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201021202011231 = 32719372974912583
BaseRepresentation
bin101101101101001111100101…
…010101101001010001011111
3222100202102212012101020201200
4231231033211111221101133
5202322012410203324411
61551311510524410543
760225205532223420
oct5555174525512137
9870672765336650
10201021202011231
1159062681a18078
121a6673099a6a53
1388222aac7c0a4
14378d699c47647
151839051d57e56
hexb6d3e556945f

201021202011231 has 144 divisors (see below), whose sum is σ = 359071352640000. Its totient is φ = 105863057277696.

The previous prime is 201021202011151. The next prime is 201021202011251. The reversal of 201021202011231 is 132110202120102.

201021202011231 is a `hidden beast` number, since 20 + 1 + 0 + 212 + 0 + 201 + 1 + 231 = 666.

It is not a de Polignac number, because 201021202011231 - 230 = 201020128269407 is a prime.

It is a super-2 number, since 2×2010212020112312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201021202011251) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15975611766 + ... + 15975624348.

It is an arithmetic number, because the mean of its divisors is an integer number (2493551060000).

Almost surely, 2201021202011231 is an apocalyptic number.

201021202011231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201021202011231 is a deficient number, since it is larger than the sum of its proper divisors (158050150628769).

201021202011231 is a wasteful number, since it uses less digits than its factorization.

201021202011231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22438 (or 22398 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 201021202011231 its reverse (132110202120102), we get a palindrome (333131404131333).

The spelling of 201021202011231 in words is "two hundred one trillion, twenty-one billion, two hundred two million, eleven thousand, two hundred thirty-one".

Divisors: 1 3 7 9 19 21 37 57 63 111 133 171 259 333 399 703 777 1197 1369 2109 2331 4107 4921 6327 9583 9749 12321 12583 14763 26011 28749 29247 37749 44289 68243 78033 86247 87741 88081 113247 182077 185231 204729 234099 239077 264243 360713 465571 546231 555693 614187 717231 792729 1082139 1296617 1396713 1638693 1667079 1673539 2151693 2524991 3246417 3258997 3889851 4190139 5020617 6853547 7574973 8845849 9776991 11669553 13346381 15061851 17226127 20560641 22724919 26537547 29330973 40039143 47974829 51678381 61681923 61920943 79612641 93424667 120117429 120582889 122671667 143924487 155035143 185762829 253581239 280274001 327296413 361748667 368015001 431773461 557288487 760743717 840822003 858701669 981889239 1085246001 1104045003 1775068673 2282231151 2291074891 2330761673 2576105007 2945667717 4538851679 5325206019 6873224673 6992285019 7728315021 13616555037 15975618057 16315331711 20619674019 20976855057 31771961753 40849665111 48945995133 86238181901 95315885259 146837985399 167937512123 258714545703 285947655777 503812536369 603667273307 776143637109 1175562584861 1511437609107 1811001819921 3190812730337 3526687754583 5433005459763 9572438191011 10580063263749 22335689112359 28717314573033 67007067337077 201021202011231