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2431021012 = 2271731716111
BaseRepresentation
bin1001000011100110…
…0110111111010100
320021102101122220021
42100321212333110
514434320133022
61041121114524
7114146223550
oct22071467724
96242348807
102431021012
111038280082
1257a188a44
132c985a594
14190c16860
15e36527c7
hex90e66fd4

2431021012 has 48 divisors (see below), whose sum is σ = 5164604928. Its totient is φ = 977425920.

The previous prime is 2431021009. The next prime is 2431021031. The reversal of 2431021012 is 2101201342.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 142837 + ... + 158947.

It is an arithmetic number, because the mean of its divisors is an integer number (107595936).

Almost surely, 22431021012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431021012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582302464).

2431021012 is an abundant number, since it is smaller than the sum of its proper divisors (2733583916).

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

2431021012 is a wasteful number, since it uses less digits than its factorization.

2431021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16456 (or 16454 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2431021012 is about 49305.3852231174. The cubic root of 2431021012 is about 1344.6096925817.

Adding to 2431021012 its reverse (2101201342), we get a palindrome (4532222354).

The spelling of 2431021012 in words is "two billion, four hundred thirty-one million, twenty-one thousand, twelve".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 317 476 634 1268 2219 4438 5389 8876 10778 16111 21556 32222 37723 64444 75446 112777 150892 225554 273887 451108 547774 1095548 1917209 3834418 5107187 7668836 10214374 20428748 35750309 71500618 86822179 143001236 173644358 347288716 607755253 1215510506 2431021012