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120330112100 = 225211437334849
BaseRepresentation
bin111000000010000111…
…0111100110001100100
3102111121000100001011112
41300010032330301210
53432414002041400
6131140123524152
711456615035232
oct1600416746144
9374530301145
10120330112100
1147039236240
121b3a2389658
13b4686c9183
145b77117952
1531e3e61835
hex1c043bcc64

120330112100 has 144 divisors (see below), whose sum is σ = 295480046400. Its totient is φ = 42152140800.

The previous prime is 120330112099. The next prime is 120330112127. The reversal of 120330112100 is 1211033021.

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, 3435476 + ... + 3470324.

Almost surely, 2120330112100 is an apocalyptic number.

120330112100 is a gapful number since it is divisible by the number (10) 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 120330112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147740023200).

120330112100 is an abundant number, since it is smaller than the sum of its proper divisors (175149934300).

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

120330112100 is a wasteful number, since it uses less digits than its factorization.

120330112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34990 (or 34983 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 120330112100 its reverse (1211033021), we get a palindrome (121541145121).

The spelling of 120330112100 in words is "one hundred twenty billion, three hundred thirty million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 43 44 50 55 73 86 100 110 146 172 215 220 275 292 365 430 473 550 730 803 860 946 1075 1100 1460 1606 1825 1892 2150 2365 3139 3212 3650 4015 4300 4730 6278 7300 8030 9460 11825 12556 15695 16060 20075 23650 31390 34529 34849 40150 47300 62780 69058 69698 78475 80300 138116 139396 156950 172645 174245 313900 345290 348490 383339 690580 696980 766678 863225 871225 1498507 1533356 1726450 1742450 1916695 2543977 2997014 3452900 3484900 3833390 5087954 5994028 7492535 7666780 9583475 10175908 12719885 14985070 16483577 19166950 25439770 27983747 29970140 32967154 37462675 38333900 50879540 55967494 63599425 65934308 74925350 82417885 109391011 111934988 127198850 139918735 149850700 164835770 218782022 254397700 279837470 329671540 412089425 437564044 546955055 559674940 699593675 824178850 1093910110 1203301121 1399187350 1648357700 2187820220 2406602242 2734775275 2798374700 4813204484 5469550550 6016505605 10939101100 12033011210 24066022420 30082528025 60165056050 120330112100