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20010001022000 = 2453111019005401
BaseRepresentation
bin1001000110010111100010…
…00000001011110000110000
32121211221022101011001200222
410203023301000023300300
510110320440230201000
6110320244554432212
74133450323221263
oct443136100136060
977757271131628
1020010001022000
116415214a0a980
1222b20a4a32668
13b21c2026b432
144d26bc5a8cda
1524a78cd96a85
hex1232f100bc30

20010001022000 has 160 divisors (see below), whose sum is σ = 53305351864128. Its totient is φ = 7204320000000.

The previous prime is 20010001021981. The next prime is 20010001022003. The reversal of 20010001022000 is 22010001002.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (20010001022003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2280701 + ... + 6724700.

Almost surely, 220010001022000 is an apocalyptic number.

20010001022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010001022000 is an abundant number, since it is smaller than the sum of its proper divisors (33295350842128).

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

20010001022000 is a wasteful number, since it uses less digits than its factorization.

20010001022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005536 (or 9005520 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20010001022000 its reverse (22010001002), we get a palindrome (20032011023002).

The spelling of 20010001022000 in words is "twenty trillion, ten billion, one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 125 176 200 202 220 250 275 400 404 440 500 505 550 808 880 1000 1010 1100 1111 1375 1616 2000 2020 2200 2222 2525 2750 4040 4400 4444 5050 5500 5555 8080 8888 10100 11000 11110 12625 17776 20200 22000 22220 25250 27775 40400 44440 50500 55550 88880 101000 111100 138875 202000 222200 277750 444400 555500 1111000 2222000 9005401 18010802 36021604 45027005 72043208 90054010 99059411 144086416 180108020 198118822 225135025 360216040 396237644 450270050 495297055 720432080 792475288 900540100 909545501 990594110 1125675125 1584950576 1801080200 1819091002 1981188220 2251350250 2476485275 3602160400 3638182004 3962376440 4502700500 4547727505 4952970550 7276364008 7924752880 9005401000 9095455010 9905941100 10005000511 12382426375 14552728016 18010802000 18190910020 19811882200 20010001022 22738637525 24764852750 36381820040 39623764400 40020002044 45477275050 49529705500 50025002555 72763640080 80040004088 90954550100 99059411000 100050005110 113693187625 160080008176 181909100200 198118822000 200100010220 227386375250 250125012775 363818200400 400200020440 454772750500 500250025550 800400040880 909545501000 1000500051100 1250625063875 1819091002000 2001000102200 2501250127750 4002000204400 5002500255500 10005000511000 20010001022000