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200100213210312 = 233211376292442949
BaseRepresentation
bin101101011111110101110110…
…001000001011110011001000
3222020111101121220110121101100
4231133311312020023303020
5202211420214040212222
61545324434030221400
760101522551460442
oct5537656610136310
9866441556417340
10200100213210312
1158838029834518
121a538918654860
1387864a4ccc76c
14375ac8b105492
1518200ebd924ac
hexb5fd7620bcc8

200100213210312 has 48 divisors (see below), whose sum is σ = 541938775657500. Its totient is φ = 66699985136256.

The previous prime is 200100213210277. The next prime is 200100213210379. The reversal of 200100213210312 is 213012312001002.

200100213210312 is a `hidden beast` number, since 2 + 0 + 0 + 10 + 0 + 21 + 321 + 0 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 197898889063716 + 2201324146596 = 14067654^2 + 1483686^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80687814 + ... + 83130762.

Almost surely, 2200100213210312 is an apocalyptic number.

It is an amenable number.

200100213210312 is an abundant number, since it is smaller than the sum of its proper divisors (341838562447188).

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

200100213210312 is a wasteful number, since it uses less digits than its factorization.

200100213210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580590 (or 3580583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 200100213210312 its reverse (213012312001002), we get a palindrome (413112525211314).

The spelling of 200100213210312 in words is "two hundred trillion, one hundred billion, two hundred thirteen million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1137629 2275258 2442949 3412887 4550516 4885898 6825774 7328847 9101032 9771796 10238661 13651548 14657694 19543592 20477322 21986541 27303096 29315388 40954644 43973082 58630776 81909288 87946164 175892328 2779169627921 5558339255842 8337508883763 11116678511684 16675017767526 22233357023368 25012526651289 33350035535052 50025053302578 66700071070104 100050106605156 200100213210312