Search a number
-
+
20111213112 = 233171373311087
BaseRepresentation
bin10010101110101110…
…001100001000111000
31220220120210110221220
4102232232030020320
5312141432304422
613123341032040
71311242330244
oct225656141070
956816713856
1020111213112
11859028a091
123a93255620
131b86746203
14d8ad95424
157ca8d7e5c
hex4aeb8c238

20111213112 has 128 divisors (see below), whose sum is σ = 53835632640. Its totient is φ = 6238679040.

The previous prime is 20111213099. The next prime is 20111213149. The reversal of 20111213112 is 21131211102.

It is a junction number, because it is equal to n+sod(n) for n = 20111213091 and 20111213100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18501033 + ... + 18502119.

It is an arithmetic number, because the mean of its divisors is an integer number (420590880).

Almost surely, 220111213112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26917816320).

20111213112 is an abundant number, since it is smaller than the sum of its proper divisors (33724419528).

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

20111213112 is a wasteful number, since it uses less digits than its factorization.

20111213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 20111213112 its reverse (21131211102), we get a palindrome (41242424214).

The spelling of 20111213112 in words is "twenty billion, one hundred eleven million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 137 204 274 331 408 411 548 662 822 993 1087 1096 1324 1644 1986 2174 2329 2648 3261 3288 3972 4348 4658 5627 6522 6987 7944 8696 9316 11254 13044 13974 16881 18479 18632 22508 26088 27948 33762 36958 45016 45347 55437 55896 67524 73916 90694 110874 135048 136041 147832 148919 181388 221748 272082 297838 359797 362776 443496 446757 544164 595676 719594 770899 893514 1079391 1088328 1191352 1439188 1541798 1787028 2158782 2312697 2531623 2878376 3083596 3574056 4317564 4625394 5063246 6116549 6167192 7594869 8635128 9250788 10126492 12233098 15189738 18349647 18501576 20252984 24466196 30379476 36699294 48932392 49292189 60758952 73398588 98584378 146797176 147876567 197168756 295753134 394337512 591506268 837967213 1183012536 1675934426 2513901639 3351868852 5027803278 6703737704 10055606556 20111213112