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214302121203412 = 221121572820210049
BaseRepresentation
bin110000101110100000011001…
…110011110001011011010100
31001002210002020021220100010101
4300232200121303301123110
5211042111221012002122
62035441011350303444
763065550224565244
oct6056403163613324
91032702207810111
10214302121203412
1162313023635800
122005122a957b84
1392767ac644678
143acc3c6bddb24
1519b97539a1027
hexc2e819cf16d4

214302121203412 has 36 divisors (see below), whose sum is σ = 414847257934900. Its totient is φ = 96789608847360.

The previous prime is 214302121203407. The next prime is 214302121203419.

214302121203412 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 20467897029316 + 193834224174096 = 4524146^2 + 13922436^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214302121203419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1410029037 + ... + 1410181012.

Almost surely, 2214302121203412 is an apocalyptic number.

214302121203412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214302121203412 is a deficient number, since it is larger than the sum of its proper divisors (200545136731488).

214302121203412 is a wasteful number, since it uses less digits than its factorization.

214302121203412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820210232 (or 2820210219 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 214302121203412 in words is "two hundred fourteen trillion, three hundred two billion, one hundred twenty-one million, two hundred three thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 121 157 242 314 484 628 1727 3454 6908 18997 37994 75988 2820210049 5640420098 11280840196 31022310539 62044621078 124089242156 341245415929 442772977693 682490831858 885545955386 1364981663716 1771091910772 4870502754623 9741005509246 19482011018492 53575530300853 107151060601706 214302121203412