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30210431102300 = 22523719387748239
BaseRepresentation
bin1101101111001111010100…
…00000111010110101011100
310221222002101212221100021202
412313213222000322311130
512424431430330233200
6144130251440015032
76235426434266201
oct667475200726534
9127862355840252
1030210431102300
119698198855859
12347ab98301478
1313b1aa6859ab7
1476629a96dca8
15375c98db51d5
hex1b79ea03ad5c

30210431102300 has 144 divisors (see below), whose sum is σ = 67755862097280. Its totient is φ = 11683073802240.

The previous prime is 30210431102297. The next prime is 30210431102309. The reversal of 30210431102300 is 320113401203.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30210431102309) 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, 626241581 + ... + 626289819.

It is an arithmetic number, because the mean of its divisors is an integer number (470526820120).

Almost surely, 230210431102300 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 30210431102300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33877931048640).

30210431102300 is an abundant number, since it is smaller than the sum of its proper divisors (37545430994980).

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

30210431102300 is a wasteful number, since it uses less digits than its factorization.

30210431102300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49360 (or 49353 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 30210431102300 its reverse (320113401203), we get a palindrome (30530544503503).

The spelling of 30210431102300 in words is "thirty trillion, two hundred ten billion, four hundred thirty-one million, one hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 193 370 386 740 772 877 925 965 1754 1850 1930 3508 3700 3860 4385 4825 7141 8770 9650 14282 17540 19300 21925 28564 32449 35705 43850 48239 64898 71410 87700 96478 129796 142820 162245 169261 178525 192956 241195 324490 338522 357050 482390 648980 677044 714100 811225 846305 964780 1205975 1622450 1692610 1784843 2411950 3244900 3385220 3569686 4231525 4823900 6262657 7139372 8463050 8924215 9310127 12525314 16926100 17848430 18620254 25050628 31313285 35696860 37240508 42305603 44621075 46550635 62626570 84611206 89242150 93101270 125253140 156566425 169222412 178484300 186202540 211528015 232753175 313132850 344474699 423056030 465506350 626265700 688949398 846112060 931012700 1057640075 1377898796 1565307311 1722373495 2115280150 3130614622 3444746990 4230560300 6261229244 6889493980 7826536555 8164981379 8611867475 15653073110 16329962758 17223734950 31306146220 32659925516 34447469900 39132682775 40824906895 78265365550 81649813790 156530731100 163299627580 204124534475 302104311023 408249068950 604208622046 816498137900 1208417244092 1510521555115 3021043110230 6042086220460 7552607775575 15105215551150 30210431102300