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111493116 = 22327617253
BaseRepresentation
bin1101010010100…
…11111111111100
321202210102210200
412221103333330
5212020234431
615021403500
72522450550
oct651237774
9252712720
10111493116
1157a31479
1231409590
131a138b77
1410b43860
159bc4ee6
hex6a53ffc

111493116 has 72 divisors (see below), whose sum is σ = 327416544. Its totient is φ = 31328640.

The previous prime is 111493091. The next prime is 111493147. The reversal of 111493116 is 611394111.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 111493116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11746 + ... + 18998.

It is an arithmetic number, because the mean of its divisors is an integer number (4547452).

Almost surely, 2111493116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111493116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163708272).

111493116 is an abundant number, since it is smaller than the sum of its proper divisors (215923428).

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

111493116 is a wasteful number, since it uses less digits than its factorization.

111493116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7331 (or 7326 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 111493116 is about 10559.0300690925. The cubic root of 111493116 is about 481.3001729666.

The spelling of 111493116 in words is "one hundred eleven million, four hundred ninety-three thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2562 3843 5124 7253 7686 14506 15372 21759 29012 43518 50771 65277 87036 101542 130554 152313 203084 261108 304626 442433 456939 609252 884866 913878 1327299 1769732 1827756 2654598 3097031 3981897 5309196 6194062 7963794 9291093 12388124 15927588 18582186 27873279 37164372 55746558 111493116