Search a number
-
+
111434314232 = 232347173211353
BaseRepresentation
bin110011111001000000…
…0001011000111111000
3101122122001022200121102
41213302000023013320
53311204141023412
6123105304030532
711023306020413
oct1476200130770
9348561280542
10111434314232
114329384667a
121971b162448
13a67b701257
1455718a8b7a
152d72eb98c2
hex19f200b1f8

111434314232 has 128 divisors (see below), whose sum is σ = 225648322560. Its totient is φ = 51467243520.

The previous prime is 111434314231. The next prime is 111434314247. The reversal of 111434314232 is 232413434111.

It is a super-2 number, since 2×1114343142322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111434314195 and 111434314204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111434314231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315677768 + ... + 315678120.

It is an arithmetic number, because the mean of its divisors is an integer number (1762877520).

Almost surely, 2111434314232 is an apocalyptic number.

It is an amenable number.

111434314232 is an abundant number, since it is smaller than the sum of its proper divisors (114214008328).

111434314232 is a wasteful number, since it uses less digits than its factorization.

111434314232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

The product of its digits is 6912, while the sum is 29.

Adding to 111434314232 its reverse (232413434111), we get a palindrome (343847748343).

The spelling of 111434314232 in words is "one hundred eleven billion, four hundred thirty-four million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 23 46 47 92 94 173 184 188 211 346 353 376 422 692 706 844 1081 1384 1412 1688 2162 2824 3979 4324 4853 7958 8119 8131 8648 9706 9917 15916 16238 16262 16591 19412 19834 31832 32476 32524 33182 36503 38824 39668 61069 64952 65048 66364 73006 74483 79336 122138 132728 146012 148966 187013 228091 244276 292024 297932 374026 381593 456182 488552 595864 748052 763186 839569 912364 1404587 1496104 1526372 1679138 1713109 1715641 1824728 2809174 2870243 3052744 3358276 3426218 3431282 3500701 5618348 5740486 6716552 6852436 6862564 7001402 11236696 11480972 12885559 13704872 13725128 14002804 22961944 25771118 28005608 39459743 51542236 66015589 78919486 80516123 103084472 132031178 157838972 161032246 264062356 296367857 315677944 322064492 528124712 592735714 605621273 644128984 1185471428 1211242546 2370942856 2422485092 4844970184 13929289279 27858578558 55717157116 111434314232