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2132001000 = 23345326321
BaseRepresentation
bin111111100010011…
…1100000011101000
312111120201212120000
41333010330003220
513331243013000
6551320103000
7103555465233
oct17704740350
95446655500
102132001000
119a45059a8
124b6004a60
1327c91386c
1416321a41a
15c7289000
hex7f13c0e8

2132001000 has 160 divisors (see below), whose sum is σ = 7452811080. Its totient is φ = 568512000.

The previous prime is 2132000999. The next prime is 2132001041. The reversal of 2132001000 is 1002312.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1185700356 + 946300644 = 34434^2 + 30762^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 67840 + ... + 94160.

Almost surely, 22132001000 is an apocalyptic number.

2132001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726405540).

2132001000 is an abundant number, since it is smaller than the sum of its proper divisors (5320810080).

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

2132001000 is a wasteful number, since it uses less digits than its factorization.

2132001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26354 (or 26331 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2132001000 is about 46173.5963511616. The cubic root of 2132001000 is about 1287.0511333133.

Adding to 2132001000 its reverse (1002312), we get a palindrome (2133003312).

The spelling of 2132001000 in words is "two billion, one hundred thirty-two million, one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 26321 27000 40500 52642 78963 81000 105284 131605 157926 210568 236889 263210 315852 394815 473778 526420 631704 658025 710667 789630 947556 1052840 1184445 1316050 1421334 1579260 1895112 1974075 2132001 2368890 2632100 2842668 3158520 3290125 3553335 3948150 4264002 4737780 5264200 5685336 5922225 6580250 7106670 7896300 8528004 9475560 9870375 10660005 11844450 13160500 14213340 15792600 17056008 17766675 19740750 21320010 23688900 26321000 28426680 29611125 35533350 39481500 42640020 47377800 53300025 59222250 71066700 78963000 85280040 88833375 106600050 118444500 142133400 177666750 213200100 236889000 266500125 355333500 426400200 533000250 710667000 1066000500 2132001000