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2132010000 = 24325423689
BaseRepresentation
bin111111100010011…
…1110010000010000
312111120202022220100
41333010332100100
513331243310000
6551320212400
7103555533411
oct17704762020
95446668810
102132010000
119a451173a
124b600a100
1327c9179a3
1416321d808
15c728ba00
hex7f13e410

2132010000 has 150 divisors (see below), whose sum is σ = 7456261670. Its totient is φ = 568512000.

The previous prime is 2132009993. The next prime is 2132010019. The reversal of 2132010000 is 102312.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1492122384 + 639887616 = 38628^2 + 25296^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 78156 + ... + 101844.

Almost surely, 22132010000 is an apocalyptic number.

2132010000 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 2132010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728130835).

2132010000 is an abundant number, since it is smaller than the sum of its proper divisors (5324251670).

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

2132010000 is a wasteful number, since it uses less digits than its factorization.

2132010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23723 (or 23699 counting only the distinct ones).

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

The square root of 2132010000 is about 46173.6938093543. The cubic root of 2132010000 is about 1287.0529443574.

Adding to 2132010000 its reverse (102312), we get a palindrome (2132112312).

The spelling of 2132010000 in words is "two billion, one hundred thirty-two million, ten thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 3000 3600 3750 4500 5000 5625 6000 7500 9000 10000 11250 15000 18000 22500 23689 30000 45000 47378 71067 90000 94756 118445 142134 189512 213201 236890 284268 355335 379024 426402 473780 568536 592225 710670 852804 947560 1066005 1137072 1184450 1421340 1705608 1776675 1895120 2132010 2368900 2842680 2961125 3411216 3553350 4264020 4737800 5330025 5685360 5922250 7106700 8528040 8883375 9475600 10660050 11844500 14213400 14805625 17056080 17766750 21320100 23689000 26650125 28426800 29611250 35533500 42640200 44416875 47378000 53300250 59222500 71067000 85280400 88833750 106600500 118445000 133250625 142134000 177667500 213201000 236890000 266501250 355335000 426402000 533002500 710670000 1066005000 2132010000