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331010100001009 = 111310253225763771
BaseRepresentation
bin100101101000011010100101…
…1011011010111100011110001
31121102000020220222222222112201
41023100311023123113203301
5321341232141100013014
63131555535104023201
7126502455565415362
oct11320651333274361
91542006828888481
10331010100001009
1196519660042740
123115bb84901b01
1311291170441150
145ba4d8d77db69
1528404eb911e74
hex12d0d4b6d78f1

331010100001009 has 16 divisors (see below), whose sum is σ = 388916928638784. Its totient is φ = 277743620404800.

The previous prime is 331010100000977. The next prime is 331010100001037. The reversal of 331010100001009 is 900100001010133.

It is a happy number.

It is not a de Polignac number, because 331010100001009 - 25 = 331010100000977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (331010100001309) 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, 111415707 + ... + 114348064.

It is an arithmetic number, because the mean of its divisors is an integer number (24307308039924).

Almost surely, 2331010100001009 is an apocalyptic number.

It is an amenable number.

331010100001009 is a deficient number, since it is larger than the sum of its proper divisors (57906828637775).

331010100001009 is a wasteful number, since it uses less digits than its factorization.

331010100001009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225774048.

The product of its (nonzero) digits is 81, while the sum is 19.

The spelling of 331010100001009 in words is "three hundred thirty-one trillion, ten billion, one hundred million, one thousand, nine".

Divisors: 1 11 13 143 10253 112783 133289 1466179 225763771 2483401481 2934929023 32284219253 2314755944063 25462315384693 30091827272819 331010100001009