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1100022122112 = 2734017143743
BaseRepresentation
bin10000000000011110011…
…011011000011010000000
310220011100102200200120020
4100000132123120122000
5121010321130401422
62201202043413440
7142321400522334
oct20003633303200
93804312620506
101100022122112
113945758a0731
12159237224280
137c968552594
143b3543c57c4
151d9328c095c
hex1001e6d8680

1100022122112 has 64 divisors (see below), whose sum is σ = 2929220789760. Its totient is φ = 365759590400.

The previous prime is 1100022122083. The next prime is 1100022122119. The reversal of 1100022122112 is 2112212200011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1100022122091 and 1100022122100.

It is not an unprimeable number, because it can be changed into a prime (1100022122119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3417888 + ... + 3725855.

It is an arithmetic number, because the mean of its divisors is an integer number (45769074840).

Almost surely, 21100022122112 is an apocalyptic number.

1100022122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100022122112 is an abundant number, since it is smaller than the sum of its proper divisors (1829198667648).

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

1100022122112 is an equidigital number, since it uses as much as digits as its factorization.

1100022122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7144161 (or 7144149 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1100022122112 its reverse (2112212200011), we get a palindrome (3212234322123).

The spelling of 1100022122112 in words is "one trillion, one hundred billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 401 802 1203 1604 2406 3208 4812 6416 9624 12832 19248 25664 38496 51328 76992 153984 7143743 14287486 21431229 28574972 42862458 57149944 85724916 114299888 171449832 228599776 342899664 457199552 685799328 914399104 1371598656 2743197312 2864640943 5729281886 8593922829 11458563772 17187845658 22917127544 34375691316 45834255088 68751382632 91668510176 137502765264 183337020352 275005530528 366674040704 550011061056 1100022122112