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111421210401 = 32101331547677
BaseRepresentation
bin110011111000100111…
…0001011111100100001
3101122121010122221112100
41213301032023330201
53311142312213101
6123104115121013
711023056443004
oct1476116137441
9348533587470
10111421210401
1143287406566
12197168a3169
13a678a939c7
14556dc5753b
152d71c7be86
hex19f138bf21

111421210401 has 48 divisors (see below), whose sum is σ = 163565558208. Its totient is φ = 73081008000.

The previous prime is 111421210379. The next prime is 111421210441. The reversal of 111421210401 is 104012124111.

111421210401 is a `hidden beast` number, since 1 + 1 + 142 + 121 + 0 + 401 = 666.

It is not a de Polignac number, because 111421210401 - 26 = 111421210337 is a prime.

It is a super-3 number, since 3×1114212104013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (111421210441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164580475 + ... + 164581151.

It is an arithmetic number, because the mean of its divisors is an integer number (3407615796).

Almost surely, 2111421210401 is an apocalyptic number.

It is an amenable number.

111421210401 is a deficient number, since it is larger than the sum of its proper divisors (52144347807).

111421210401 is a wasteful number, since it uses less digits than its factorization.

111421210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111421210401 its reverse (104012124111), we get a palindrome (215433334512).

The spelling of 111421210401 in words is "one hundred eleven billion, four hundred twenty-one million, two hundred ten thousand, four hundred one".

Divisors: 1 3 9 101 303 331 547 677 909 993 1641 2031 2979 4923 6093 33431 55247 68377 100293 165741 181057 205131 224087 300879 370319 497223 543171 615393 672261 1110957 1629513 2016783 3332871 18286757 22632787 37402219 54860271 67898361 112206657 122575589 164580813 203695083 336619971 367726767 1103180301 12380134489 37140403467 111421210401