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203021211210312 = 2331121583220320047
BaseRepresentation
bin101110001010010110001111…
…001011010001001001001000
3222121211122020021112110110110
4232022112033023101021020
5203102244420032212222
61555442353514514320
760522540606014115
oct5612261713211110
9877748207473413
10203021211210312
11597638a2a81300
121a92aa54a359a0
138938a833b45b1
14381c3c9a0d90c
1518710aaa5130c
hexb8a58f2d1248

203021211210312 has 192 divisors, whose sum is σ = 558522550333440. Its totient is φ = 61451741070720.

The previous prime is 203021211210289. The next prime is 203021211210329. The reversal of 203021211210312 is 213012112120302.

It is a super-2 number, since 2×2030212112103122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10127251473 + ... + 10127271519.

It is an arithmetic number, because the mean of its divisors is an integer number (2908971616320).

Almost surely, 2203021211210312 is an apocalyptic number.

203021211210312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203021211210312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279261275166720).

203021211210312 is an abundant number, since it is smaller than the sum of its proper divisors (355501339123128).

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

203021211210312 is a wasteful number, since it uses less digits than its factorization.

203021211210312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23864 (or 23849 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 203021211210312 its reverse (213012112120302), we get a palindrome (416033323330614).

The spelling of 203021211210312 in words is "two hundred three trillion, twenty-one billion, two hundred eleven million, two hundred ten thousand, three hundred twelve".