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20101013331 = 377378716661
BaseRepresentation
bin10010101110000111…
…010001111101010011
31220212212121021111020
4102232013101331103
5312131324411311
613122334250523
71311056536260
oct225607217523
956785537436
1020101013331
118585552913
123a8b956a43
131b845b4739
14d8989c267
157c9a70c06
hex4ae1d1f53

20101013331 has 32 divisors (see below), whose sum is σ = 31091025408. Its totient is φ = 11313872640.

The previous prime is 20101013329. The next prime is 20101013341. The reversal of 20101013331 is 13331010102.

It is not a de Polignac number, because 20101013331 - 21 = 20101013329 is a prime.

It is a super-2 number, since 2×201010133312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20101013331.

It is not an unprimeable number, because it can be changed into a prime (20101013321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198141 + ... + 1214801.

It is an arithmetic number, because the mean of its divisors is an integer number (971594544).

Almost surely, 220101013331 is an apocalyptic number.

20101013331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20101013331 is a deficient number, since it is larger than the sum of its proper divisors (10990012077).

20101013331 is a wasteful number, since it uses less digits than its factorization.

20101013331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17531.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 20101013331 its reverse (13331010102), we get a palindrome (33432023433).

The spelling of 20101013331 in words is "twenty billion, one hundred one million, thirteen thousand, three hundred thirty-one".

Divisors: 1 3 7 21 73 219 511 787 1533 2361 5509 16527 16661 49983 57451 116627 172353 349881 402157 1206471 1216253 3648759 8513771 13112207 25541313 39336621 91785449 275356347 957191111 2871573333 6700337777 20101013331