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204035213000 = 23532953132749
BaseRepresentation
bin1011111000000101110…
…0100100011011001000
3201111122120020202002202
42332001130210123020
511320331003304000
6233422114415332
720512116460253
oct2760134443310
9644576222082
10204035213000
1179592616483
1233662b91548
131631831c588
149c37da009a
155492852dd5
hex2f817246c8

204035213000 has 128 divisors (see below), whose sum is σ = 503228700000. Its totient is φ = 77312435200.

The previous prime is 204035212963. The next prime is 204035213017. The reversal of 204035213000 is 312530402.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1284935716 + 202750277284 = 35846^2 + 450278^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1470626 + ... + 1603374.

Almost surely, 2204035213000 is an apocalyptic number.

204035213000 is a gapful number since it is divisible by the number (20) 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 204035213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251614350000).

204035213000 is an abundant number, since it is smaller than the sum of its proper divisors (299193487000).

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

204035213000 is a wasteful number, since it uses less digits than its factorization.

204035213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132852 (or 132838 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 204035213000 its reverse (312530402), we get a palindrome (204347743402).

The spelling of 204035213000 in words is "two hundred four billion, thirty-five million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 53 58 100 106 116 125 145 200 212 232 250 265 290 424 500 530 580 725 1000 1060 1160 1325 1450 1537 2120 2650 2900 3074 3625 5300 5800 6148 6625 7250 7685 10600 12296 13250 14500 15370 26500 29000 30740 38425 53000 61480 76850 132749 153700 192125 265498 307400 384250 530996 663745 768500 1061992 1327490 1537000 2654980 3318725 3849721 5309960 6637450 7035697 7699442 13274900 14071394 15398884 16593625 19248605 26549800 28142788 30797768 33187250 35178485 38497210 56285576 66374500 70356970 76994420 96243025 132749000 140713940 153988840 175892425 192486050 204035213 281427880 351784850 384972100 408070426 481215125 703569700 769944200 816140852 879462125 962430250 1020176065 1407139400 1632281704 1758924250 1924860500 2040352130 3517848500 3849721000 4080704260 5100880325 7035697000 8161408520 10201760650 20403521300 25504401625 40807042600 51008803250 102017606500 204035213000