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111338041401 = 34171073831973
BaseRepresentation
bin110011110110001000…
…0111011000000111001
3101122101100011112010000
41213230100323000321
53311010014311101
6123051544343213
711021026510536
oct1475420730071
9348340145100
10111338041401
1143244470454
12196b2a74b09
13a664794092
145562ba7d8d
152d697ee486
hex19ec43b039

111338041401 has 80 divisors (see below), whose sum is σ = 178303555584. Its totient is φ = 68990593536.

The previous prime is 111338041393. The next prime is 111338041427. The reversal of 111338041401 is 104140833111.

111338041401 is a `hidden beast` number, since 11 + 133 + 80 + 41 + 401 = 666.

It is not a de Polignac number, because 111338041401 - 23 = 111338041393 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111338041501) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56429851 + ... + 56431823.

Almost surely, 2111338041401 is an apocalyptic number.

It is an amenable number.

111338041401 is a deficient number, since it is larger than the sum of its proper divisors (66965514183).

111338041401 is a wasteful number, since it uses less digits than its factorization.

111338041401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 111338041401 its reverse (104140833111), we get a palindrome (215478874512).

The spelling of 111338041401 in words is "one hundred eleven billion, three hundred thirty-eight million, forty-one thousand, four hundred one".

Divisors: 1 3 9 17 27 51 81 107 153 321 383 459 963 1149 1377 1819 1973 2889 3447 5457 5919 6511 8667 10341 16371 17757 19533 31023 33541 40981 49113 53271 58599 100623 122943 147339 159813 175797 211111 301869 368829 527391 633333 696677 755659 905607 1106487 1899999 2090031 2266977 2716821 3319461 3588887 5699997 6270093 6800931 10766661 12846203 17099991 18810279 20402793 32299983 38538609 56430837 61208379 80855513 96899949 115615827 242566539 290699847 346847481 727699617 1040542443 1374543721 2183098851 4123631163 6549296553 12370893489 37112680467 111338041401