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1100021310120 = 233515758387543
BaseRepresentation
bin10000000000011110011…
…000010010001010101000
310220011100101011102201110
4100000132120102022220
5121010320423410440
62201202014150320
7142321360601115
oct20003630221250
93804311142643
101100021310120
11394575396667
12159236ab23a0
137c968329b05
143b35425390c
151d9327b0080
hex1001e6122a8

1100021310120 has 64 divisors (see below), whose sum is σ = 3321083502720. Its totient is φ = 291470609664.

The previous prime is 1100021310061. The next prime is 1100021310131. The reversal of 1100021310120 is 210131200011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1100021310096 and 1100021310105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29174932 + ... + 29212611.

It is an arithmetic number, because the mean of its divisors is an integer number (51891929730).

Almost surely, 21100021310120 is an apocalyptic number.

1100021310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100021310120 is an abundant number, since it is smaller than the sum of its proper divisors (2221062192600).

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

1100021310120 is a wasteful number, since it uses less digits than its factorization.

1100021310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58387714 (or 58387710 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1100021310120 its reverse (210131200011), we get a palindrome (1310152510131).

It can be divided in two parts, 1100021 and 310120, that added together give a palindrome (1410141).

The spelling of 1100021310120 in words is "one trillion, one hundred billion, twenty-one million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 9420 18840 58387543 116775086 175162629 233550172 291937715 350325258 467100344 583875430 700650516 875813145 1167750860 1401301032 1751626290 2335501720 3503252580 7006505160 9166844251 18333688502 27500532753 36667377004 45834221255 55001065506 73334754008 91668442510 110002131012 137502663765 183336885020 220004262024 275005327530 366673770040 550010655060 1100021310120