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20130122112 = 27385961027
BaseRepresentation
bin10010101111110110…
…010100100110000000
31220221220101011020020
4102233312110212000
5312211302401422
613125254213440
71311562133442
oct225766244600
956856334206
1020130122112
11859aa24761
123a99654280
131b8a636b79
14d8d6b8492
157cc3c095c
hex4afd94980

20130122112 has 64 divisors (see below), whose sum is σ = 53533761600. Its totient is φ = 6702119424.

The previous prime is 20130122069. The next prime is 20130122171. The reversal of 20130122112 is 21122103102.

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 = 20130122091 and 20130122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299343 + ... + 360369.

It is an arithmetic number, because the mean of its divisors is an integer number (836465025).

Almost surely, 220130122112 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 20130122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26766880800).

20130122112 is an abundant number, since it is smaller than the sum of its proper divisors (33403639488).

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

20130122112 is an equidigital number, since it uses as much as digits as its factorization.

20130122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61903 (or 61891 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20130122112 its reverse (21122103102), we get a palindrome (41252225214).

The spelling of 20130122112 in words is "twenty billion, one hundred thirty million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 859 1718 2577 3436 5154 6872 10308 13744 20616 27488 41232 54976 61027 82464 109952 122054 164928 183081 244108 329856 366162 488216 732324 976432 1464648 1952864 2929296 3905728 5858592 7811456 11717184 23434368 52422193 104844386 157266579 209688772 314533158 419377544 629066316 838755088 1258132632 1677510176 2516265264 3355020352 5032530528 6710040704 10065061056 20130122112