Search a number
-
+
332033030010121 = 11347761367331121
BaseRepresentation
bin100101101111110110111011…
…0110011101011010100001001
31121112122001021202021120011111
41023133231312303223110021
5322010012121140310441
63134101511312130321
7126636411004136056
oct11337556663532411
91545561252246144
10332033030010121
11968834653a2890
12312a6285b369a1
13113367711314cb
145bdc6ad29602d
15285be1b260081
hex12dfb76ceb509

332033030010121 has 32 divisors (see below), whose sum is σ = 363849775825536. Its totient is φ = 300491334144000.

The previous prime is 332033030010103. The next prime is 332033030010197. The reversal of 332033030010121 is 121010030330233.

It is a cyclic number.

It is not a de Polignac number, because 332033030010121 - 25 = 332033030010089 is a prime.

It is a super-2 number, since 2×3320330300101212 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332033030010092 and 332033030010101.

It is not an unprimeable number, because it can be changed into a prime (332033030010821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10669083441 + ... + 10669114561.

It is an arithmetic number, because the mean of its divisors is an integer number (11370305494548).

Almost surely, 2332033030010121 is an apocalyptic number.

It is an amenable number.

332033030010121 is a deficient number, since it is larger than the sum of its proper divisors (31816745815415).

332033030010121 is a wasteful number, since it uses less digits than its factorization.

332033030010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35913.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 332033030010121 its reverse (121010030330233), we get a palindrome (453043060340354).

The spelling of 332033030010121 in words is "three hundred thirty-two trillion, thirty-three billion, thirty million, ten thousand, one hundred twenty-one".

Divisors: 1 11 347 761 3673 3817 8371 31121 40403 264067 342331 1274531 2795153 2904737 10798987 14019841 23683081 30746683 114307433 118788857 260513891 969918091 1257381763 8218029107 10669099001 39664679251 86987956513 90398320177 436311471761 956867521643 30184820910011 332033030010121