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2113113014112 = 253179071427563
BaseRepresentation
bin11110101111111111010…
…110011011111101100000
321111000022110221022220010
4132233333112123331200
5234110123412422422
64254430053244520
7305444624155302
oct36577726337540
97430273838803
102113113014112
11745191231531
122a1651333740
1312435b994a59
14743bd297972
1539e7853eb0c
hex1ebff59bf60

2113113014112 has 96 divisors (see below), whose sum is σ = 5879690716032. Its totient is φ = 662206040064.

The previous prime is 2113113014107. The next prime is 2113113014119. The reversal of 2113113014112 is 2114103113112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×21131130141122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113113014119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 766443 + ... + 2194005.

It is an arithmetic number, because the mean of its divisors is an integer number (61246778292).

Almost surely, 22113113014112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113113014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939845358016).

2113113014112 is an abundant number, since it is smaller than the sum of its proper divisors (3766577701920).

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

2113113014112 is a wasteful number, since it uses less digits than its factorization.

2113113014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428500 (or 1428492 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 2113113014112 its reverse (2114103113112), we get a palindrome (4227216127224).

The spelling of 2113113014112 in words is "two trillion, one hundred thirteen billion, one hundred thirteen million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 907 1632 1814 2721 3628 5442 7256 10884 14512 15419 21768 29024 30838 43536 46257 61676 87072 92514 123352 185028 246704 370056 493408 740112 1427563 1480224 2855126 4282689 5710252 8565378 11420504 17130756 22841008 24268571 34261512 45682016 48537142 68523024 72805713 97074284 137046048 145611426 194148568 291222852 388297136 582445704 776594272 1164891408 1294799641 2329782816 2589599282 3884398923 5179198564 7768797846 10358397128 15537595692 20716794256 22011593897 31075191384 41433588512 44023187794 62150382768 66034781691 88046375588 124300765536 132069563382 176092751176 264139126764 352185502352 528278253528 704371004704 1056556507056 2113113014112