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330122123201331 = 3322075539984279
BaseRepresentation
bin100101100001111101000101…
…1111000101100101100110011
31121021212100220100222202112000
41023003322023320230230303
5321232210102014420311
63130040002035305043
7126351351650230116
oct11303721370545463
91537770810882460
10330122123201331
119620700831023a
1231037a6714b183
13112284c8880876
145b73dd30d457d
152827379bda056
hex12c3e8be2cb33

330122123201331 has 16 divisors (see below), whose sum is σ = 489291411609600. Its totient is φ = 219981695710824.

The previous prime is 330122123201323. The next prime is 330122123201369. The reversal of 330122123201331 is 133102321221033.

330122123201331 is a `hidden beast` number, since 3 + 3 + 0 + 1 + 2 + 2 + 1 + 2 + 320 + 1 + 331 = 666.

It is not a de Polignac number, because 330122123201331 - 23 = 330122123201323 is a prime.

It is a super-2 number, since 2×3301221232013312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 330122123201295 and 330122123201304.

It is not an unprimeable number, because it can be changed into a prime (330122123201131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2769932551 + ... + 2770051728.

It is an arithmetic number, because the mean of its divisors is an integer number (30580713225600).

Almost surely, 2330122123201331 is an apocalyptic number.

330122123201331 is a deficient number, since it is larger than the sum of its proper divisors (159169288408269).

330122123201331 is a wasteful number, since it uses less digits than its factorization.

330122123201331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539986495 (or 5539986489 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 330122123201331 its reverse (133102321221033), we get a palindrome (463224444422364).

The spelling of 330122123201331 in words is "three hundred thirty trillion, one hundred twenty-two billion, one hundred twenty-three million, two hundred one thousand, three hundred thirty-one".

Divisors: 1 3 9 27 2207 6621 19863 59589 5539984279 16619952837 49859858511 149579575533 12226745303753 36680235911259 110040707733777 330122123201331