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2131545420 = 2232534933931
BaseRepresentation
bin111111100001100…
…1100110101001100
312111112212201121200
41333003030311030
513331133423140
6551302225500
7103551560064
oct17703146514
95445781550
102131545420
119a4224694
124b5a25290
1327c7b43a4
1416313c3a4
15c71e9030
hex7f0ccd4c

2131545420 has 72 divisors (see below), whose sum is σ = 6484405200. Its totient is φ = 566766720.

The previous prime is 2131545413. The next prime is 2131545431. The reversal of 2131545420 is 245451312.

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 23 ways as a sum of consecutive naturals, for example, 45855 + ... + 79785.

Almost surely, 22131545420 is an apocalyptic number.

2131545420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131545420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3242202600).

2131545420 is an abundant number, since it is smaller than the sum of its proper divisors (4352859780).

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

2131545420 is a wasteful number, since it uses less digits than its factorization.

2131545420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34295 (or 34290 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2131545420 is about 46168.6627486654. The cubic root of 2131545420 is about 1286.9594515980.

Adding to 2131545420 its reverse (245451312), we get a palindrome (2376996732).

The spelling of 2131545420 in words is "two billion, one hundred thirty-one million, five hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 349 698 1047 1396 1745 2094 3141 3490 4188 5235 6282 6980 10470 12564 15705 20940 31410 33931 62820 67862 101793 135724 169655 203586 305379 339310 407172 508965 610758 678620 1017930 1221516 1526895 2035860 3053790 6107580 11841919 23683838 35525757 47367676 59209595 71051514 106577271 118419190 142103028 177628785 213154542 236838380 355257570 426309084 532886355 710515140 1065772710 2131545420