Search a number
-
+
10202221034320 = 245770125988947
BaseRepresentation
bin1001010001110110001111…
…0000101011101101010000
31100010022201022210011122011
42110131203300223231100
52314123122041044240
633410500255352304
72102041355645110
oct224354360535520
940108638704564
1010202221034320
113283812891177
121189313222694
135900b0662193
14273b0c1a5040
1512a5b338b6ea
hex94763c2bb50

10202221034320 has 80 divisors (see below), whose sum is σ = 27147431346048. Its totient is φ = 3492914342400.

The previous prime is 10202221034281. The next prime is 10202221034321. The reversal of 10202221034320 is 2343012220201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10202221034291 and 10202221034300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202221034321) 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, 12601914 + ... + 13387033.

Almost surely, 210202221034320 is an apocalyptic number.

10202221034320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202221034320 is an abundant number, since it is smaller than the sum of its proper divisors (16945210311728).

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

10202221034320 is a wasteful number, since it uses less digits than its factorization.

10202221034320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25989668 (or 25989662 counting only the distinct ones).

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

Adding to 10202221034320 its reverse (2343012220201), we get a palindrome (12545233254521).

The spelling of 10202221034320 in words is "ten trillion, two hundred two billion, two hundred twenty-one million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 701 1402 2804 3505 4907 5608 7010 9814 11216 14020 19628 24535 28040 39256 49070 56080 78512 98140 196280 392560 25988947 51977894 103955788 129944735 181922629 207911576 259889470 363845258 415823152 519778940 727690516 909613145 1039557880 1455381032 1819226290 2079115760 2910762064 3638452580 7276905160 14553810320 18218251847 36436503694 72873007388 91091259235 127527762929 145746014776 182182518470 255055525858 291492029552 364365036940 510111051716 637638814645 728730073880 1020222103432 1275277629290 1457460147760 2040444206864 2550555258580 5101110517160 10202221034320