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212111202111252 = 223173749157233489
BaseRepresentation
bin110000001110100111111100…
…110110101100111100010100
31000211000122002101002201100220
4300032213330312230330110
5210300212220220030002
62031042312510434340
762451346215561153
oct6016477466547424
91024018071081326
10212111202111252
1161648945956234
121b9586a45029b0
13914800122baa2
143a5434630559a
15197c7748ad7bc
hexc0e9fcdacf14

212111202111252 has 96 divisors (see below), whose sum is σ = 539298813836160. Its totient is φ = 64614318612480.

The previous prime is 212111202111251. The next prime is 212111202111301. The reversal of 212111202111252 is 252111202111212.

It is a super-2 number, since 2×2121112021112522 (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 (212111202111251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24910677 + ... + 32322812.

It is an arithmetic number, because the mean of its divisors is an integer number (5617695977460).

Almost surely, 2212111202111252 is an apocalyptic number.

It is an amenable number.

212111202111252 is an abundant number, since it is smaller than the sum of its proper divisors (327187611724908).

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

212111202111252 is a wasteful number, since it uses less digits than its factorization.

212111202111252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57234041 (or 57234039 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 24.

Adding to 212111202111252 its reverse (252111202111212), we get a palindrome (464222404222464).

The spelling of 212111202111252 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred two million, one hundred eleven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 148 204 222 444 491 629 982 1258 1473 1887 1964 2516 2946 3774 5892 7548 8347 16694 18167 25041 33388 36334 50082 54501 72668 100164 109002 218004 308839 617678 926517 1235356 1853034 3706068 57233489 114466978 171700467 228933956 343400934 686801868 972969313 1945938626 2117639093 2918907939 3891877252 4235278186 5837815878 6352917279 8470556372 11675631756 12705834558 25411669116 28101643099 35999864581 56203286198 71999729162 84304929297 107999593743 112406572396 143999458324 168609858594 215999187486 337219717188 431998374972 477727932683 955455865366 1039760794663 1433183798049 1910911730732 2079521589326 2866367596098 3119282383989 4159043178652 5732735192196 6238564767978 12477129535956 17675933509271 35351867018542 53027800527813 70703734037084 106055601055626 212111202111252