Search a number
-
+
1002020130120 = 233529287936819
BaseRepresentation
bin11101001010011010000…
…11011100110101001000
310112210101111122200001010
432211031003130311020
5112404114123130440
62044153252523520
7132251664401142
oct16451503346510
93483344580033
101002020130120
11356a55271619
121422466205a0
137364a9705c9
14366d8861c92
151b0e8ca3580
hexe94d0dcd48

1002020130120 has 64 divisors (see below), whose sum is σ = 3109717656000. Its totient is φ = 257991388928.

The previous prime is 1002020130119. The next prime is 1002020130157. The reversal of 1002020130120 is 210310202001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1002020130096 and 1002020130105.

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 15 ways as a sum of consecutive naturals, for example, 143964930 + ... + 143971889.

It is an arithmetic number, because the mean of its divisors is an integer number (48589338375).

Almost surely, 21002020130120 is an apocalyptic number.

1002020130120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002020130120 is an abundant number, since it is smaller than the sum of its proper divisors (2107697525880).

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

1002020130120 is a wasteful number, since it uses less digits than its factorization.

1002020130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287936862 (or 287936858 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1002020130120 its reverse (210310202001), we get a palindrome (1212330332121).

The spelling of 1002020130120 in words is "one trillion, two billion, twenty million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 287936819 575873638 863810457 1151747276 1439684095 1727620914 2303494552 2879368190 3455241828 4319052285 5758736380 6910483656 8350167751 8638104570 11517472760 16700335502 17276209140 25050503253 33400671004 34552418280 41750838755 50101006506 66801342008 83501677510 100202013012 125252516265 167003355020 200404026024 250505032530 334006710040 501010065060 1002020130120