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2110101121332 = 2232371584160001
BaseRepresentation
bin11110101101001011110…
…100111110100100110100
321110201112120112022201200
4132231023310332210310
5234032441341340312
64253211142052500
7305310162410631
oct36551364764464
97421476468650
102110101121332
11743986088946
122a0b5071a130
13123c9b9a8289
14741b5277188
1539d4ddec0dc
hex1eb4bd3e934

2110101121332 has 36 divisors (see below), whose sum is σ = 5478025286916. Its totient is φ = 684357120000.

The previous prime is 2110101121327. The next prime is 2110101121351. The reversal of 2110101121332 is 2331211010112.

2110101121332 is a `hidden beast` number, since 2 + 110 + 101 + 121 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1903307196816 + 206793924516 = 1379604^2 + 454746^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 792078669 + ... + 792081332.

It is an arithmetic number, because the mean of its divisors is an integer number (152167369081).

Almost surely, 22110101121332 is an apocalyptic number.

It is an amenable number.

2110101121332 is an abundant number, since it is smaller than the sum of its proper divisors (3367924165584).

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

2110101121332 is a wasteful number, since it uses less digits than its factorization.

2110101121332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584160048 (or 1584160043 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2110101121332 its reverse (2331211010112), we get a palindrome (4441312131444).

The spelling of 2110101121332 in words is "two trillion, one hundred ten billion, one hundred one million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1584160001 3168320002 4752480003 6336640004 9504960006 14257440009 19009920012 28514880018 57029760036 58613920037 117227840074 175841760111 234455680148 351683520222 527525280333 703367040444 1055050560666 2110101121332