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212301031020001 = 73111731322394723
BaseRepresentation
bin110000010001011000101111…
…100010100001010111100001
31000211200210001212200102122221
4300101120233202201113201
5210311320002420120001
62031305425223031041
762501146313641000
oct6021305742412741
91024623055612587
10212301031020001
11617113a8374aa0
121b98944189b481
13915cb94288871
143a5d5d3648c37
151982684e2b1a1
hexc1162f8a15e1

212301031020001 has 128 divisors (see below), whose sum is σ = 287078916096000. Its totient is φ = 155098633697280.

The previous prime is 212301031019983. The next prime is 212301031020017. The reversal of 212301031020001 is 100020130103212.

It is not a de Polignac number, because 212301031020001 - 225 = 212300997465569 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212301031020031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44950459426 + ... + 44950464148.

It is an arithmetic number, because the mean of its divisors is an integer number (2242804032000).

Almost surely, 2212301031020001 is an apocalyptic number.

It is an amenable number.

212301031020001 is a deficient number, since it is larger than the sum of its proper divisors (74777885075999).

212301031020001 is a wasteful number, since it uses less digits than its factorization.

212301031020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7324 (or 7310 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 212301031020001 its reverse (100020130103212), we get a palindrome (312321161123213).

The spelling of 212301031020001 in words is "two hundred twelve trillion, three hundred one billion, thirty-one million, twenty thousand, one".

Divisors: 1 7 11 17 49 77 119 187 313 343 539 833 1309 2191 2239 3443 3773 4723 5321 5831 9163 15337 15673 24101 24629 33061 37247 38063 51953 58531 64141 80291 107359 109711 168707 172403 231427 260729 266441 363671 409717 418693 562037 700807 767977 883201 1180949 1206821 1478299 1619989 1825103 1865087 2545697 2868019 2930851 3934259 4905649 6182407 7708877 8447747 10348093 10574797 11913719 13055609 16261289 17819879 20076133 20515957 25131083 27539813 34339543 43276849 53962139 72436651 74023579 83396033 113829023 116322767 131050909 143611699 175917581 179771549 240376801 276441913 302937943 377734973 507056557 518165053 583772231 796803161 814259369 917356363 1231423067 1258400843 1935093391 1977487039 2644144811 3309911461 3627155371 4086405617 5577622127 5699815583 6421494541 8619961469 8808805901 13545653737 13842409273 23169380227 36409026071 39898709081 44950461787 56268494837 61661641307 94819576159 96896864911 162185661589 254863182497 393879463859 618953443207 678278054377 1135299631123 1784042277479 2757156247013 4332674102449 12488295942353 19300093729091 30328718717143 212301031020001