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2114110013202 = 23211103103663333
BaseRepresentation
bin11110110000111010110…
…001101011111100010010
321111002212221222010112100
4132300322301223330102
5234114144130410302
64255113030341230
7305511421420215
oct36607261537422
97432787863470
102114110013202
11745652a95720
122a188b1ba816
1312448a3c1045
147447586377c
1539ed5d2bd1c
hex1ec3ac6bf12

2114110013202 has 48 divisors (see below), whose sum is σ = 5045501792448. Its totient is φ = 634419591840.

The previous prime is 2114110013201. The next prime is 2114110013263. The reversal of 2114110013202 is 2023100114112.

It is a super-2 number, since 2×21141100132022 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2114110013201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51811273 + ... + 51852060.

It is an arithmetic number, because the mean of its divisors is an integer number (105114620676).

Almost surely, 22114110013202 is an apocalyptic number.

2114110013202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2114110013202 is an abundant number, since it is smaller than the sum of its proper divisors (2931391779246).

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

2114110013202 is a wasteful number, since it uses less digits than its factorization.

2114110013202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103663455 (or 103663452 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 2114110013202 its reverse (2023100114112), we get a palindrome (4137210127314).

The spelling of 2114110013202 in words is "two trillion, one hundred fourteen billion, one hundred ten million, thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 103 198 206 309 618 927 1133 1854 2266 3399 6798 10197 20394 103663333 207326666 310989999 621979998 932969997 1140296663 1865939994 2280593326 3420889989 6841779978 10262669967 10677323299 20525339934 21354646598 32031969897 64063939794 96095909691 117450556289 192191819382 234901112578 352351668867 704703337734 1057055006601 2114110013202