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1000330300229 = 131711340056473
BaseRepresentation
bin11101000111010000101…
…01010000101101000101
310112122000201221102012212
432203220111100231011
5112342134024101404
62043313445553205
7132162055154321
oct16435025205505
93478021842185
101000330300229
11356268415397
12141a54715805
137343b845170
14365b8266981
151b04a75d06e
hexe8e8550b45

1000330300229 has 16 divisors (see below), whose sum is σ = 1150742385072. Its totient is φ = 861374373888.

The previous prime is 1000330300159. The next prime is 1000330300231. The reversal of 1000330300229 is 9220030330001.

It can be written as a sum of positive squares in 8 ways, for example, as 99226260004 + 901104040225 = 315002^2 + 949265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1000330300229 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000330300429) 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, 20003264 + ... + 20053209.

It is an arithmetic number, because the mean of its divisors is an integer number (71921399067).

Almost surely, 21000330300229 is an apocalyptic number.

It is an amenable number.

1000330300229 is a deficient number, since it is larger than the sum of its proper divisors (150412084843).

1000330300229 is a wasteful number, since it uses less digits than its factorization.

1000330300229 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40056616.

The product of its (nonzero) digits is 972, while the sum is 23.

The spelling of 1000330300229 in words is "one trillion, three hundred thirty million, three hundred thousand, two hundred twenty-nine".

Divisors: 1 13 17 113 221 1469 1921 24973 40056473 520734149 680960041 4526381449 8852480533 58842958837 76948484633 1000330300229