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2001222002100 = 2235217537403707
BaseRepresentation
bin11101000111110010001…
…000000110010110110100
321002022111121020222201010
4131013302020012112310
5230242000313031400
64131203152432220
7264404101231266
oct35076210062664
97068447228633
102001222002100
11701793715082
12283a25248670
13116939790339
146cc06ca9b36
15370ca412450
hex1d1f22065b4

2001222002100 has 144 divisors (see below), whose sum is σ = 6246478824768. Its totient is φ = 492790671360.

The previous prime is 2001222002099. The next prime is 2001222002113. The reversal of 2001222002100 is 12002221002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3431554 + ... + 3972153.

It is an arithmetic number, because the mean of its divisors is an integer number (43378325172).

Almost surely, 22001222002100 is an apocalyptic number.

2001222002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001222002100 is an abundant number, since it is smaller than the sum of its proper divisors (4245256822668).

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

2001222002100 is a wasteful number, since it uses less digits than its factorization.

2001222002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7403794 (or 7403787 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2001222002100 its reverse (12002221002), we get a palindrome (2013224223102).

The spelling of 2001222002100 in words is "two trillion, one billion, two hundred twenty-two million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 53 60 68 75 85 100 102 106 150 159 170 204 212 255 265 300 318 340 425 510 530 636 795 850 901 1020 1060 1275 1325 1590 1700 1802 2550 2650 2703 3180 3604 3975 4505 5100 5300 5406 7950 9010 10812 13515 15900 18020 22525 27030 45050 54060 67575 90100 135150 270300 7403707 14807414 22211121 29614828 37018535 44422242 74037070 88844484 111055605 125863019 148074140 185092675 222111210 251726038 370185350 377589057 392396471 444222420 503452076 555278025 629315095 740370700 755178114 784792942 1110556050 1177189413 1258630190 1510356228 1569585884 1887945285 1961982355 2221112100 2354378826 2517260380 3146575475 3775890570 3923964710 4708757652 5885947065 6293150950 6670740007 7551781140 7847929420 9439726425 9809911775 11771894130 12586301900 13341480014 18879452850 19619823550 20012220021 23543788260 26682960028 29429735325 33353700035 37758905700 39239647100 40024440042 58859470650 66707400070 80048880084 100061100105 117718941300 133414800140 166768500175 200122200210 333537000350 400244400420 500305500525 667074000700 1000611001050 2001222002100