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203330140332 = 2231123402716631
BaseRepresentation
bin1011110101011101101…
…0111011100010101100
3201102211102112100020020
42331113122323202230
511312410003442312
6233224130322140
720455465450644
oct2752732734254
9642742470206
10203330140332
11792606219a0
12334a6a29350
1316235225307
149bac4a5524
1554509cc78c
hex2f576bb8ac

203330140332 has 96 divisors (see below), whose sum is σ = 540237164544. Its totient is φ = 58918094400.

The previous prime is 203330140291. The next prime is 203330140337. The reversal of 203330140332 is 233041033302.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (203330140337) 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 31 ways as a sum of consecutive naturals, for example, 12217657 + ... + 12234287.

It is an arithmetic number, because the mean of its divisors is an integer number (5627470464).

Almost surely, 2203330140332 is an apocalyptic number.

203330140332 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 203330140332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270118582272).

203330140332 is an abundant number, since it is smaller than the sum of its proper divisors (336907024212).

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

203330140332 is a wasteful number, since it uses less digits than its factorization.

203330140332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20699 (or 20697 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 203330140332 its reverse (233041033302), we get a palindrome (436371173634).

The spelling of 203330140332 in words is "two hundred three billion, three hundred thirty million, one hundred forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 253 276 506 759 1012 1518 3036 4027 8054 12081 16108 16631 24162 33262 44297 48324 49893 66524 88594 92621 99786 132891 177188 182941 185242 199572 265782 277863 365882 370484 382513 531564 548823 555726 731764 765026 1018831 1097646 1111452 1147539 1530052 2037662 2195292 2295078 3056493 4075324 4207643 4590156 6112986 8415286 12225972 12622929 16830572 25245858 50491716 66973037 133946074 200919111 267892148 401838222 736703407 803676444 1473406814 1540379851 2210110221 2946813628 3080759702 4420220442 4621139553 6161519404 8840440884 9242279106 16944178361 18484558212 33888356722 50832535083 67776713444 101665070166 203330140332