Search a number
-
+
212120100110202 = 234715136731874259
BaseRepresentation
bin110000001110110000001111…
…001101110111111101111010
31000211001111001111020220020120
4300032300033031313331322
5210300333431112011302
62031050343445434110
762452112552404104
oct6016601715677572
91024044044226216
10212120100110202
11616516a1609579
121b95a36840b936
139148abb81781b
143a5494bd68574
15197cae5b3c9bc
hexc0ec0f377f7a

212120100110202 has 128 divisors (see below), whose sum is σ = 437564219719680. Its totient is φ = 68519092190400.

The previous prime is 212120100110197. The next prime is 212120100110209. The reversal of 212120100110202 is 202011001021212.

It is not an unprimeable number, because it can be changed into a prime (212120100110209) 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, 49805139949 + ... + 49805144207.

It is an arithmetic number, because the mean of its divisors is an integer number (3418470466560).

Almost surely, 2212120100110202 is an apocalyptic number.

212120100110202 is an abundant number, since it is smaller than the sum of its proper divisors (225444119609478).

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

212120100110202 is a wasteful number, since it uses less digits than its factorization.

212120100110202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212120100110202 its reverse (202011001021212), we get a palindrome (414131101131414).

The spelling of 212120100110202 in words is "two hundred twelve trillion, one hundred twenty billion, one hundred million, one hundred ten thousand, two hundred two".

Divisors: 1 2 3 6 47 94 141 151 282 302 367 453 734 906 1101 2202 3187 4259 6374 7097 8518 9561 12777 14194 17249 19122 21291 25554 34498 42582 51747 55417 103494 110834 149789 166251 200173 299578 332502 400346 449367 481237 600519 643109 898734 962474 1169629 1201038 1286218 1443711 1563053 1929327 2339258 2604599 2887422 3126106 3508887 3858654 4689159 5209198 7017774 7813797 9378318 13573433 15627594 22618139 27146866 30226123 40720299 45236278 54972563 60452246 67854417 73463491 81440598 90678369 109945126 135708834 146926982 164917689 176613979 181356738 220390473 236021003 329835378 353227958 440780946 472042006 529841937 637951351 708063009 1059683874 1275902702 1416126018 1913854053 2049588383 3827708106 4099176766 4981449911 6148765149 8300857013 9962899822 11092987141 12297530298 14944349733 16601714026 22185974282 24902571039 29888699466 33278961423 49805142078 66557922846 96330654001 192661308002 234128145817 288991962003 468256291634 577983924006 702384437451 752198936561 1404768874902 1504397873122 2256596809683 4513193619366 35353350018367 70706700036734 106060050055101 212120100110202