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30010322100 = 223521110784991
BaseRepresentation
bin11011111100110000…
…010010110010110100
32212110110201022122010
4123330300102302310
5442430120301400
621441521204220
72111453346303
oct337460226264
985413638563
1030010322100
11118000541a0
125996490670
132aa356a455
14164997443a
15ba99b7450
hex6fcc12cb4

30010322100 has 144 divisors (see below), whose sum is σ = 95609880576. Its totient is φ = 7207152000.

The previous prime is 30010322087. The next prime is 30010322107. The reversal of 30010322100 is 122301003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30010322107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310605 + ... + 395595.

It is an arithmetic number, because the mean of its divisors is an integer number (663957504).

Almost surely, 230010322100 is an apocalyptic number.

30010322100 is a gapful number since it is divisible by the number (30) 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 30010322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47804940288).

30010322100 is an abundant number, since it is smaller than the sum of its proper divisors (65599558476).

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

30010322100 is a wasteful number, since it uses less digits than its factorization.

30010322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85126 (or 85119 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 30010322100 its reverse (122301003), we get a palindrome (30132623103).

The spelling of 30010322100 in words is "thirty billion, ten million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 107 110 132 150 165 214 220 275 300 321 330 428 535 550 642 660 825 1070 1100 1177 1284 1605 1650 2140 2354 2675 3210 3300 3531 4708 5350 5885 6420 7062 8025 10700 11770 14124 16050 17655 23540 29425 32100 35310 58850 70620 84991 88275 117700 169982 176550 254973 339964 353100 424955 509946 849910 934901 1019892 1274865 1699820 1869802 2124775 2549730 2804703 3739604 4249550 4674505 5099460 5609406 6374325 8499100 9094037 9349010 11218812 12748650 14023515 18188074 18698020 23372525 25497300 27282111 28047030 36376148 45470185 46745050 54564222 56094060 70117575 90940370 93490100 100034407 109128444 136410555 140235150 181880740 200068814 227350925 272821110 280470300 300103221 400137628 454701850 500172035 545642220 600206442 682052775 909403700 1000344070 1200412884 1364105550 1500516105 2000688140 2500860175 2728211100 3001032210 5001720350 6002064420 7502580525 10003440700 15005161050 30010322100