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2131430600 = 235213819781
BaseRepresentation
bin111111100001011…
…0000110011001000
312111112122220010002
41333002300303020
513331121234400
6551255542132
7103550601245
oct17702606310
95445586102
102131430600
119a41563a2
124b598a948
1327c774050
1416310c5cc
15c71c4ed5
hex7f0b0cc8

2131430600 has 48 divisors (see below), whose sum is σ = 5336780820. Its totient is φ = 786988800.

The previous prime is 2131430597. The next prime is 2131430617. The reversal of 2131430600 is 60341312.

It can be written as a sum of positive squares in 6 ways, for example, as 22600516 + 2108830084 = 4754^2 + 45922^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 407291 + ... + 412490.

Almost surely, 22131430600 is an apocalyptic number.

2131430600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131430600 is an abundant number, since it is smaller than the sum of its proper divisors (3205350220).

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

2131430600 is a wasteful number, since it uses less digits than its factorization.

2131430600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819810 (or 819801 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2131430600 is about 46167.4192477769. The cubic root of 2131430600 is about 1286.9363429595.

Adding to 2131430600 its reverse (60341312), we get a palindrome (2191771912).

The spelling of 2131430600 in words is "two billion, one hundred thirty-one million, four hundred thirty thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 819781 1639562 3279124 4098905 6558248 8197810 10657153 16395620 20494525 21314306 32791240 40989050 42628612 53285765 81978100 85257224 106571530 163956200 213143060 266428825 426286120 532857650 1065715300 2131430600