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1331200020 = 223543515969
BaseRepresentation
bin100111101011000…
…1000000000010100
310102202212222010110
41033112020000110
510211241400040
6340032123020
744663004423
oct11726100024
93382788113
101331200020
11623478307
12311996470
13182a40227
14c8b232ba
157bd04980
hex4f588014

1331200020 has 48 divisors (see below), whose sum is σ = 3814050240. Its totient is φ = 346730496.

The previous prime is 1331200009. The next prime is 1331200027. The reversal of 1331200020 is 200021331.

It is a happy number.

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 = 1331199969 and 1331200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331200027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255405 + ... + 260564.

It is an arithmetic number, because the mean of its divisors is an integer number (79459380).

Almost surely, 21331200020 is an apocalyptic number.

1331200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331200020 is an abundant number, since it is smaller than the sum of its proper divisors (2482850220).

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

1331200020 is a wasteful number, since it uses less digits than its factorization.

1331200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516024 (or 516022 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1331200020 is about 36485.6138772530. The cubic root of 1331200020 is about 1100.0550991684.

Adding to 1331200020 its reverse (200021331), we get a palindrome (1531221351).

Subtracting from 1331200020 its reverse (200021331), we obtain a square (1131178689 = 336332).

The spelling of 1331200020 in words is "one billion, three hundred thirty-one million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 2580 515969 1031938 1547907 2063876 2579845 3095814 5159690 6191628 7739535 10319380 15479070 22186667 30958140 44373334 66560001 88746668 110933335 133120002 221866670 266240004 332800005 443733340 665600010 1331200020