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121314100 = 22521213141
BaseRepresentation
bin1110011101100…
…01101100110100
322110021101122211
413032301230310
5222024022400
620012103204
73002103265
oct716615464
9273241584
10121314100
116252a096
1234764b04
131c1970bb
141217c96c
15a9b4dba
hex73b1b34

121314100 has 18 divisors (see below), whose sum is σ = 263251814. Its totient is φ = 48525600.

The previous prime is 121314077. The next prime is 121314119. The reversal of 121314100 is 1413121.

It can be written as a sum of positive squares in 3 ways, for example, as 12362256 + 108951844 = 3516^2 + 10438^2 .

It is a super-2 number, since 2×1213141002 = 29434221717620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 606471 + ... + 606670.

Almost surely, 2121314100 is an apocalyptic number.

121314100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121314100 is an abundant number, since it is smaller than the sum of its proper divisors (141937714).

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

121314100 is a wasteful number, since it uses less digits than its factorization.

121314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213155 (or 1213148 counting only the distinct ones).

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

The square root of 121314100 is about 11014.2680192558. The cubic root of 121314100 is about 495.0363541643.

Adding to 121314100 its reverse (1413121), we get a palindrome (122727221).

The spelling of 121314100 in words is "one hundred twenty-one million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1213141 2426282 4852564 6065705 12131410 24262820 30328525 60657050 121314100