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3122143031000 = 23537937476009
BaseRepresentation
bin101101011011101110001…
…110011110111011011000
3102001110210111221010211002
4231123232032132323120
5402123122103443000
610350143120324132
7441365420614220
oct55335616367330
912043714833732
103122143031000
11aa410338a7a4
12425113473648
131985559c0446
14ab180acb080
15563329118d5
hex2d6ee39eed8

3122143031000 has 128 divisors (see below), whose sum is σ = 8358430953600. Its totient is φ = 1069304371200.

The previous prime is 3122143030931. The next prime is 3122143031003. The reversal of 3122143031000 is 1303412213.

It is a super-2 number, since 2×31221430310002 (a number of 26 digits) contains 22 as substring.

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 (3122143031003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6320996 + ... + 6797004.

It is an arithmetic number, because the mean of its divisors is an integer number (65300241825).

Almost surely, 23122143031000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122143031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179215476800).

3122143031000 is an abundant number, since it is smaller than the sum of its proper divisors (5236287922600).

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

3122143031000 is a wasteful number, since it uses less digits than its factorization.

3122143031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476974 (or 476960 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 3122143031000 its reverse (1303412213), we get a palindrome (3123446443213).

The spelling of 3122143031000 in words is "three trillion, one hundred twenty-two billion, one hundred forty-three million, thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 937 1000 1400 1750 1874 3500 3748 4685 6559 7000 7496 9370 13118 18740 23425 26236 32795 37480 46850 52472 65590 93700 117125 131180 163975 187400 234250 262360 327950 468500 476009 655900 819875 937000 952018 1311800 1639750 1904036 2380045 3279500 3332063 3808072 4760090 6559000 6664126 9520180 11900225 13328252 16660315 19040360 23800450 26656504 33320630 47600900 59501125 66641260 83301575 95201800 119002250 133282520 166603150 238004500 333206300 416507875 446020433 476009000 666412600 833015750 892040866 1666031500 1784081732 2230102165 3122143031 3332063000 3568163464 4460204330 6244286062 8920408660 11150510825 12488572124 15610715155 17840817320 22301021650 24977144248 31221430310 44602043300 55752554125 62442860620 78053575775 89204086600 111505108250 124885721240 156107151550 223010216500 312214303100 390267878875 446020433000 624428606200 780535757750 1561071515500 3122143031000