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332202132011133 = 3346771263064349
BaseRepresentation
bin100101110001000101101011…
…0000100100111100001111101
31121120020012202202112021021000
41023202023112010213201331
5322020244431243324013
63134311315211000513
7126654545342341266
oct11342132604474175
91546205682467230
10332202132011133
119693915103502a
1231312bb9a39139
13113496b0012937
145c0695197396d
152861516d26973
hex12e22d612787d

332202132011133 has 16 divisors (see below), whose sum is σ = 492161831128000. Its totient is φ = 221463352007280.

The previous prime is 332202132011081. The next prime is 332202132011171. The reversal of 332202132011133 is 331110231202233.

332202132011133 is a `hidden beast` number, since 3 + 3 + 2 + 202 + 1 + 320 + 1 + 1 + 133 = 666.

It is not a de Polignac number, because 332202132011133 - 29 = 332202132010621 is a prime.

It is a super-2 number, since 2×3322021320111332 (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 Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 332202132011097 and 332202132011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332202132011033) 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, 130269358 + ... + 132794991.

It is an arithmetic number, because the mean of its divisors is an integer number (30760114445500).

Almost surely, 2332202132011133 is an apocalyptic number.

It is an amenable number.

332202132011133 is a deficient number, since it is larger than the sum of its proper divisors (159959699116867).

332202132011133 is a wasteful number, since it uses less digits than its factorization.

332202132011133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263111129 (or 263111123 counting only the distinct ones).

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

Adding to 332202132011133 its reverse (331110231202233), we get a palindrome (663312363213366).

The spelling of 332202132011133 in words is "three hundred thirty-two trillion, two hundred two billion, one hundred thirty-two million, eleven thousand, one hundred thirty-three".

Divisors: 1 3 9 27 46771 140313 420939 1262817 263064349 789193047 2367579141 7102737423 12303782667079 36911348001237 110734044003711 332202132011133