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332101242101233 = 11227710499943751
BaseRepresentation
bin100101110000010110101100…
…0100100001001110111110001
31121112212120100120100211010101
41023200231120210021313301
5322012121320434214413
63134153112054032401
7126644344241300263
oct11340553044116761
91545776316324111
10332101242101233
11968aa389339500
12312b7542048701
13113400220303b7
145c01b00661b33
15285daae904edd
hex12e0b58909df1

332101242101233 has 24 divisors (see below), whose sum is σ = 366390007704000. Its totient is φ = 300791320500000.

The previous prime is 332101242101231. The next prime is 332101242101311.

332101242101233 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 332101242101233 - 21 = 332101242101231 is a prime.

It is a super-2 number, since 2×3321012421012332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (332101242101231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351423108 + ... + 352366858.

It is an arithmetic number, because the mean of its divisors is an integer number (15266250321000).

Almost surely, 2332101242101233 is an apocalyptic number.

It is an amenable number.

332101242101233 is a deficient number, since it is larger than the sum of its proper divisors (34288765602767).

332101242101233 is a wasteful number, since it uses less digits than its factorization.

332101242101233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954549 (or 954538 counting only the distinct ones).

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

The spelling of 332101242101233 in words is "three hundred thirty-two trillion, one hundred one billion, two hundred forty-two million, one hundred one thousand, two hundred thirty-three".

Divisors: 1 11 121 277 3047 10499 33517 115489 943751 1270379 2908223 10381261 31990453 114193871 261419027 351894983 2875609297 9908441749 31631702267 108992859239 1198921451629 2744638364473 30191022009203 332101242101233