Search a number
-
+
2101412432 = 247217157669
BaseRepresentation
bin111110101000001…
…0000001001010000
312102110011210221002
41331100100021100
513300430144212
6544304321132
7103034465600
oct17520201120
95373153832
102101412432
11989213299
124a79131a8
13276493a12
1415d136c00
15c4745ac2
hex7d410250

2101412432 has 60 divisors (see below), whose sum is σ = 5014852020. Its totient is φ = 847623168.

The previous prime is 2101412429. The next prime is 2101412461. The reversal of 2101412432 is 2342141012.

It can be written as a sum of positive squares in 2 ways, for example, as 1015314496 + 1086097936 = 31864^2 + 32956^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65507 + ... + 92162.

It is an arithmetic number, because the mean of its divisors is an integer number (83580867).

Almost surely, 22101412432 is an apocalyptic number.

It is an amenable number.

2101412432 is an abundant number, since it is smaller than the sum of its proper divisors (2913439588).

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

2101412432 is a wasteful number, since it uses less digits than its factorization.

2101412432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157708 (or 157695 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 2101412432 is about 45841.1652556957. The cubic root of 2101412432 is about 1280.8662008023.

Adding to 2101412432 its reverse (2342141012), we get a palindrome (4443553444).

The spelling of 2101412432 in words is "two billion, one hundred one million, four hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 3332 6664 13328 157669 315338 630676 1103683 1261352 2207366 2522704 2680373 4414732 5360746 7725781 8829464 10721492 15451562 17658928 18762611 21442984 30903124 37525222 42885968 61806248 75050444 123612496 131338277 150100888 262676554 300201776 525353108 1050706216 2101412432