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2132431002 = 233134436857
BaseRepresentation
bin111111100011010…
…0101000010011010
312111121112201102000
41333012211002122
513331400243002
6551333221430
7103562236002
oct17706450232
95447481360
102132431002
119a4779a79
124b6191876
1327ca344c0
141632cd002
15c732161c
hex7f1a509a

2132431002 has 64 divisors (see below), whose sum is σ = 5115519360. Its totient is φ = 654556032.

The previous prime is 2132431001. The next prime is 2132431013. The reversal of 2132431002 is 2001342312.

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

It is not an unprimeable number, because it can be changed into a prime (2132431001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307558 + ... + 314414.

It is an arithmetic number, because the mean of its divisors is an integer number (79929990).

Almost surely, 22132431002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132431002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557759680).

2132431002 is an abundant number, since it is smaller than the sum of its proper divisors (2983088358).

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

2132431002 is a wasteful number, since it uses less digits than its factorization.

2132431002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7324 (or 7318 counting only the distinct ones).

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

The square root of 2132431002 is about 46178.2524788455. The cubic root of 2132431002 is about 1287.1376556864.

Adding to 2132431002 its reverse (2001342312), we get a palindrome (4133773314).

It can be divided in two parts, 21324 and 31002, that added together give a triangular number (52326 = T323).

The spelling of 2132431002 in words is "two billion, one hundred thirty-two million, four hundred thirty-one thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 443 702 886 1329 2658 3987 5759 6857 7974 11518 11961 13714 17277 20571 23922 34554 41142 51831 61713 89141 103662 123426 155493 178282 185139 267423 310986 370278 534846 802269 1604538 2406807 3037651 4813614 6075302 9112953 18225906 27338859 39489463 54677718 78978926 82016577 118468389 164033154 236936778 355405167 710810334 1066215501 2132431002