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111141140201 = 71323315929033
BaseRepresentation
bin110011110000010000…
…1110011011011101001
3101121212121122220102222
41213200201303123221
53310104112441301
6123020232203425
711013116050550
oct1474041633351
9347777586388
10111141140201
1143153304693
1219658b39575
13a632a533b0
145544990d97
152d573a831b
hex19e08736e9

111141140201 has 64 divisors (see below), whose sum is σ = 149843312640. Its totient is φ = 80016837120.

The previous prime is 111141140183. The next prime is 111141140221. The reversal of 111141140201 is 102041141111.

It is a cyclic number.

It is not a de Polignac number, because 111141140201 - 214 = 111141123817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111141140201.

It is not an unprimeable number, because it can be changed into a prime (111141140221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3813581 + ... + 3842613.

It is an arithmetic number, because the mean of its divisors is an integer number (2341301760).

Almost surely, 2111141140201 is an apocalyptic number.

It is an amenable number.

111141140201 is a deficient number, since it is larger than the sum of its proper divisors (38702172439).

111141140201 is a wasteful number, since it uses less digits than its factorization.

111141140201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29166.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 111141140201 its reverse (102041141111), we get a palindrome (213182281312).

The spelling of 111141140201 in words is "one hundred eleven billion, one hundred forty-one million, one hundred forty thousand, two hundred one".

Divisors: 1 7 13 23 31 59 91 161 217 299 403 413 713 767 1357 1829 2093 2821 4991 5369 9269 9499 12803 17641 23777 29033 42067 64883 123487 166439 203231 294469 377429 546871 667759 900023 1712947 2642003 3828097 4674313 6300161 8680867 11700299 11990629 20700529 22268311 39397781 53101357 60766069 81902093 144903703 155878177 269106877 275784467 371709499 512171153 690317641 1221331211 1883748139 3585198071 4832223487 8549318477 15877305743 111141140201