Search a number
-
+
20303132322 = 23112371634637
BaseRepresentation
bin10010111010001010…
…010011011010100010
31221101221220222121210
4102322022103122202
5313040100213242
613154354330550
71316062530414
oct227212233242
957357828553
1020303132322
118679652900
123b27589a56
131bb7431385
14da86729b4
157dc697d9c
hex4ba2936a2

20303132322 has 96 divisors (see below), whose sum is σ = 46130809536. Its totient is φ = 5948173440.

The previous prime is 20303132303. The next prime is 20303132323. The reversal of 20303132322 is 22323130302.

It is a super-2 number, since 2×203031323222 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20303132323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4376188 + ... + 4380824.

It is an arithmetic number, because the mean of its divisors is an integer number (480529266).

Almost surely, 220303132322 is an apocalyptic number.

20303132322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20303132322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23065404768).

20303132322 is an abundant number, since it is smaller than the sum of its proper divisors (25827677214).

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

20303132322 is a wasteful number, since it uses less digits than its factorization.

20303132322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864 (or 4853 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 20303132322 its reverse (22323130302), we get a palindrome (42626262624).

The spelling of 20303132322 in words is "twenty billion, three hundred three million, one hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 163 222 242 326 363 407 489 726 814 978 1221 1793 2442 3586 4477 4637 5379 6031 8954 9274 10758 12062 13431 13911 18093 19723 26862 27822 36186 39446 51007 59169 66341 102014 118338 132682 153021 171569 199023 306042 343138 398046 514707 561077 729751 755831 1029414 1122154 1459502 1511662 1683231 1887259 2189253 2267493 3366462 3774518 4378506 4534986 5661777 8314141 11323554 16628282 20759849 24942423 27965747 41519698 49884846 55931494 62279547 83897241 91455551 124559094 167794482 182911102 274366653 307623217 548733306 615246434 922869651 1845739302 3383855387 6767710774 10151566161 20303132322