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22120001002000 = 2453112343715417
BaseRepresentation
bin1010000011110001101101…
…10011010101101000010000
32220022122120220100212121101
411001320312303111220100
510344403230224031000
6115013442125034144
74442055150144436
oct501706663255020
986278526325541
1022120001002000
117059048997840
1225930076b5954
13c45ba3cc3565
14566884234d56
152855d2e65e6a
hex141e36cd5a10

22120001002000 has 160 divisors (see below), whose sum is σ = 60885435297024. Its totient is φ = 7693913216000.

The previous prime is 22120001001997. The next prime is 22120001002009. The reversal of 22120001002000 is 20010002122.

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

It is not an unprimeable number, because it can be changed into a prime (22120001002009) 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, 21351709 + ... + 22363708.

Almost surely, 222120001002000 is an apocalyptic number.

22120001002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22120001002000 is an abundant number, since it is smaller than the sum of its proper divisors (38765434295024).

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

22120001002000 is a wasteful number, since it uses less digits than its factorization.

22120001002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43715474 (or 43715458 counting only the distinct ones).

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

Adding to 22120001002000 its reverse (20010002122), we get a palindrome (22140011004122).

The spelling of 22120001002000 in words is "twenty-two trillion, one hundred twenty billion, one million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 125 176 184 200 220 230 250 253 275 368 400 440 460 500 506 550 575 880 920 1000 1012 1100 1150 1265 1375 1840 2000 2024 2200 2300 2530 2750 2875 4048 4400 4600 5060 5500 5750 6325 9200 10120 11000 11500 12650 20240 22000 23000 25300 31625 46000 50600 63250 101200 126500 253000 506000 43715417 87430834 174861668 218577085 349723336 437154170 480869587 699446672 874308340 961739174 1005454591 1092885425 1748616680 1923478348 2010909182 2185770850 2404347935 3497233360 3846956696 4021818364 4371541700 4808695870 5027272955 5464427125 7693913392 8043636728 8743083400 9617391740 10054545910 10928854250 11060000501 12021739675 16087273456 17486166800 19234783480 20109091820 21857708500 22120001002 24043479350 25136364775 38469566960 40218183640 43715417000 44240002004 48086958700 50272729550 55300002505 60108698375 80436367280 87430834000 88480004008 96173917400 100545459100 110600005010 120217396750 125681823875 176960008016 192347834800 201090918200 221200010020 240434793500 251363647750 276500012525 402181836400 442400020040 480869587000 502727295500 553000025050 884800040080 961739174000 1005454591000 1106000050100 1382500062625 2010909182000 2212000100200 2765000125250 4424000200400 5530000250500 11060000501000 22120001002000