Search a number
-
+
10031122322320 = 2451117670529567
BaseRepresentation
bin1001000111111000110101…
…1110111001001110010000
31022111222002011101000222211
42101332031132321032100
52303322214303303240
633200122312241504
72053503363620011
oct221761536711620
938458064330884
1010031122322320
1132181a2049460
1211601226a0294
13579c13bb8768
1426971a647008
15125dec361bea
hex91f8d7b9390

10031122322320 has 80 divisors (see below), whose sum is σ = 26939195923968. Its totient is φ = 3433111377920.

The previous prime is 10031122322297. The next prime is 10031122322323. The reversal of 10031122322320 is 2322322113001.

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

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10031122322291 and 10031122322300.

It is not an unprimeable number, because it can be changed into a prime (10031122322323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335249824 + ... + 335279743.

Almost surely, 210031122322320 is an apocalyptic number.

10031122322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031122322320 is an abundant number, since it is smaller than the sum of its proper divisors (16908073601648).

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

10031122322320 is a wasteful number, since it uses less digits than its factorization.

10031122322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670529608 (or 670529602 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10031122322320 its reverse (2322322113001), we get a palindrome (12353444435321).

The spelling of 10031122322320 in words is "ten trillion, thirty-one billion, one hundred twenty-two million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 670529567 1341059134 2682118268 3352647835 5364236536 6705295670 7375825237 10728473072 11399002639 13410591340 14751650474 22798005278 26821182680 29503300948 36879126185 45596010556 53642365360 56995013195 59006601896 73758252370 91192021112 113990026390 118013203792 125389029029 147516504740 182384042224 227980052780 250778058058 295033009480 455960105560 501556116116 590066018960 626945145145 911920211120 1003112232232 1253890290290 2006224464464 2507780580580 5015561161160 10031122322320