Search a number
-
+
103421420320 = 2551761623321
BaseRepresentation
bin110000001010001100…
…1011010001100100000
3100212221121122111120211
41200110121122030200
53143301340422240
6115302223543504
710320610365601
oct1402431321440
9325847574524
10103421420320
113a9517718a9
121806375ab94
1399a25c52ca
145011605da8
152a547c3bea
hex181465a320

103421420320 has 96 divisors (see below), whose sum is σ = 262947139056. Its totient is φ = 38296780800.

The previous prime is 103421420299. The next prime is 103421420357. The reversal of 103421420320 is 23024124301.

It can be written as a sum of positive squares in 8 ways, for example, as 7199861904 + 96221558416 = 84852^2 + 310196^2 .

It is a super-2 number, since 2×1034214203202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103421420291 and 103421420300.

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 15 ways as a sum of consecutive naturals, for example, 145741 + ... + 477580.

Almost surely, 2103421420320 is an apocalyptic number.

103421420320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103421420320 is an abundant number, since it is smaller than the sum of its proper divisors (159525718736).

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

103421420320 is a wasteful number, since it uses less digits than its factorization.

103421420320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623414 (or 623406 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 103421420320 its reverse (23024124301), we get a palindrome (126445544621).

The spelling of 103421420320 in words is "one hundred three billion, four hundred twenty-one million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 61 68 80 85 122 136 160 170 244 272 305 340 488 544 610 680 976 1037 1220 1360 1952 2074 2440 2720 4148 4880 5185 8296 9760 10370 16592 20740 33184 41480 82960 165920 623321 1246642 2493284 3116605 4986568 6233210 9973136 10596457 12466420 19946272 21192914 24932840 38022581 42385828 49865680 52982285 76045162 84771656 99731360 105964570 152090324 169543312 190112905 211929140 304180648 339086624 380225810 423858280 608361296 646383877 760451620 847716560 1216722592 1292767754 1520903240 1695433120 2585535508 3041806480 3231919385 5171071016 6083612960 6463838770 10342142032 12927677540 20684284064 25855355080 51710710160 103421420320