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101221312 = 264336781
BaseRepresentation
bin1100000100010…
…00001111000000
321001110120112111
412002020033000
5201403040222
614013305104
72336236603
oct602101700
9231416474
10101221312
1152156085
1229a95194
1317c8068a
14d62c33a
158d46777
hex60883c0

101221312 has 28 divisors (see below), whose sum is σ = 205537816. Its totient is φ = 49432320.

The previous prime is 101221297. The next prime is 101221313. The reversal of 101221312 is 213122101.

It is a junction number, because it is equal to n+sod(n) for n = 101221292 and 101221301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15639 + ... + 21142.

Almost surely, 2101221312 is an apocalyptic number.

It is an amenable number.

101221312 is an abundant number, since it is smaller than the sum of its proper divisors (104316504).

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

101221312 is an equidigital number, since it uses as much as digits as its factorization.

101221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36836 (or 36826 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101221312 is about 10060.8802795779. The cubic root of 101221312 is about 466.0408518405.

Adding to 101221312 its reverse (213122101), we get a palindrome (314343413).

The spelling of 101221312 in words is "one hundred one million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 2752 36781 73562 147124 294248 588496 1176992 1581583 2353984 3163166 6326332 12652664 25305328 50610656 101221312