Search a number
-
+
10322123331330 = 2325114690259237
BaseRepresentation
bin1001011000110100111001…
…1111101001011100000010
31100112210012112002221211100
42112031032133221130002
52323104202033100310
633541530141555230
72113514560443126
oct226151637513402
940483175087740
1010322123331330
11331a651583618
1211a85b6275b16
1359b4ab52b415
14279844557586
1512d77e992ec0
hex9634e7e9702

10322123331330 has 24 divisors (see below), whose sum is σ = 26837520661692. Its totient is φ = 2752566221664.

The previous prime is 10322123331313. The next prime is 10322123331371. The reversal of 10322123331330 is 3313332122301.

10322123331330 is a `hidden beast` number, since 1 + 0 + 322 + 1 + 2 + 3 + 3 + 3 + 1 + 330 = 666.

10322123331330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10161552422961 + 160570908369 = 3187719^2 + 400713^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10322123331294 and 10322123331303.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57345129529 + ... + 57345129708.

Almost surely, 210322123331330 is an apocalyptic number.

10322123331330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10322123331330 is an abundant number, since it is smaller than the sum of its proper divisors (16515397330362).

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

10322123331330 is a wasteful number, since it uses less digits than its factorization.

10322123331330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114690259250 (or 114690259247 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 10322123331330 its reverse (3313332122301), we get a palindrome (13635455453631).

The spelling of 10322123331330 in words is "ten trillion, three hundred twenty-two billion, one hundred twenty-three million, three hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 114690259237 229380518474 344070777711 573451296185 688141555422 1032212333133 1146902592370 1720353888555 2064424666266 3440707777110 5161061665665 10322123331330