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2132031420 = 2232519623401
BaseRepresentation
bin111111100010100…
…0011011110111100
312111120210102021200
41333011003132330
513331300001140
6551320455500
7103555653021
oct17705033674
95446712250
102132031420
119a4526842
124b601a590
1327c92466c
14163227548
15c7293030
hex7f1437bc

2132031420 has 72 divisors (see below), whose sum is σ = 6807549840. Its totient is φ = 538617600.

The previous prime is 2132031409. The next prime is 2132031431. The reversal of 2132031420 is 241302312.

2132031420 is a `hidden beast` number, since 213 + 2 + 0 + 31 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (2132031409) and next prime (2132031431).

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 = 2132031393 and 2132031402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308281 + ... + 315120.

Almost surely, 22132031420 is an apocalyptic number.

2132031420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132031420 is an abundant number, since it is smaller than the sum of its proper divisors (4675518420).

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

2132031420 is a wasteful number, since it uses less digits than its factorization.

2132031420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623435 (or 623430 counting only the distinct ones).

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

The square root of 2132031420 is about 46173.9257590255. The cubic root of 2132031420 is about 1287.0572546220.

Adding to 2132031420 its reverse (241302312), we get a palindrome (2373333732).

The spelling of 2132031420 in words is "two billion, one hundred thirty-two million, thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 623401 1246802 1870203 2493604 3117005 3740406 5610609 6234010 7480812 9351015 11221218 11844619 12468020 18702030 22442436 23689238 28053045 35533857 37404060 47378476 56106090 59223095 71067714 106601571 112212180 118446190 142135428 177669285 213203142 236892380 355338570 426406284 533007855 710677140 1066015710 2132031420