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13403142020 = 2253131369067
BaseRepresentation
bin11000111101110001…
…11011011110000100
31021121002101011100102
430132320323132010
5204422201021040
610053551503232
7653066553542
oct143670733604
937532334312
1013403142020
1157587a6a84
122720827b18
131357a73488
1491210ad92
15536a36515
hex31ee3b784

13403142020 has 48 divisors (see below), whose sum is σ = 29147801088. Its totient is φ = 5171662080.

The previous prime is 13403141933. The next prime is 13403142031. The reversal of 13403142020 is 2024130431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13403141983 and 13403142001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159527 + ... + 228593.

It is an arithmetic number, because the mean of its divisors is an integer number (607245856).

Almost surely, 213403142020 is an apocalyptic number.

13403142020 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 13403142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14573900544).

13403142020 is an abundant number, since it is smaller than the sum of its proper divisors (15744659068).

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

13403142020 is a wasteful number, since it uses less digits than its factorization.

13403142020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69420 (or 69418 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13403142020 its reverse (2024130431), we get a palindrome (15427272451).

The spelling of 13403142020 in words is "thirteen billion, four hundred three million, one hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 313 620 626 1252 1565 3130 6260 9703 19406 38812 48515 69067 97030 138134 194060 276268 345335 690670 1381340 2141077 4282154 8564308 10705385 21410770 21617971 42821540 43235942 86471884 108089855 216179710 432359420 670157101 1340314202 2680628404 3350785505 6701571010 13403142020