 10022302313292 and 10022302313301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 607882963 + ... + 607899449.

It is an arithmetic number, because the mean of its divisors is an integer number (178632805680).

Almost surely, 210022302313322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022302313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11432499563520).

10022302313322 is an abundant number, since it is smaller than the sum of its proper divisors (12842696813718).

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

10022302313322 is a wasteful number, since it uses less digits than its factorization.

10022302313322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19068.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10022302313322 its reverse (22331320322001), we get a palindrome (32353622635323).

The spelling of 10022302313322 in words is "ten trillion, twenty-two billion, three hundred two million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 173 247 346 494 519 741 1038 1482 2249 2371 3287 4498 4742 6574 6747 7113 9861 13494 14226 16487 19722 30823 32974 42731 45049 49461 61646 85462 90098 92469 98922 128193 135147 184938 214331 256386 270294 313253 410183 428662 585637 626506 642993 820366 939759 1171274 1230549 1285986 1756911 1879518 2461098 2852251 3513822 4072289 5332379 5704502 7793477 8144578 8556753 10664758 12216867 15586954 15997137 17113506 23380431 24433734 31994274 37079263 39090677 46760862 54192769 74158526 78181354 101315201 108385538 111237789 117272031 162578307 202630402 222475578 234544062 303945603 325156614 508178801 607891206 704505997 742722863 1016357602 1409011994 1485445726 1524536403 2113517991 2228168589 3049072806 4227035982 4456337178 6762687121 9655397219 13525374242 19310794438 20288061363 28966191657 40576122726 57932383314 87914932573 128491055299 175829865146 256982110598 263744797719 385473165897 527489595438 770946331794 1670383718887 3340767437774 5011151156661 10022302313322