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30122002003100 = 225271187130727737
BaseRepresentation
bin1101101100101010100110…
…01110101011010010011100
310221122122011002222122221112
412312111103032223102130
512422004330003044400
6144021505013321152
76226146201325310
oct666252316532234
9127578132878845
1030122002003100
11966373a940797
123465a196361b8
1313a6653322627
14761cac54db40
153738208da835
hex1b65533ab49c

30122002003100 has 144 divisors (see below), whose sum is σ = 74825400367872. Its totient is φ = 10310576202240.

The previous prime is 30122002003099. The next prime is 30122002003153. The reversal of 30122002003100 is 130020022103.

It is a happy number.

It is a super-2 number, since 2×301220020031002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085972432 + ... + 1086000168.

It is an arithmetic number, because the mean of its divisors is an integer number (519620835888).

Almost surely, 230122002003100 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 30122002003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37412700183936).

30122002003100 is an abundant number, since it is smaller than the sum of its proper divisors (44703398364772).

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

30122002003100 is a wasteful number, since it uses less digits than its factorization.

30122002003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30252 (or 30245 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 30122002003100 its reverse (130020022103), we get a palindrome (30252022025203).

The spelling of 30122002003100 in words is "thirty trillion, one hundred twenty-two billion, two million, three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1187 1307 2374 2614 4748 5228 5935 6535 8309 9149 11870 13070 16618 18298 23740 26140 27737 29675 32675 33236 36596 41545 45745 55474 59350 65350 83090 91490 110948 118700 130700 138685 166180 182980 194159 207725 228725 277370 388318 415450 457450 554740 693425 776636 830900 914900 970795 1386850 1551409 1941590 2773700 3102818 3883180 4853975 6205636 7757045 9707950 10859863 15514090 19415900 21719726 31028180 32923819 36252259 38785225 43439452 54299315 65847638 72504518 77570450 108598630 131695276 145009036 155140900 164619095 181261295 217197260 230466733 253765813 271496575 329238190 362522590 460933466 507531626 542993150 658476380 725045180 823095475 906306475 921866932 1015063252 1085986300 1152333665 1268829065 1646190950 1812612950 2304667330 2537658130 3292381900 3625225900 4609334660 5075316260 5761668325 6344145325 11523336650 12688290650 23046673300 25376581300 43031431433 86062862866 172125725732 215157157165 301220020031 430314314330 602440040062 860628628660 1075785785825 1204880080124 1506100100155 2151571571650 3012200200310 4303143143300 6024400400620 7530500500775 15061001001550 30122002003100