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201013214403132 = 2232174027539915107
BaseRepresentation
bin101101101101001000001001…
…001111010101101000111100
3222100201200020112021201022200
4231231020021033111220330
5202321400030341400012
61551304110150311500
760224503561534305
oct5555101117255074
9870650215251280
10201013214403132
115905a25314396a
121a66585a958590
138821607187471
14378d13d0877ac
151838c359a93dc
hexb6d2093d5a3c

201013214403132 has 144 divisors (see below), whose sum is σ = 538274858284800. Its totient is φ = 63031458986496.

The previous prime is 201013214403107. The next prime is 201013214403143. The reversal of 201013214403132 is 231304412310102.

201013214403132 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 13 + 214 + 403 + 1 + 32 = 666.

201013214403132 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2010132144031322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201013214403096 and 201013214403105.

It is a congruent number.

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, 13305957523 + ... + 13305972629.

It is an arithmetic number, because the mean of its divisors is an integer number (3738019849200).

Almost surely, 2201013214403132 is an apocalyptic number.

It is an amenable number.

201013214403132 is an abundant number, since it is smaller than the sum of its proper divisors (337261643881668).

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

201013214403132 is a wasteful number, since it uses less digits than its factorization.

201013214403132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24560 (or 24555 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 201013214403132 its reverse (231304412310102), we get a palindrome (432317626713234).

The spelling of 201013214403132 in words is "two hundred one trillion, thirteen billion, two hundred fourteen million, four hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 4027 5399 8054 10798 12081 15107 16108 16197 21596 24162 30214 32394 36243 45321 48324 48591 60428 64788 68459 72486 90642 91783 97182 135963 136918 144972 181284 183566 194364 205377 256819 271926 273836 275349 367132 410754 513638 543852 550698 616131 770457 821508 826047 1027276 1101396 1232262 1540914 1652094 2311371 2464524 3081828 3304188 4622742 9245484 21741773 43483546 60835889 65225319 81562693 86967092 121671778 130450638 163125386 182507667 195675957 243343556 244688079 260901276 326250772 365015334 369610141 391351914 489376158 547523001 730030668 734064237 739220282 782703828 978752316 1034210113 1095046002 1108830423 1386565781 1468128474 1478440564 2068420226 2190092004 2217660846 2773131562 2936256948 3102630339 3326491269 4136840452 4159697343 4435321692 5546263124 6205260678 6652982538 8319394686 9307891017 12410521356 12479092029 13305965076 16638789372 18615782034 24958184058 37231564068 49916368116 328452964711 656905929422 985358894133 1313811858844 1970717788266 2956076682399 3941435576532 5583700400087 5912153364798 11167400800174 11824306729596 16751101200261 22334801600348 33502202400522 50253303600783 67004404801044 100506607201566 201013214403132