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31221541022406 = 23723373112808763
BaseRepresentation
bin1110001100101010101001…
…10111001010101011000110
311002112202020212122012001020
413012111110313022223012
513043013204000204111
6150222551122412010
76401452614640650
oct706252467125306
9132482225565036
1031221541022406
119a47a87a660a9
123602b3ab01006
131456242757b57
1479d1b86db6d0
15392225b7e906
hex1c6554dcaac6

31221541022406 has 128 divisors (see below), whose sum is σ = 76724826587136. Its totient is φ = 8275286954880.

The previous prime is 31221541022393. The next prime is 31221541022417. The reversal of 31221541022406 is 60422014512213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9711381 + ... + 12520143.

It is an arithmetic number, because the mean of its divisors is an integer number (599412707712).

Almost surely, 231221541022406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31221541022406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38362413293568).

31221541022406 is an abundant number, since it is smaller than the sum of its proper divisors (45503285564730).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31221541022406 is a wasteful number, since it uses less digits than its factorization.

31221541022406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809146.

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 31221541022406 its reverse (60422014512213), we get a palindrome (91643555534619).

The spelling of 31221541022406 in words is "thirty-one trillion, two hundred twenty-one billion, five hundred forty-one million, twenty-two thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 23 37 42 46 69 74 111 138 161 222 259 311 322 483 518 622 777 851 933 966 1554 1702 1866 2177 2553 4354 5106 5957 6531 7153 11507 11914 13062 14306 17871 21459 23014 34521 35742 42918 50071 69042 80549 100142 150213 161098 241647 264661 300426 483294 529322 793983 1587966 1852627 2808763 3705254 5557881 5617526 8426289 11115762 16852578 19661341 39322682 58984023 64601549 103924231 117968046 129203098 193804647 207848462 311772693 387609294 452210843 623545386 727469617 873525293 904421686 1356632529 1454939234 1747050586 2182408851 2390257313 2620575879 2713265058 4364817702 4780514626 5241151758 6114677051 7170771939 12229354102 14341543878 16731801191 18344031153 20091081739 32320435841 33463602382 36688062306 40182163478 50195403573 60273245217 64640871682 96961307523 100390807146 120546490434 140637572173 193922615046 226243050887 281275144346 421912716519 452486101774 678729152661 743370024343 843825433038 1357458305322 1486740048686 2230110073029 4460220146058 5203590170401 10407180340802 15610770511203 31221541022406