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2000012221000 = 235310735352951
BaseRepresentation
bin11101000110101010000…
…001001001101001001000
321002012101021211202000201
4131012222001021221020
5230232011112033000
64130443134541544
7264332111244553
oct35065201115110
97065337752021
102000012221000
11701222838692
122837480678b4
131167a5c52b31
146cb3035169a
15370590e396a
hex1d1aa049a48

2000012221000 has 128 divisors (see below), whose sum is σ = 4737238421760. Its totient is φ = 790268160000.

The previous prime is 2000012220991. The next prime is 2000012221021. The reversal of 2000012221000 is 1222100002.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37744525 + ... + 37797475.

It is an arithmetic number, because the mean of its divisors is an integer number (37009675170).

Almost surely, 22000012221000 is an apocalyptic number.

2000012221000 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 2000012221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368619210880).

2000012221000 is an abundant number, since it is smaller than the sum of its proper divisors (2737226200760).

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

2000012221000 is a wasteful number, since it uses less digits than its factorization.

2000012221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53432 (or 53418 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2000012221000 its reverse (1222100002), we get a palindrome (2001234321002).

The spelling of 2000012221000 in words is "two trillion, twelve million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 353 428 500 535 706 856 1000 1070 1412 1765 2140 2675 2824 3530 4280 5350 7060 8825 10700 13375 14120 17650 21400 26750 35300 37771 44125 52951 53500 70600 75542 88250 105902 107000 151084 176500 188855 211804 264755 302168 353000 377710 423608 529510 755420 944275 1059020 1323775 1510840 1888550 2118040 2647550 3777100 4721375 5295100 5665757 6618875 7554200 9442750 10590200 11331514 13237750 18691703 18885500 22663028 26475500 28328785 37383406 37771000 45326056 52951000 56657570 74766812 93458515 113315140 141643925 149533624 186917030 226630280 283287850 373834060 467292575 566575700 708219625 747668120 934585150 1133151400 1416439250 1869170300 2000012221 2336462875 2832878500 3738340600 4000024442 4672925750 5665757000 8000048884 9345851500 10000061105 16000097768 18691703000 20000122210 40000244420 50000305525 80000488840 100000611050 200001222100 250001527625 400002444200 500003055250 1000006110500 2000012221000