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3122020514000 = 24532453363629
BaseRepresentation
bin101101011011100110111…
…011000111100011010000
3102001110110222101122002102
4231123212323013203100
5402122344222422000
610350123022335532
7441362402340623
oct55334673074320
912043428348072
103122020514000
11aa4050209983
1242509a42a5a8
131985364c498b
14ab16c717dba
1556326cb03d5
hex2d6e6ec78d0

3122020514000 has 80 divisors (see below), whose sum is σ = 7549471959120. Its totient is φ = 1248737676800.

The previous prime is 3122020513987. The next prime is 3122020514003. The reversal of 3122020514000 is 4150202213.

It can be written as a sum of positive squares in 8 ways, for example, as 2179272727696 + 942747786304 = 1476236^2 + 970952^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3122020514003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49034186 + ... + 49097814.

It is an arithmetic number, because the mean of its divisors is an integer number (94368399489).

Almost surely, 23122020514000 is an apocalyptic number.

It is an amenable number.

3122020514000 is an abundant number, since it is smaller than the sum of its proper divisors (4427451445120).

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

3122020514000 is a wasteful number, since it uses less digits than its factorization.

3122020514000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88185 (or 88169 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 3122020514000 its reverse (4150202213), we get a palindrome (3126170716213).

The spelling of 3122020514000 in words is "three trillion, one hundred twenty-two billion, twenty million, five hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 24533 49066 63629 98132 122665 127258 196264 245330 254516 318145 392528 490660 509032 613325 636290 981320 1018064 1226650 1272580 1590725 1962640 2453300 2545160 3066625 3181450 4906600 5090320 6133250 6362900 7953625 9813200 12266500 12725800 15907250 24533000 25451600 31814500 49066000 63629000 127258000 1561010257 3122020514 6244041028 7805051285 12488082056 15610102570 24976164112 31220205140 39025256425 62440410280 78050512850 124880820560 156101025700 195126282125 312202051400 390252564250 624404102800 780505128500 1561010257000 3122020514000