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4212132000 = 25353351011
BaseRepresentation
bin1111101100010000…
…0000100010100000
3101212112212110211220
43323010000202200
532111301211000
61533544335040
7206244350136
oct37304004240
911775773756
104212132000
11187170312a
12996774480
13521865acb
142bd5b3756
15199bc91a0
hexfb1008a0

4212132000 has 96 divisors (see below), whose sum is σ = 13798983744. Its totient is φ = 1123232000.

The previous prime is 4212131971. The next prime is 4212132031. The reversal of 4212132000 is 2312124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 163506 + ... + 187505.

It is an arithmetic number, because the mean of its divisors is an integer number (143739414).

Almost surely, 24212132000 is an apocalyptic number.

4212132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4212132000 is an abundant number, since it is smaller than the sum of its proper divisors (9586851744).

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

4212132000 is a wasteful number, since it uses less digits than its factorization.

4212132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351039 (or 351021 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4212132000 is about 64900.9399007441. The cubic root of 4212132000 is about 1614.9806539168.

Adding to 4212132000 its reverse (2312124), we get a palindrome (4214444124).

The spelling of 4212132000 in words is "four billion, two hundred twelve million, one hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 351011 702022 1053033 1404044 1755055 2106066 2808088 3510110 4212132 5265165 5616176 7020220 8424264 8775275 10530330 11232352 14040440 16848528 17550550 21060660 26325825 28080880 33697056 35101100 42121320 43876375 52651650 56161760 70202200 84242640 87752750 105303300 131629125 140404400 168485280 175505500 210606600 263258250 280808800 351011000 421213200 526516500 702022000 842426400 1053033000 1404044000 2106066000 4212132000