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13122110032 = 243143361099
BaseRepresentation
bin11000011100010001…
…11000001001010000
31020212111120020221021
430032020320021100
5203333230010112
610010032205224
7643115044363
oct141610701120
936774506837
1013122110032
1156240a8539
122662699814
131311787165
148c6a740da
1551c022907
hex30e238250

13122110032 has 40 divisors (see below), whose sum is σ = 26305260800. Its totient is φ = 6334640640.

The previous prime is 13122109999. The next prime is 13122110033. The reversal of 13122110032 is 23001122131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13122109988 and 13122110015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122110033) 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, 184219 + ... + 245317.

It is an arithmetic number, because the mean of its divisors is an integer number (657631520).

Almost surely, 213122110032 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 13122110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152630400).

13122110032 is an abundant number, since it is smaller than the sum of its proper divisors (13183150768).

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

13122110032 is a wasteful number, since it uses less digits than its factorization.

13122110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61571 (or 61565 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13122110032 its reverse (23001122131), we get a palindrome (36123232163).

The spelling of 13122110032 in words is "thirteen billion, one hundred twenty-two million, one hundred ten thousand, thirty-two".

Divisors: 1 2 4 8 16 31 62 124 248 433 496 866 1732 3464 6928 13423 26846 53692 61099 107384 122198 214768 244396 488792 977584 1894069 3788138 7576276 15152552 26455867 30305104 52911734 105823468 211646936 423293872 820131877 1640263754 3280527508 6561055016 13122110032