Search a number
-
+
13102202132120 = 2351733613524047
BaseRepresentation
bin1011111010101001100000…
…0110101001011010011000
31201101120001222211202220002
42332222120012221122120
53204131302221211440
643511022450552132
72521413532366223
oct276523006513230
951346058752802
1013102202132120
1141a16815912a2
121577364b98648
137406bc794aca
1433421571a5ba
1517ac41db0115
hexbea981a9698

13102202132120 has 64 divisors (see below), whose sum is σ = 29658622331520. Its totient is φ = 5209134626304.

The previous prime is 13102202132093. The next prime is 13102202132147. The reversal of 13102202132120 is 2123120220131.

It is an interprime number because it is at equal distance from previous prime (13102202132093) and next prime (13102202132147).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13102202132092 and 13102202132101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24739937 + ... + 25263983.

It is an arithmetic number, because the mean of its divisors is an integer number (463415973930).

Almost surely, 213102202132120 is an apocalyptic number.

13102202132120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13102202132120 is an abundant number, since it is smaller than the sum of its proper divisors (16556420199400).

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

13102202132120 is a wasteful number, since it uses less digits than its factorization.

13102202132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527844 (or 527840 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 13102202132120 its reverse (2123120220131), we get a palindrome (15225322352251).

The spelling of 13102202132120 in words is "thirteen trillion, one hundred two billion, two hundred two million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 1384 1730 3460 3613 6920 7226 14452 18065 28904 36130 72260 144520 524047 625049 1048094 1250098 2096188 2500196 2620235 3125245 4192376 5000392 5240470 6250490 10480940 12500980 20961880 25001960 90660131 181320262 362640524 453300655 725281048 906601310 1813202620 1893381811 3626405240 3786763622 7573527244 9466909055 15147054488 18933818110 37867636220 75735272440 327555053303 655110106606 1310220213212 1637775266515 2620440426424 3275550533030 6551101066060 13102202132120