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332012141210233 = 1126157178777583
BaseRepresentation
bin100101101111101101001100…
…1101111001110101001111001
31121112120001100222022120200101
41023133122121233032221321
5322004141331122211413
63134044134432435401
7126635041240231621
oct11337323157165171
91545501328276611
10332012141210233
11968756161a1300
12312a22163a8b61
13113347c25820a3
145bdb68ad2b881
15285b5e747aedd
hex12df699bcea79

332012141210233 has 24 divisors (see below), whose sum is σ = 371571175783808. Its totient is φ = 296361263484000.

The previous prime is 332012141210227. The next prime is 332012141210257.

332012141210233 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-332012141210233 is a prime.

It is a super-2 number, since 2×3320121412102332 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332012141210263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35174241 + ... + 43603342.

Almost surely, 2332012141210233 is an apocalyptic number.

It is an amenable number.

332012141210233 is a deficient number, since it is larger than the sum of its proper divisors (39559034573575).

332012141210233 is a wasteful number, since it uses less digits than its factorization.

332012141210233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78778237 (or 78778226 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The spelling of 332012141210233 in words is "three hundred thirty-two trillion, twelve billion, one hundred forty-one million, two hundred ten thousand, two hundred thirty-three".

Divisors: 1 11 61 121 571 671 6281 7381 34831 69091 383141 4214551 78777583 866553413 4805432563 9532087543 44981999893 52859758193 494801998823 581457340123 2743901993473 5442821987053 30182921928203 332012141210233