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30800429496300 = 223521275279153137
BaseRepresentation
bin1110000000011010010001…
…01010001011011111101100
311001001111021220000011122010
413000031020222023133230
513014113234422340200
6145301304425121220
76326154233013102
oct700151052133754
9131044256004563
1030800429496300
1198a5430537772
1235553b5629210
131425611386b39
14786a6a793c72
153862cab59150
hex1c0348a8b7ec

30800429496300 has 144 divisors (see below), whose sum is σ = 89835210178560. Its totient is φ = 8147178224640.

The previous prime is 30800429496299. The next prime is 30800429496301. The reversal of 30800429496300 is 369492400803.

30800429496300 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (30800429496299) and next prime (30800429496301).

It is a self number, because there is not a number n which added to its sum of digits gives 30800429496300.

It is not an unprimeable number, because it can be changed into a prime (30800429496301) 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, 201053332 + ... + 201206468.

It is an arithmetic number, because the mean of its divisors is an integer number (623855626240).

Almost surely, 230800429496300 is an apocalyptic number.

30800429496300 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 30800429496300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44917605089280).

30800429496300 is an abundant number, since it is smaller than the sum of its proper divisors (59034780682260).

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

30800429496300 is a wasteful number, since it uses less digits than its factorization.

30800429496300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158560 (or 158553 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 30800429496300 in words is "thirty trillion, eight hundred billion, four hundred twenty-nine million, four hundred ninety-six thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 127 150 254 300 381 508 635 762 1270 1524 1905 2540 3175 3810 5279 6350 7620 9525 10558 12700 15837 19050 21116 26395 31674 38100 52790 63348 79185 105580 131975 153137 158370 263950 306274 316740 395925 459411 527900 612548 670433 765685 791850 918822 1340866 1531370 1583700 1837644 2011299 2297055 2681732 3062740 3352165 3828425 4022598 4594110 6704330 7656850 8045196 9188220 10056495 11485275 13408660 15313700 16760825 19448399 20112990 22970550 33521650 38896798 40225980 45941100 50282475 58345197 67043300 77793596 97241995 100564950 116690394 194483990 201129900 233380788 291725985 388967980 486209975 583451970 808410223 972419950 1166903940 1458629925 1616820446 1944839900 2425230669 2917259850 3233640892 4042051115 4850461338 5834519700 8084102230 9700922676 12126153345 16168204460 20210255575 24252306690 40420511150 48504613380 60630766725 80841022300 102668098321 121261533450 205336196642 242523066900 308004294963 410672393284 513340491605 616008589926 1026680983210 1232017179852 1540021474815 2053361966420 2566702458025 3080042949630 5133404916050 6160085899260 7700107374075 10266809832100 15400214748150 30800429496300