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20101311020331 = 334575897276257
BaseRepresentation
bin1001001001000001100111…
…00000001011110100101011
32122011122222221000120201000
410210200303200023310223
510113314441110122311
6110430225332530043
74143162140340042
oct444406340136453
978148887016630
1020101311020331
11644aa11038112
122307928480923
13b2a7125b9548
144d6ca146b559
1524cd3423b056
hex12483380bd2b

20101311020331 has 32 divisors (see below), whose sum is σ = 29850052610880. Its totient is φ = 13369234526208.

The previous prime is 20101311020279. The next prime is 20101311020333. The reversal of 20101311020331 is 13302011310102.

20101311020331 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 1 + 311 + 0 + 20 + 331 = 666.

It is not a de Polignac number, because 20101311020331 - 223 = 20101302631723 is a prime.

It is a super-2 number, since 2×201013110203312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20101311020333) 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, 72624955 + ... + 72901211.

It is an arithmetic number, because the mean of its divisors is an integer number (932814144090).

Almost surely, 220101311020331 is an apocalyptic number.

20101311020331 is a deficient number, since it is larger than the sum of its proper divisors (9748741590549).

20101311020331 is a wasteful number, since it uses less digits than its factorization.

20101311020331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282620 (or 282614 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20101311020331 its reverse (13302011310102), we get a palindrome (33403322330433).

The spelling of 20101311020331 in words is "twenty trillion, one hundred one billion, three hundred eleven million, twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 27 457 1371 4113 5897 12339 17691 53073 159219 276257 828771 2486313 2694929 7458939 8084787 24254361 72763083 126249449 378748347 1136245041 1629087529 3408735123 4887262587 14661787761 43985363283 744493000753 2233479002259 6700437006777 20101311020331