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13141223104 = 263714893727
BaseRepresentation
bin11000011110100011…
…10010011011000000
31020220211112022010211
430033101302123000
5203403123114404
610011554003504
7643436360542
oct141721623300
936824468124
1013141223104
115633972469
122668b76594
131315719979
148c940b692
1551da4ab04
hex30f4726c0

13141223104 has 56 divisors (see below), whose sum is σ = 26807078720. Its totient is φ = 6387019776.

The previous prime is 13141223059. The next prime is 13141223189. The reversal of 13141223104 is 40132214131.

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, 3524089 + ... + 3527815.

Almost surely, 213141223104 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 13141223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403539360).

13141223104 is an abundant number, since it is smaller than the sum of its proper divisors (13665855616).

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

13141223104 is a wasteful number, since it uses less digits than its factorization.

13141223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5255 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13141223104 its reverse (40132214131), we get a palindrome (53273437235).

The spelling of 13141223104 in words is "thirteen billion, one hundred forty-one million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 592 1184 1489 2368 2978 3727 5956 7454 11912 14908 23824 29816 47648 55093 59632 95296 110186 119264 137899 220372 238528 275798 440744 551596 881488 1103192 1762976 2206384 3525952 4412768 5549503 8825536 11099006 22198012 44396024 88792048 177584096 205331611 355168192 410663222 821326444 1642652888 3285305776 6570611552 13141223104