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13122331320 = 2335726173617
BaseRepresentation
bin11000011100010011…
…01110001010111000
31020212111222111111010
430032021232022320
5203333304100240
610010041033520
7643116655500
oct141611561270
936774874433
1013122331320
11562423981a
1226627858a0
131311833ab7
148c6ad0a00
1551c068280
hex30e26e2b8

13122331320 has 192 divisors, whose sum is σ = 45881160480. Its totient is φ = 2993700864.

The previous prime is 13122331273. The next prime is 13122331367. The reversal of 13122331320 is 2313322131.

It is an interprime number because it is at equal distance from previous prime (13122331273) and next prime (13122331367).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3626152 + ... + 3629768.

Almost surely, 213122331320 is an apocalyptic number.

13122331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13122331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22940580240).

13122331320 is an abundant number, since it is smaller than the sum of its proper divisors (32758829160).

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

13122331320 is a wasteful number, since it uses less digits than its factorization.

13122331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13122331320 its reverse (2313322131), we get a palindrome (15435653451).

The spelling of 13122331320 in words is "thirteen billion, one hundred twenty-two million, three hundred thirty-one thousand, three hundred twenty".