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1221342100 = 2252111110311
BaseRepresentation
bin100100011001100…
…0011001110010100
310011010011121101121
41020303003032110
510000130421400
6321105333324
742160144066
oct11063031624
93133147347
101221342100
11577463440
122a1037244
13166057744
14b82c7736
157235421a
hex48cc3394

1221342100 has 36 divisors (see below), whose sum is σ = 2891252448. Its totient is φ = 444124000.

The previous prime is 1221342077. The next prime is 1221342119. The reversal of 1221342100 is 12431221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 554056 + ... + 556255.

It is an arithmetic number, because the mean of its divisors is an integer number (80312568).

Almost surely, 21221342100 is an apocalyptic number.

1221342100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221342100 is an abundant number, since it is smaller than the sum of its proper divisors (1669910348).

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

1221342100 is a wasteful number, since it uses less digits than its factorization.

1221342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110336 (or 1110329 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1221342100 is about 34947.7052179396. The cubic root of 1221342100 is about 1068.9214099865.

Adding to 1221342100 its reverse (12431221), we get a palindrome (1233773321).

The spelling of 1221342100 in words is "one billion, two hundred twenty-one million, three hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1110311 2220622 4441244 5551555 11103110 12213421 22206220 24426842 27757775 48853684 55515550 61067105 111031100 122134210 244268420 305335525 610671050 1221342100