Search a number
-
+
12002011000 = 235372244939
BaseRepresentation
bin10110010110110000…
…00010011101111000
31010222102220022220221
423023120002131320
5144040003323000
65302540425424
7603264260500
oct131330023570
933872808827
1012002011000
1150a9905561
1223ab548274
1311936b9c75
1481bdc2a00
154a3a1b61a
hex2cb602778

12002011000 has 96 divisors (see below), whose sum is σ = 32670097200. Its totient is φ = 4114958400.

The previous prime is 12002010997. The next prime is 12002011001. The reversal of 12002011000 is 11020021.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002011001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73470 + ... + 171469.

Almost surely, 212002011000 is an apocalyptic number.

12002011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002011000 is an abundant number, since it is smaller than the sum of its proper divisors (20668086200).

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

12002011000 is a wasteful number, since it uses less digits than its factorization.

12002011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244974 (or 244953 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12002011000 its reverse (11020021), we get a palindrome (12013031021).

The spelling of 12002011000 in words is "twelve billion, two million, eleven thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 244939 489878 979756 1224695 1714573 1959512 2449390 3429146 4898780 6123475 6858292 8572865 9797560 12002011 12246950 13716584 17145730 24004022 24493900 30617375 34291460 42864325 48008044 48987800 60010055 61234750 68582920 85728650 96016088 120020110 122469500 171457300 214321625 240040220 244939000 300050275 342914600 428643250 480080440 600100550 857286500 1200201100 1500251375 1714573000 2400402200 3000502750 6001005500 12002011000