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13103013221100 = 223252114336783869
BaseRepresentation
bin1011111010101100100001…
…1100101101001011101100
31201101122011112001100210200
42332223020130231023230
53204134432341033400
643511235143233500
72521442611466145
oct276531034551354
951348145040720
1013103013221100
1141a1a58406470
121577550748890
137407bb82b10a
14334291330acc
1517ac8d1c7b00
hexbeac872d2ec

13103013221100 has 432 divisors, whose sum is σ = 45971795950080. Its totient is φ = 3094125350400.

The previous prime is 13103013221021. The next prime is 13103013221101. The reversal of 13103013221100 is 112231030131.

13103013221100 is a `hidden beast` number, since 1 + 31 + 0 + 301 + 322 + 1 + 10 + 0 = 666.

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 (13103013221101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 156189966 + ... + 156273834.

Almost surely, 213103013221100 is an apocalyptic number.

13103013221100 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 13103013221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22985897975040).

13103013221100 is an abundant number, since it is smaller than the sum of its proper divisors (32868782728980).

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

13103013221100 is a wasteful number, since it uses less digits than its factorization.

13103013221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84310 (or 84300 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13103013221100 its reverse (112231030131), we get a palindrome (13215244251231).

The spelling of 13103013221100 in words is "thirteen trillion, one hundred three billion, thirteen million, two hundred twenty-one thousand, one hundred".