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211121002000 = 2453234589587
BaseRepresentation
bin1100010010011111001…
…0101101011000010000
3202011221101102010021101
43010213302231120100
511424333434031000
6240553155434144
721152526623236
oct3044762553020
9664841363241
10211121002000
1181599335647
1234abbbb5954
1316ba733182c
14a30b08c956
155759965e6a
hex3127cad610

211121002000 has 80 divisors (see below), whose sum is σ = 532685941632. Its totient is φ = 80776713600.

The previous prime is 211121001997. The next prime is 211121002031. The reversal of 211121002000 is 200121112.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2248794 + ... + 2340793.

Almost surely, 2211121002000 is an apocalyptic number.

211121002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121002000 is an abundant number, since it is smaller than the sum of its proper divisors (321564939632).

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

211121002000 is a wasteful number, since it uses less digits than its factorization.

211121002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4589633 (or 4589617 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 211121002000 its reverse (200121112), we get a palindrome (211321123112).

The spelling of 211121002000 in words is "two hundred eleven billion, one hundred twenty-one million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 4589587 9179174 18358348 22947935 36716696 45895870 73433392 91791740 105560501 114739675 183583480 211121002 229479350 367166960 422242004 458958700 527802505 573698375 844484008 917917400 1055605010 1147396750 1688968016 1835834800 2111210020 2294793500 2639012525 4222420040 4589587000 5278025050 8444840080 9179174000 10556050100 13195062625 21112100200 26390125250 42224200400 52780250500 105560501000 211121002000