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210020132103012 = 2232711550113772921
BaseRepresentation
bin101111110000001100011111…
…010111101010001101100100
31000112121201200002222002220200
4233300030133113222031210
5210011432212304244022
62022401530003230500
762144311442016030
oct5760143727521544
91015551602862820
10210020132103012
1160a120463a4330
121b67b385378430
139025a76295a9a
1439c10587c51c0
15194318b644bac
hexbf031f5ea364

210020132103012 has 144 divisors (see below), whose sum is σ = 662001996749184. Its totient is φ = 54540763200000.

The previous prime is 210020132102863. The next prime is 210020132103031. The reversal of 210020132103012 is 210301231020012.

210020132103012 is a `hidden beast` number, since 2 + 100 + 201 + 321 + 0 + 30 + 12 = 666.

It is a super-2 number, since 2×2100201321030122 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8362312 + ... + 22135232.

It is an arithmetic number, because the mean of its divisors is an integer number (4597236088536).

Almost surely, 2210020132103012 is an apocalyptic number.

210020132103012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210020132103012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331000998374592).

210020132103012 is an abundant number, since it is smaller than the sum of its proper divisors (451981864646172).

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

210020132103012 is a wasteful number, since it uses less digits than its factorization.

210020132103012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13778450 (or 13778445 counting only the distinct ones).

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

Adding to 210020132103012 its reverse (210301231020012), we get a palindrome (420321363123024).

The spelling of 210020132103012 in words is "two hundred ten trillion, twenty billion, one hundred thirty-two million, one hundred three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 5501 11002 16503 22004 33006 38507 49509 60511 66012 77014 99018 115521 121022 154028 181533 198036 231042 242044 346563 363066 423577 462084 544599 693126 726132 847154 1089198 1270731 1386252 1694308 2178396 2541462 3812193 5082924 7624386 13772921 15248772 27545842 41318763 55091684 82637526 96410447 123956289 151502131 165275052 192820894 247912578 289231341 303004262 385641788 454506393 495825156 578462682 606008524 867694023 909012786 1060514917 1156925364 1363519179 1735388046 1818025572 2121029834 2727038358 3181544751 3470776092 4242059668 5454076716 6363089502 9544634253 12726179004 19089268506 38178537012 75764838421 151529676842 227294515263 303059353684 454589030526 530353868947 681883545789 833413222631 909178061052 1060707737894 1363767091578 1591061606841 1666826445262 2121415475788 2500239667893 2727534183156 3182123213682 3333652890524 4773184820523 5000479335786 5833892558417 6364246427364 7500719003679 9546369641046 10000958671572 11667785116834 15001438007358 17501677675251 19092739282092 23335570233668 30002876014716 35003355350502 52505033025753 70006710701004 105010066051506 210020132103012