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1331400420 = 2232571056667
BaseRepresentation
bin100111101011011…
…1000111011100100
310102210021011000200
41033112320323210
510211314303140
6340040310500
744664500610
oct11726707344
93383234020
101331400420
116235a4929
12311a72430
13182ab04cc
14c8b76340
157bd44030
hex4f5b8ee4

1331400420 has 72 divisors (see below), whose sum is σ = 4615525824. Its totient is φ = 304319808.

The previous prime is 1331400419. The next prime is 1331400479. The reversal of 1331400420 is 240041331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1331400393 and 1331400402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 527074 + ... + 529593.

Almost surely, 21331400420 is an apocalyptic number.

1331400420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331400420 is an abundant number, since it is smaller than the sum of its proper divisors (3284125404).

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

1331400420 is a wasteful number, since it uses less digits than its factorization.

1331400420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056689 (or 1056684 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1331400420 is about 36488.3600618060. The cubic root of 1331400420 is about 1100.1102974800.

Adding to 1331400420 its reverse (240041331), we get a palindrome (1571441751).

The spelling of 1331400420 in words is "one billion, three hundred thirty-one million, four hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1056667 2113334 3170001 4226668 5283335 6340002 7396669 9510003 10566670 12680004 14793338 15850005 19020006 21133340 22190007 29586676 31700010 36983345 38040012 44380014 47550015 63400020 66570021 73966690 88760028 95100030 110950035 133140042 147933380 190200060 221900070 266280084 332850105 443800140 665700210 1331400420