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2132431410 = 2353121110867
BaseRepresentation
bin111111100011010…
…0101001000110010
312111121112201222010
41333012211020302
513331400301120
6551333223350
7103562240124
oct17706451062
95447481863
102132431410
119a477a30a
124b6191b56
1327ca34745
141632cd214
15c73217e0
hex7f1a5232

2132431410 has 64 divisors (see below), whose sum is σ = 5308452864. Its totient is φ = 547646400.

The previous prime is 2132431391. The next prime is 2132431459. The reversal of 2132431410 is 141342312.

2132431410 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190797 + ... + 201663.

It is an arithmetic number, because the mean of its divisors is an integer number (82944576).

Almost surely, 22132431410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132431410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654226432).

2132431410 is an abundant number, since it is smaller than the sum of its proper divisors (3176021454).

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

2132431410 is a wasteful number, since it uses less digits than its factorization.

2132431410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11119.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2132431410 is about 46178.2568965092. The cubic root of 2132431410 is about 1287.1377377762.

Adding to 2132431410 its reverse (141342312), we get a palindrome (2273773722).

The spelling of 2132431410 in words is "two billion, one hundred thirty-two million, four hundred thirty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 211 310 422 465 633 930 1055 1266 2110 3165 6330 6541 10867 13082 19623 21734 32601 32705 39246 54335 65202 65410 98115 108670 163005 196230 326010 336877 673754 1010631 1684385 2021262 2292937 3368770 4585874 5053155 6878811 10106310 11464685 13757622 22929370 34394055 68788110 71081047 142162094 213243141 355405235 426486282 710810470 1066215705 2132431410