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20111322112192 = 261754171947521
BaseRepresentation
bin1001001001010100010000…
…01101011110000011000000
32122012121211121122202000001
410210222020031132003000
510114000441430042232
6110435002553205344
74143665211246553
oct444521015360300
978177747582001
1020111322112192
116454189038653
122309861100854
13b2b64968b53c
144d7570c7a69a
1524d21d08a6e7
hex124a8835e0c0

20111322112192 has 112 divisors (see below), whose sum is σ = 42393836350080. Its totient is φ = 9433320652800.

The previous prime is 20111322112159. The next prime is 20111322112223. The reversal of 20111322112192 is 29121122311102.

It is a self number, because there is not a number n which added to its sum of digits gives 20111322112192.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423185392 + ... + 423232912.

Almost surely, 220111322112192 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 20111322112192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21196918175040).

20111322112192 is an abundant number, since it is smaller than the sum of its proper divisors (22282514237888).

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

20111322112192 is a wasteful number, since it uses less digits than its factorization.

20111322112192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48810 (or 48800 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 28.

Adding to 20111322112192 its reverse (29121122311102), we get a palindrome (49232444423294).

The spelling of 20111322112192 in words is "twenty trillion, one hundred eleven billion, three hundred twenty-two million, one hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 541 544 719 1082 1088 1438 2164 2876 4328 5752 8656 9197 11504 12223 17312 18394 23008 24446 34624 36788 46016 47521 48892 73576 95042 97784 147152 190084 195568 294304 380168 388979 391136 588608 760336 777958 782272 807857 1520672 1555916 1615714 3041344 3111832 3231428 6223664 6462856 6612643 12447328 12925712 13225286 24894656 25708861 25851424 26450572 34167599 51417722 51702848 52901144 68335198 102835444 105802288 136670396 205670888 211604576 273340792 411341776 423209152 437050637 546681584 580849183 822683552 874101274 1093363168 1161698366 1645367104 1748202548 2186726336 2323396732 3496405096 4646793464 6992810192 9293586928 13985620384 18484671059 18587173856 27971240768 36969342118 37174347712 73938684236 147877368472 295754736944 314239408003 591509473888 628478816006 1183018947776 1256957632012 2513915264024 5027830528048 10055661056096 20111322112192