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200303213000 = 23531181122453
BaseRepresentation
bin1011101010001100000…
…0000111100111001000
3201011000110211111112112
42322203000013213020
511240210110304000
6232003521001452
720320462134632
oct2724300074710
9634013744475
10200303213000
1177a47a3a660
12329a1183288
1315b720a3557
1499a248da52
155324dba235
hex2ea30079c8

200303213000 has 128 divisors (see below), whose sum is σ = 511972755840. Its totient is φ = 72744480000.

The previous prime is 200303212961. The next prime is 200303213003. The reversal of 200303213000 is 312303002.

It is not an unprimeable number, because it can be changed into a prime (200303213003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8909774 + ... + 8932226.

It is an arithmetic number, because the mean of its divisors is an integer number (3999787155).

Almost surely, 2200303213000 is an apocalyptic number.

200303213000 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 200303213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255986377920).

200303213000 is an abundant number, since it is smaller than the sum of its proper divisors (311669542840).

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

200303213000 is a wasteful number, since it uses less digits than its factorization.

200303213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23296 (or 23282 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 200303213000 its reverse (312303002), we get a palindrome (200615516002).

The spelling of 200303213000 in words is "two hundred billion, three hundred three million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 811 1000 1100 1375 1622 2200 2750 3244 4055 5500 6488 8110 8921 11000 16220 17842 20275 22453 32440 35684 40550 44605 44906 71368 81100 89210 89812 101375 112265 162200 178420 179624 202750 223025 224530 246983 356840 405500 446050 449060 493966 561325 811000 892100 898120 987932 1115125 1122650 1234915 1784200 1975864 2230250 2245300 2469830 2806625 4460500 4490600 4939660 5613250 6174575 8921000 9879320 11226500 12349150 18209383 22453000 24698300 30872875 36418766 49396600 61745750 72837532 91046915 123491500 145675064 182093830 200303213 246983000 364187660 400606426 455234575 728375320 801212852 910469150 1001516065 1602425704 1820938300 2003032130 2276172875 3641876600 4006064260 4552345750 5007580325 8012128520 9104691500 10015160650 18209383000 20030321300 25037901625 40060642600 50075803250 100151606500 200303213000