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200302034241300 = 223524129023561097
BaseRepresentation
bin101101100010110001110011…
…100110010100011100010100
3222021012200120011100020202220
4231202301303212110130110
5202223222031231210200
61550001252331302340
760122226064103625
oct5542616346243424
9867180504306686
10200302034241300
1158905685514202
121a56ba61baa9b0
13879c529693464
143766954db5a4c
1518254b01264a0
hexb62c73994714

200302034241300 has 144 divisors (see below), whose sum is σ = 593697201280512. Its totient is φ = 52109209958400.

The previous prime is 200302034241247. The next prime is 200302034241311. The reversal of 200302034241300 is 3142430203002.

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 47 ways as a sum of consecutive naturals, for example, 356702352 + ... + 357263448.

Almost surely, 2200302034241300 is an apocalyptic number.

200302034241300 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 200302034241300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296848600640256).

200302034241300 is an abundant number, since it is smaller than the sum of its proper divisors (393395167039212).

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

200302034241300 is a wasteful number, since it uses less digits than its factorization.

200302034241300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590178 (or 590171 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 200302034241300 its reverse (3142430203002), we get a palindrome (203444464444302).

The spelling of 200302034241300 in words is "two hundred trillion, three hundred two billion, thirty-four million, two hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 29023 58046 87069 116092 145115 174138 290230 348276 435345 561097 580460 725575 870690 1122194 1189943 1451150 1683291 1741380 2176725 2244388 2379886 2805485 2902300 3366582 3569829 4353450 4759772 5610970 5949715 6733164 7139658 8416455 8706900 11221940 11899430 14027425 14279316 16832910 17849145 23004977 23798860 28054850 29748575 33665820 35698290 42082275 46009954 56109700 59497150 69014931 71396580 84164550 89245725 92019908 115024885 118994300 138029862 168329100 178491450 230049770 276059724 345074655 356982900 460099540 575124425 690149310 1150248850 1380298620 1725373275 2300497700 3450746550 6901493100 16284718231 32569436462 48854154693 65138872924 81423591155 97708309386 162847182310 195416618772 244270773465 325694364620 407117955775 488541546930 667673447471 814235911550 977083093860 1221353867325 1335346894942 1628471823100 2003020342413 2442707734650 2670693789884 3338367237355 4006040684826 4885415469300 6676734474710 8012081369652 10015101712065 13353468949420 16691836186775 20030203424130 33383672373550 40060406848260 50075508560325 66767344747100 100151017120650 200302034241300