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30104051442200 = 23521815931402367
BaseRepresentation
bin1101101100001001001010…
…10010101110001000011000
310221120220211002211200121122
412312010211102232020120
512421211044132122300
6144005335454424412
76224642313143441
oct666044522561030
9127526732750548
1030104051442200
11965706925669a
123462449b02108
1313a4a52412068
147610885122c8
1537311ea4ac85
hex1b61254ae218

30104051442200 has 96 divisors (see below), whose sum is σ = 70497347880960. Its totient is φ = 11954889676800.

The previous prime is 30104051442139. The next prime is 30104051442217. The reversal of 30104051442200 is 224415040103.

It is a self number, because there is not a number n which added to its sum of digits gives 30104051442200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20765417 + ... + 22167783.

It is an arithmetic number, because the mean of its divisors is an integer number (734347373760).

Almost surely, 230104051442200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30104051442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35248673940480).

30104051442200 is an abundant number, since it is smaller than the sum of its proper divisors (40393296438760).

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

30104051442200 is a wasteful number, since it uses less digits than its factorization.

30104051442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403157 (or 1403148 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 30104051442200 its reverse (224415040103), we get a palindrome (30328466482303).

The spelling of 30104051442200 in words is "thirty trillion, one hundred four billion, fifty-one million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 593 724 905 1186 1448 1810 2372 2965 3620 4525 4744 5930 7240 9050 11860 14825 18100 23720 29650 36200 59300 107333 118600 214666 429332 536665 858664 1073330 1402367 2146660 2683325 2804734 4293320 5366650 5609468 7011835 10733300 11218936 14023670 21466600 28047340 35059175 56094680 70118350 140236700 253828427 280473400 507656854 831603631 1015313708 1269142135 1663207262 2030627416 2538284270 3326414524 4158018155 5076568540 6345710675 6652829048 8316036310 10153137080 12691421350 16632072620 20790090775 25382842700 33264145240 41580181550 50765685400 83160363100 150520257211 166320726200 301040514422 602081028844 752601286055 1204162057688 1505202572110 3010405144220 3763006430275 6020810288440 7526012860550 15052025721100 30104051442200