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1330102220020 = 2257174889114311
BaseRepresentation
bin10011010110110000010…
…001010011010011110100
311201011020002222200002221
4103112300101103103310
5133243022132020040
62455012430412124
7165045113216650
oct23266021232364
94634202880087
101330102220020
11473103033682
12195948661044
13985746cc652
144853d401a60
15248eb9e174a
hex135b04534f4

1330102220020 has 96 divisors (see below), whose sum is σ = 3380745392640. Its totient is φ = 429117911040.

The previous prime is 1330102219993. The next prime is 1330102220039. The reversal of 1330102220020 is 200222010331.

It is a junction number, because it is equal to n+sod(n) for n = 1330102219976 and 1330102220003.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11578665 + ... + 11692975.

It is an arithmetic number, because the mean of its divisors is an integer number (35216097840).

Almost surely, 21330102220020 is an apocalyptic number.

1330102220020 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 1330102220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690372696320).

1330102220020 is an abundant number, since it is smaller than the sum of its proper divisors (2050643172620).

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

1330102220020 is a wasteful number, since it uses less digits than its factorization.

1330102220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119233 (or 119231 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1330102220020 its reverse (200222010331), we get a palindrome (1530324230351).

The spelling of 1330102220020 in words is "one trillion, three hundred thirty billion, one hundred two million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 4889 9778 19556 24445 34223 48890 68446 83113 97780 114311 136892 166226 171115 228622 332452 342230 415565 457244 571555 581791 684460 800177 831130 1143110 1163582 1600354 1662260 1943287 2286220 2327164 2908955 3200708 3886574 4000885 5817910 7773148 8001770 9716435 11635820 13603009 16003540 19432870 27206018 38865740 54412036 68015045 136030090 272060180 558866479 1117732958 2235465916 2794332395 3912065353 5588664790 7824130706 9500730143 11177329580 15648261412 19001460286 19560326765 38002920572 39120653530 47503650715 66505111001 78241307060 95007301430 133010222002 190014602860 266020444004 332525555005 665051110010 1330102220020