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21010100211200 = 29525473000757
BaseRepresentation
bin1001100011011110010111…
…00011110100111000000000
32202101112202000012211012002
410301233023203310320000
510223212141123224300
6112403523511123132
74265633604114542
oct461571343647000
982345660184162
1021010100211200
116770373923111
122433a940734a8
13b95322c556b9
14528c73c71692
152667c31a25d5
hex131bcb8f4e00

21010100211200 has 120 divisors (see below), whose sum is σ = 52149345072792. Its totient is φ = 8388673413120.

The previous prime is 21010100211173. The next prime is 21010100211229. The reversal of 21010100211200 is 211200101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5501222 + ... + 8501978.

Almost surely, 221010100211200 is an apocalyptic number.

21010100211200 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 21010100211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26074672536396).

21010100211200 is an abundant number, since it is smaller than the sum of its proper divisors (31139244861592).

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

21010100211200 is an equidigital number, since it uses as much as digits as its factorization.

21010100211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3001332 (or 3001311 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21010100211200 its reverse (211200101012), we get a palindrome (21221300312212).

The spelling of 21010100211200 in words is "twenty-one trillion, ten billion, one hundred million, two hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 547 640 800 1094 1280 1600 2188 2560 2735 3200 4376 5470 6400 8752 10940 12800 13675 17504 21880 27350 35008 43760 54700 70016 87520 109400 140032 175040 218800 280064 350080 437600 700160 875200 1400320 1750400 3000757 3500800 6001514 7001600 12003028 15003785 24006056 30007570 48012112 60015140 75018925 96024224 120030280 150037850 192048448 240060560 300075700 384096896 480121120 600151400 768193792 960242240 1200302800 1536387584 1641414079 1920484480 2400605600 3282828158 3840968960 4801211200 6565656316 7681937920 8207070395 9602422400 13131312632 16414140790 19204844800 26262625264 32828281580 38409689600 41035351975 52525250528 65656563160 82070703950 105050501056 131313126320 164141407900 210101002112 262626252640 328282815800 420202004224 525252505280 656565631600 840404008448 1050505010560 1313131263200 2101010021120 2626262526400 4202020042240 5252525052800 10505050105600 21010100211200