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30102002303300 = 225219191434919073
BaseRepresentation
bin1101101100000101010110…
…01001111000000101000100
310221120201112022000122111022
412312002223021320011010
512421142400042201200
6144004400254330312
76224540451561524
oct666025311700504
9127521468018438
1030102002303300
1196562075a7274
123461b777b9998
1313a47b6a21535
14760d32305684
1537304ebcd885
hex1b60ab278144

30102002303300 has 144 divisors (see below), whose sum is σ = 69138824832000. Its totient is φ = 11344147660800.

The previous prime is 30102002303291. The next prime is 30102002303327. The reversal of 30102002303300 is 330320020103.

It is a super-2 number, since 2×301020023033002 (a number of 28 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1578242564 + ... + 1578261636.

It is an arithmetic number, because the mean of its divisors is an integer number (480130728000).

Almost surely, 230102002303300 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 30102002303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34569412416000).

30102002303300 is an abundant number, since it is smaller than the sum of its proper divisors (39036822528700).

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

30102002303300 is a wasteful number, since it uses less digits than its factorization.

30102002303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23646 (or 23639 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 30102002303300 its reverse (330320020103), we get a palindrome (30432322323403).

The spelling of 30102002303300 in words is "thirty trillion, one hundred two billion, two million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 191 380 382 475 764 950 955 1900 1910 3629 3820 4349 4775 7258 8698 9550 14516 17396 18145 19073 19100 21745 36290 38146 43490 72580 76292 82631 86980 90725 95365 108725 165262 181450 190730 217450 330524 362387 362900 381460 413155 434900 476825 724774 826310 830659 953650 1449548 1652620 1661318 1811935 1907300 2065775 3322636 3623870 3642943 4131550 4153295 7247740 7285886 8263100 8306590 9059675 14571772 15782521 16613180 18119350 18214715 20766475 31565042 36238700 36429430 41532950 63130084 69215917 72858860 78912605 82948477 83065900 91073575 138431834 157825210 165896954 182147150 276863668 315650420 331793908 346079585 364294300 394563025 414742385 692159170 789126050 829484770 1384318340 1576021063 1578252100 1658969540 1730397925 2073711925 3152042126 3460795850 4147423850 6304084252 6921591700 7880105315 8294847700 15760210630 15843159107 31520421260 31686318214 39400526575 63372636428 78801053150 79215795535 157602106300 158431591070 301020023033 316863182140 396078977675 602040046066 792157955350 1204080092132 1505100115165 1584315910700 3010200230330 6020400460660 7525500575825 15051001151650 30102002303300