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3122040000 = 2635426017
BaseRepresentation
bin1011101000010110…
…1000110011000000
322001120200001202010
42322011220303000
522343220240000
61233444052520
7140236621302
oct27205506300
98046601663
103122040000
111362345952
12731694140
133a9a73b61
142188d3972
1513414dd50
hexba168cc0

3122040000 has 140 divisors (see below), whose sum is σ = 10322589464. Its totient is φ = 832512000.

The previous prime is 3122039993. The next prime is 3122040011. The reversal of 3122040000 is 402213.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106992 + ... + 133008.

Almost surely, 23122040000 is an apocalyptic number.

3122040000 is a gapful number since it is divisible by the number (30) 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 3122040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5161294732).

3122040000 is an abundant number, since it is smaller than the sum of its proper divisors (7200549464).

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

3122040000 is an equidigital number, since it uses as much as digits as its factorization.

3122040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26052 (or 26027 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3122040000 is about 55875.2181203796. The cubic root of 3122040000 is about 1461.5471183520.

Adding to 3122040000 its reverse (402213), we get a palindrome (3122442213).

The spelling of 3122040000 in words is "three billion, one hundred twenty-two million, forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 26017 30000 40000 52034 60000 78051 104068 120000 130085 156102 208136 260170 312204 390255 416272 520340 624408 650425 780510 832544 1040680 1248816 1300850 1561020 1665088 1951275 2081360 2497632 2601700 3122040 3252125 3902550 4162720 4995264 5203400 6244080 6504250 7805100 8325440 9756375 10406800 12488160 13008500 15610200 16260625 19512750 20813600 24976320 26017000 31220400 32521250 39025500 41627200 48781875 52034000 62440800 65042500 78051000 97563750 104068000 124881600 130085000 156102000 195127500 208136000 260170000 312204000 390255000 520340000 624408000 780510000 1040680000 1561020000 3122040000