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11120022010000 = 24548443131707
BaseRepresentation
bin1010000111010001010011…
…1101100011100010010000
31110101001201110020111212001
42201310110331203202100
52424142301113310000
635352244555443344
72225252340345661
oct241642475434220
943331643214761
1011120022010000
1135a7a7a587512
1212b7174a56554
136287c9046697
142a62d77ab368
151443cd55b46a
hexa1d14f63890

11120022010000 has 100 divisors (see below), whose sum is σ = 26926078484272. Its totient is φ = 4447448208000.

The previous prime is 11120022009979. The next prime is 11120022010001. The reversal of 11120022010000 is 1022002111.

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (11120022010001) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 84364147 + ... + 84495853.

Almost surely, 211120022010000 is an apocalyptic number.

11120022010000 is a gapful number since it is divisible by the number (10) 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 11120022010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13463039242136).

11120022010000 is an abundant number, since it is smaller than the sum of its proper divisors (15806056474272).

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

11120022010000 is an equidigital number, since it uses as much as digits as its factorization.

11120022010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140178 (or 140157 counting only the distinct ones).

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

Adding to 11120022010000 its reverse (1022002111), we get a palindrome (11121044012111).

The spelling of 11120022010000 in words is "eleven trillion, one hundred twenty billion, twenty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 8443 10000 16886 33772 42215 67544 84430 131707 135088 168860 211075 263414 337720 422150 526828 658535 675440 844300 1053656 1055375 1317070 1688600 2107312 2110750 2634140 3292675 3377200 4221500 5268280 5276875 6585350 8443000 10536560 10553750 13170700 16463375 16886000 21107500 26341400 32926750 42215000 52682800 65853500 82316875 84430000 131707000 164633750 263414000 329267500 658535000 1112002201 1317070000 2224004402 4448008804 5560011005 8896017608 11120022010 17792035216 22240044020 27800055025 44480088040 55600110050 88960176080 111200220100 139000275125 222400440200 278000550250 444800880400 556001100500 695001375625 1112002201000 1390002751250 2224004402000 2780005502500 5560011005000 11120022010000