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500213430313000 = 235310316329794117
BaseRepresentation
bin111000110111100010000001…
…1110100110110000000101000
32102121002221022000100220211221
41301233010003310312000220
51011030444101130004000
64531510513314031424
7210235141053612235
oct16157040364660050
92377087260326757
10500213430313000
111354243629689a8
1248128869878574
1318615c0227a721
148b746600bc78c
153cc6a74e7461a
hex1c6f103d36028

500213430313000 has 128 divisors (see below), whose sum is σ = 1189114235262720. Its totient is φ = 196927189113600.

The previous prime is 500213430312991. The next prime is 500213430313027. The reversal of 500213430313000 is 313034312005.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1891942 + ... + 31686058.

It is an arithmetic number, because the mean of its divisors is an integer number (9289954962990).

Almost surely, 2500213430313000 is an apocalyptic number.

500213430313000 is a gapful number since it is divisible by the number (50) 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 500213430313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594557117631360).

500213430313000 is an abundant number, since it is smaller than the sum of its proper divisors (688900804949720).

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

500213430313000 is a wasteful number, since it uses less digits than its factorization.

500213430313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29794404 (or 29794390 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 500213430313000 its reverse (313034312005), we get a palindrome (500526464625005).

The spelling of 500213430313000 in words is "five hundred trillion, two hundred thirteen billion, four hundred thirty million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 125 163 200 206 250 326 412 500 515 652 815 824 1000 1030 1304 1630 2060 2575 3260 4075 4120 5150 6520 8150 10300 12875 16300 16789 20375 20600 25750 32600 33578 40750 51500 67156 81500 83945 103000 134312 163000 167890 335780 419725 671560 839450 1678900 2098625 3357800 4197250 8394500 16789000 29794117 59588234 119176468 148970585 238352936 297941170 595882340 744852925 1191764680 1489705850 2979411700 3068794051 3724264625 4856441071 5958823400 6137588102 7448529250 9712882142 12275176204 14897058500 15343970255 19425764284 24282205355 24550352408 29794117000 30687940510 38851528568 48564410710 61375881020 76719851275 97128821420 121411026775 122751762040 153439702550 194257642840 242822053550 306879405100 383599256375 485644107100 500213430313 607055133875 613758810200 767198512750 971288214200 1000426860626 1214110267750 1534397025500 2000853721252 2428220535500 2501067151565 3068794051000 4001707442504 4856441071000 5002134303130 10004268606260 12505335757825 20008537212520 25010671515650 50021343031300 62526678789125 100042686062600 125053357578250 250106715156500 500213430313000