Search a number
-
+
13200232023020 = 2257894311054303
BaseRepresentation
bin1100000000010110101100…
…1001000000001111101100
31201201221002212101012112002
43000011223021000033230
53212233033344214040
644024034115431432
72531454024615350
oct300055311001754
951657085335462
1013200232023020
11422a206936259
121592362bb5578
13749a13094603
14338c74c63460
1517d57d18da15
hexc016b2403ec

13200232023020 has 48 divisors (see below), whose sum is σ = 31680941150208. Its totient is φ = 4525738937280.

The previous prime is 13200232023007. The next prime is 13200232023059. The reversal of 13200232023020 is 2032023200231.

It is a super-2 number, since 2×132002320230202 (a number of 27 digits) contains 22 as substring.

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 = 13200232022983 and 13200232023001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11993189 + ... + 13047491.

It is an arithmetic number, because the mean of its divisors is an integer number (660019607296).

Almost surely, 213200232023020 is an apocalyptic number.

13200232023020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13200232023020 is an abundant number, since it is smaller than the sum of its proper divisors (18480709127188).

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

13200232023020 is a wasteful number, since it uses less digits than its factorization.

13200232023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143750 (or 1143748 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 13200232023020 its reverse (2032023200231), we get a palindrome (15232255223251).

The spelling of 13200232023020 in words is "thirteen trillion, two hundred billion, two hundred thirty-two million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 89431 178862 357724 447155 626017 894310 1054303 1252034 1788620 2108606 2504068 3130085 4217212 5271515 6260170 7380121 10543030 12520340 14760242 21086060 29520484 36900605 73801210 147602420 94287371593 188574743186 377149486372 471436857965 660011601151 942873715930 1320023202302 1885747431860 2640046404604 3300058005755 6600116011510 13200232023020