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10221202012014 = 2337731718321557
BaseRepresentation
bin1001010010111100111100…
…0111010111011101101110
31100012010201010211202002000
42110233033013113131232
52314431010203341024
633423315543513130
72103312625413360
oct224571707273556
940163633752060
1010221202012014
1132908730846a4
121190b2ba587a6
13591b16b9c526
142749ccdcad30
1512ad24919cc9
hex94bcf1d776e

10221202012014 has 128 divisors (see below), whose sum is σ = 26316957818880. Its totient is φ = 2880037492992.

The previous prime is 10221202012013. The next prime is 10221202012061. The reversal of 10221202012014 is 41021020212201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221202012013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 474136924 + ... + 474158480.

It is an arithmetic number, because the mean of its divisors is an integer number (205601232960).

Almost surely, 210221202012014 is an apocalyptic number.

10221202012014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10221202012014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13158478909440).

10221202012014 is an abundant number, since it is smaller than the sum of its proper divisors (16095755806866).

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

10221202012014 is a wasteful number, since it uses less digits than its factorization.

10221202012014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38831 (or 38825 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10221202012014 its reverse (41021020212201), we get a palindrome (51242222224215).

The spelling of 10221202012014 in words is "ten trillion, two hundred twenty-one billion, two hundred two million, twelve thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 146 189 219 378 438 511 657 1022 1314 1533 1971 3066 3942 4599 9198 13797 17183 21557 27594 34366 43114 51549 64671 103098 120281 129342 150899 154647 194013 240562 301798 309294 360843 388026 452697 463941 582039 721686 905394 927882 1082529 1164078 1254359 1358091 1573661 2165058 2508718 2716182 3147322 3247587 3763077 4074273 4720983 6495174 7526154 8148546 8780513 9441966 11015627 11289231 14162949 17561026 22031254 22578462 26341539 28325898 33046881 33867693 42488847 52683078 66093762 67735386 79024617 84977694 99140643 158049234 198281286 237073851 297421929 370413931 474147702 594843858 740827862 1111241793 2222483586 2592897517 3333725379 5185795034 6667450758 7778692551 10001176137 15557385102 20002352274 23336077653 27040216963 46672155306 54080433926 70008232959 81120650889 140016465918 162241301778 189281518741 243361952667 378563037482 486723905334 567844556223 730085858001 1135689112446 1460171716002 1703533668669 3407067337338 5110601006007 10221202012014