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1030120332021 = 321137927454501
BaseRepresentation
bin11101111110101111111…
…01001101101011110101
310122110220212010211100200
432333113331031223311
5113334141301111041
62105121501431113
7134265225231054
oct16772775155365
93573825124320
101030120332021
11367965088180
1214778926b499
13761a8572a01
1437c0285639b
151bbe0c0e1b6
hexefd7f4daf5

1030120332021 has 24 divisors (see below), whose sum is σ = 1627502878560. Its totient is φ = 622668060000.

The previous prime is 1030120331951. The next prime is 1030120332023. The reversal of 1030120332021 is 1202330210301.

1030120332021 is a `hidden beast` number, since 1 + 0 + 301 + 20 + 3 + 320 + 21 = 666.

It is not a de Polignac number, because 1030120332021 - 27 = 1030120331893 is a prime.

It is a super-3 number, since 3×10301203320213 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1030120331985 and 1030120332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030120332023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13689730 + ... + 13764771.

It is an arithmetic number, because the mean of its divisors is an integer number (67812619940).

Almost surely, 21030120332021 is an apocalyptic number.

1030120332021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1030120332021 is a deficient number, since it is larger than the sum of its proper divisors (597382546539).

1030120332021 is a wasteful number, since it uses less digits than its factorization.

1030120332021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27454897 (or 27454894 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1030120332021 its reverse (1202330210301), we get a palindrome (2232450542322).

The spelling of 1030120332021 in words is "one trillion, thirty billion, one hundred twenty million, three hundred thirty-two thousand, twenty-one".

Divisors: 1 3 9 11 33 99 379 1137 3411 4169 12507 37521 27454501 82363503 247090509 301999511 905998533 2717995599 10405255879 31215767637 93647302911 114457814669 343373444007 1030120332021