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2100311088000 = 2735343756481
BaseRepresentation
bin11110100100000100010…
…010111101101110000000
321102210021021212002201120
4132210010102331232000
5233402414114304000
64244511455432240
7304512444453456
oct36440422755600
97383237762646
102100311088000
1173a811943a04
1229b079b25680
1312309b654748
1473926d6c9d6
15399796b66a0
hex1e9044bdb80

2100311088000 has 128 divisors (see below), whose sum is σ = 6962531415840. Its totient is φ = 560082944000.

The previous prime is 2100311087921. The next prime is 2100311088019. The reversal of 2100311088000 is 8801130012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×21003110880002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21830241 + ... + 21926240.

Almost surely, 22100311088000 is an apocalyptic number.

2100311088000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100311088000 is an abundant number, since it is smaller than the sum of its proper divisors (4862220327840).

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

2100311088000 is an equidigital number, since it uses as much as digits as its factorization.

2100311088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43756513 (or 43756491 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The spelling of 2100311088000 in words is "two trillion, one hundred billion, three hundred eleven million, eighty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 640 750 800 960 1000 1200 1500 1600 1920 2000 2400 3000 3200 4000 4800 6000 8000 9600 12000 16000 24000 48000 43756481 87512962 131269443 175025924 218782405 262538886 350051848 437564810 525077772 656347215 700103696 875129620 1050155544 1093912025 1312694430 1400207392 1750259240 2100311088 2187824050 2625388860 2800414784 3281736075 3500518480 4200622176 4375648100 5250777720 5469560125 5600829568 6563472150 7001036960 8401244352 8751296200 10501555440 10939120250 13126944300 14002073920 16408680375 16802488704 17502592400 21003110880 21878240500 26253888600 28004147840 32817360750 35005184800 42006221760 43756481000 52507777200 65634721500 70010369600 84012443520 87512962000 105015554400 131269443000 140020739200 175025924000 210031108800 262538886000 350051848000 420062217600 525077772000 700103696000 1050155544000 2100311088000