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111274105472 = 2717375389293
BaseRepresentation
bin110011110100001110…
…1000001101010000000
3101122012212212020111122
41213220131001222000
53310342132333342
6123041342131412
711016322201445
oct1475035015200
9348185766448
10111274105472
1143211371442
1219695580b68
13a65446977a
1455584c39cc
152d63dc04d2
hex19e8741a80

111274105472 has 256 divisors, whose sum is σ = 249218272800. Its totient is φ = 49257381888.

The previous prime is 111274105367. The next prime is 111274105513. The reversal of 111274105472 is 274501472111.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 77983913536 + 33290191936 = 279256^2 + 182456^2 .

It is a super-3 number, since 3×1112741054723 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379774958 + ... + 379775250.

Almost surely, 2111274105472 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 111274105472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124609136400).

111274105472 is an abundant number, since it is smaller than the sum of its proper divisors (137944167328).

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

111274105472 is a wasteful number, since it uses less digits than its factorization.

111274105472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 35.

Adding to 111274105472 its reverse (274501472111), we get a palindrome (385775577583).

The spelling of 111274105472 in words is "one hundred eleven billion, two hundred seventy-four million, one hundred five thousand, four hundred seventy-two".