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200201601213432 = 2333713471511435151
BaseRepresentation
bin101101100001010100010001…
…010100101110001111111000
3222020212002022210212210222000
4231201110101110232033320
5202220100334402312212
61545443202415101000
760112042211334330
oct5541242124561770
9866762283783860
10200201601213432
1158877027704935
121a5544b3211760
138792c1224a210
143761b486340c0
151822a82da21dc
hexb6151152e3f8

200201601213432 has 512 divisors, whose sum is σ = 703642396262400. Its totient is φ = 51334741440000.

The previous prime is 200201601213391. The next prime is 200201601213529. The reversal of 200201601213432 is 234312106102002.

200201601213432 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 0 + 1 + 601 + 2 + 13 + 43 + 2 = 666.

It is a super-2 number, since 2×2002016012134322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200201601213396 and 200201601213405.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 138781057 + ... + 140216207.

It is an arithmetic number, because the mean of its divisors is an integer number (1374301555200).

Almost surely, 2200201601213432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200201601213432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351821198131200).

200201601213432 is an abundant number, since it is smaller than the sum of its proper divisors (503440795048968).

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

200201601213432 is a wasteful number, since it uses less digits than its factorization.

200201601213432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435384 (or 1435374 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 200201601213432 its reverse (234312106102002), we get a palindrome (434513707315434).

The spelling of 200201601213432 in words is "two hundred trillion, two hundred one billion, six hundred one million, two hundred thirteen thousand, four hundred thirty-two".