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111105270042 = 231312711819497
BaseRepresentation
bin110011101111001100…
…0111110000100011010
3101121210010011111211120
41213132120332010122
53310020422120132
6123012511310110
711012202133044
oct1473630760432
9347703144746
10111105270042
1143135034928
1219648b1b336
13a6284a4550
14553dcd4a94
152d5417002c
hex19de63e11a

111105270042 has 64 divisors (see below), whose sum is σ = 241417580544. Its totient is φ = 33884766720.

The previous prime is 111105269993. The next prime is 111105270049. The reversal of 111105270042 is 240072501111.

It is a super-2 number, since 2×1111052700422 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111105269994 and 111105270021.

It is not an unprimeable number, because it can be changed into a prime (111105270049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11694238 + ... + 11703734.

It is an arithmetic number, because the mean of its divisors is an integer number (3772149696).

Almost surely, 2111105270042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111105270042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120708790272).

111105270042 is an abundant number, since it is smaller than the sum of its proper divisors (130312310502).

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

111105270042 is a wasteful number, since it uses less digits than its factorization.

111105270042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10823.

The product of its (nonzero) digits is 560, while the sum is 24.

Adding to 111105270042 its reverse (240072501111), we get a palindrome (351177771153).

The spelling of 111105270042 in words is "one hundred eleven billion, one hundred five million, two hundred seventy thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 78 127 254 381 762 1181 1651 2362 3302 3543 4953 7086 9497 9906 15353 18994 28491 30706 46059 56982 92118 123461 149987 246922 299974 370383 449961 740766 899922 1206119 1949831 2412238 3618357 3899662 5849493 7236714 11215957 11698986 15679547 22431914 31359094 33647871 47038641 67295742 94077282 145807441 291614882 437422323 874844646 1424426539 2848853078 4273279617 8546559234 18517545007 37035090014 55552635021 111105270042