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10314126060 = 223571967101191
BaseRepresentation
bin10011001101100010…
…10001001011101100
3222121210211220001220
421212301101023230
5132110404013220
64423243303340
7513410424240
oct114661211354
928553756056
1010314126060
114413067627
121bba21ab50
13c84ac2b94
146dbb72420
1540575c540
hex266c512ec

10314126060 has 384 divisors, whose sum is σ = 35796418560. Its totient is φ = 2166912000.

The previous prime is 10314126047. The next prime is 10314126103. The reversal of 10314126060 is 6062141301.

It is a super-2 number, since 2×103141260602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10314126060.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54000565 + ... + 54000755.

It is an arithmetic number, because the mean of its divisors is an integer number (93219840).

Almost surely, 210314126060 is an apocalyptic number.

10314126060 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 10314126060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17898209280).

10314126060 is an abundant number, since it is smaller than the sum of its proper divisors (25482292500).

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

10314126060 is a wasteful number, since it uses less digits than its factorization.

10314126060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10314126060 its reverse (6062141301), we get a palindrome (16376267361).

The spelling of 10314126060 in words is "ten billion, three hundred fourteen million, one hundred twenty-six thousand, sixty".