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1100011120000 = 2754131057703
BaseRepresentation
bin10000000000011101110…
…001011010010110000000
310220011022122222201111121
4100000131301122112000
5121010310321320000
62201201011522024
7142321205150242
oct20003561322600
93804278881447
101100011120000
1139456a666681
121592335b9314
137c96619c860
143b352b60092
151d93194ab1a
hex1001dc5a580

1100011120000 has 160 divisors (see below), whose sum is σ = 2949058561680. Its totient is φ = 406157568000.

The previous prime is 1100011119983. The next prime is 1100011120009. The reversal of 1100011120000 is 211100011.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100011120009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 511149 + ... + 1568851.

Almost surely, 21100011120000 is an apocalyptic number.

1100011120000 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 1100011120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474529280840).

1100011120000 is an abundant number, since it is smaller than the sum of its proper divisors (1849047441680).

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

1100011120000 is an equidigital number, since it uses as much as digits as its factorization.

1100011120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057750 (or 1057723 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1100011120000 its reverse (211100011), we get a palindrome (1100222220011).

The spelling of 1100011120000 in words is "one trillion, one hundred billion, eleven million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3200 3250 4000 4160 5000 5200 6500 8000 8125 8320 10000 10400 13000 16000 16250 20000 20800 26000 32500 40000 41600 52000 65000 80000 104000 130000 208000 260000 520000 1040000 1057703 2115406 4230812 5288515 8461624 10577030 13750139 16923248 21154060 26442575 27500278 33846496 42308120 52885150 55000556 67692992 68750695 84616240 105770300 110001112 132212875 135385984 137501390 169232480 211540600 220002224 264425750 275002780 338464960 343753475 423081200 440004448 528851500 550005560 661064375 676929920 687506950 846162400 880008896 1057703000 1100011120 1322128750 1375013900 1692324800 1718767375 1760017792 2115406000 2200022240 2644257500 2750027800 3384649600 3437534750 4230812000 4400044480 5288515000 5500055600 6875069500 8461624000 8593836875 8800088960 10577030000 11000111200 13750139000 16923248000 17187673750 21154060000 22000222400 27500278000 34375347500 42308120000 44000444800 55000556000 68750695000 84616240000 110001112000 137501390000 220002224000 275002780000 550005560000 1100011120000