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1012331022021 = 32111091371634201
BaseRepresentation
bin11101011101100111010…
…00011000011011000101
310120210000002102020200100
432232303220120123011
5113041223220201041
62053020343034313
7133065335465364
oct16566350303305
93523002366610
101012331022021
1136036651a290
1214424373b999
1374601ba0387
1436dd5dd17db
151b4ee0c26b6
hexebb3a186c5

1012331022021 has 96 divisors (see below), whose sum is σ = 1631910234240. Its totient is φ = 599622912000.

The previous prime is 1012331022011. The next prime is 1012331022047. The reversal of 1012331022021 is 1202201332101.

1012331022021 is a `hidden beast` number, since 10 + 123 + 310 + 220 + 2 + 1 = 666.

It is not a de Polignac number, because 1012331022021 - 29 = 1012331021509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012331021985 and 1012331022003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012331022011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240971721 + ... + 240975921.

It is an arithmetic number, because the mean of its divisors is an integer number (16999064940).

Almost surely, 21012331022021 is an apocalyptic number.

1012331022021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012331022021 is a deficient number, since it is larger than the sum of its proper divisors (619579212219).

1012331022021 is a wasteful number, since it uses less digits than its factorization.

1012331022021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1012331022021 its reverse (1202201332101), we get a palindrome (2214532354122).

The spelling of 1012331022021 in words is "one trillion, twelve billion, three hundred thirty-one million, twenty-two thousand, twenty-one".

Divisors: 1 3 9 11 33 99 109 137 163 327 411 489 981 1199 1233 1467 1507 1793 3597 4201 4521 5379 10791 12603 13563 14933 16137 17767 22331 37809 44799 46211 53301 66993 134397 138633 159903 164263 195437 200979 245641 415899 457909 492789 575537 586311 684763 736923 1373727 1478367 1726611 1758933 2054289 2210769 2434079 4121181 5036999 5179833 6162867 6330907 7302237 7532393 15110997 18992721 21906711 22597179 26774869 45332991 56978163 62733533 67791537 74639167 80324607 93812531 188200599 223917501 240973821 281437593 564601797 671752503 690068863 821030837 844312779 1031937841 2070206589 2463092511 3095813523 6210619767 7389277533 9287440569 10225565879 30676697637 92030092911 112481224669 337443674007 1012331022021