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121314440 = 23513233297
BaseRepresentation
bin1110011101100…
…01110010001000
322110021102010102
413032301302020
5222024030230
620012104532
73002104262
oct716616210
9273242112
10121314440
116252a375
1234765148
131c1972c0
141217cb32
15a9b5045
hex73b1c88

121314440 has 32 divisors (see below), whose sum is σ = 293955480. Its totient is φ = 44792832.

The previous prime is 121314409. The next prime is 121314461. The reversal of 121314440 is 44413121.

It can be written as a sum of positive squares in 4 ways, for example, as 106461124 + 14853316 = 10318^2 + 3854^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 116129 + ... + 117168.

Almost surely, 2121314440 is an apocalyptic number.

121314440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121314440 is an abundant number, since it is smaller than the sum of its proper divisors (172641040).

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

121314440 is a wasteful number, since it uses less digits than its factorization.

121314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233321 (or 233317 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 121314440 is about 11014.2834537704. The cubic root of 121314440 is about 495.0368166338.

Adding to 121314440 its reverse (44413121), we get a palindrome (165727561).

The spelling of 121314440 in words is "one hundred twenty-one million, three hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 233297 466594 933188 1166485 1866376 2332970 3032861 4665940 6065722 9331880 12131444 15164305 24262888 30328610 60657220 121314440