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111296299321 = 149222392
BaseRepresentation
bin110011110100111000…
…1101100000100111001
3101122021102121210202001
41213221301230010321
53310413323034241
6123043453541001
711020011635524
oct1475161540471
9348242553661
10111296299321
114322294aa69
12196a0aa4761
13a658c3a61c
14555b41dbbb
152d65d06431
hex19e9c6c139

111296299321 has 9 divisors (see below), whose sum is σ = 112098333711. Its totient is φ = 110499969864.

The previous prime is 111296299307. The next prime is 111296299369. The reversal of 111296299321 is 123992692111.

The square root of 111296299321 is 333611.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13039127721 + 98257171600 = 114189^2 + 313460^2 .

It is not a de Polignac number, because 111296299321 - 219 = 111295775033 is a prime.

It is a super-2 number, since 2×1112962993212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111296299021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49706920 + ... + 49709158.

Almost surely, 2111296299321 is an apocalyptic number.

111296299321 is the 333611-st square number.

111296299321 is the 166806-th centered octagonal number.

It is an amenable number.

111296299321 is a deficient number, since it is larger than the sum of its proper divisors (802034390).

111296299321 is an frugal number, since it uses more digits than its factorization.

111296299321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 2388 counting only the distinct ones).

The product of its digits is 104976, while the sum is 46.

The spelling of 111296299321 in words is "one hundred eleven billion, two hundred ninety-six million, two hundred ninety-nine thousand, three hundred twenty-one".

Divisors: 1 149 2239 22201 333611 5013121 49708039 746955029 111296299321