Search a number
-
+
1010304422320 = 24516377477333
BaseRepresentation
bin11101011001110101101…
…01100001000110110000
310120120202212000022112011
432230322311201012300
5113023100413003240
62052043310012304
7132664166616424
oct16547265410660
93516685008464
101010304422320
1135a5165649a6
12143978aa7094
137436b07195b
1436c82bb0b84
151b4312086ea
hexeb3ad611b0

1010304422320 has 40 divisors (see below), whose sum is σ = 2363368596336. Its totient is φ = 401642489088.

The previous prime is 1010304422293. The next prime is 1010304422327. The reversal of 1010304422320 is 232244030101.

1010304422320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×10103044223203 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010304422291 and 1010304422300.

It is not an unprimeable number, because it can be changed into a prime (1010304422327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38725627 + ... + 38751706.

Almost surely, 21010304422320 is an apocalyptic number.

1010304422320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010304422320 is an abundant number, since it is smaller than the sum of its proper divisors (1353064174016).

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

1010304422320 is a wasteful number, since it uses less digits than its factorization.

1010304422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77477509 (or 77477503 counting only the distinct ones).

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

Adding to 1010304422320 its reverse (232244030101), we get a palindrome (1242548452421).

The spelling of 1010304422320 in words is "one trillion, ten billion, three hundred four million, four hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1630 2608 3260 6520 13040 77477333 154954666 309909332 387386665 619818664 774773330 1239637328 1549546660 3099093320 6198186640 12628805279 25257610558 50515221116 63144026395 101030442232 126288052790 202060884464 252576105580 505152211160 1010304422320