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10314311130 = 23252336713577
BaseRepresentation
bin10011001101100011…
…11110010111011010
3222121211012021221100
421212301332113122
5132110430424010
64423251252230
7513412124634
oct114661762732
928554167840
1010314311130
114413183682
121bba2aa076
13c84b591a6
146dbbbda54
154057972c0
hex266c7e5da

10314311130 has 96 divisors (see below), whose sum is σ = 28061489664. Its totient is φ = 2623534848.

The previous prime is 10314311099. The next prime is 10314311141. The reversal of 10314311130 is 3111341301.

10314311130 is a `hidden beast` number, since 10 + 314 + 311 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 752902 + ... + 766478.

It is an arithmetic number, because the mean of its divisors is an integer number (292307184).

Almost surely, 210314311130 is an apocalyptic number.

10314311130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314311130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030744832).

10314311130 is an abundant number, since it is smaller than the sum of its proper divisors (17747178534).

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

10314311130 is a wasteful number, since it uses less digits than its factorization.

10314311130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13980 (or 13977 counting only the distinct ones).

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

Adding to 10314311130 its reverse (3111341301), we get a palindrome (13425652431).

The spelling of 10314311130 in words is "ten billion, three hundred fourteen million, three hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 367 414 690 734 1035 1101 1835 2070 2202 3303 3670 5505 6606 8441 11010 13577 16515 16882 25323 27154 33030 40731 42205 50646 67885 75969 81462 84410 122193 126615 135770 151938 203655 244386 253230 312271 379845 407310 610965 624542 759690 936813 1221930 1561355 1873626 2810439 3122710 4684065 4982759 5620878 9368130 9965518 14052195 14948277 24913795 28104390 29896554 44844831 49827590 74741385 89689662 114603457 149482770 224224155 229206914 343810371 448448310 573017285 687620742 1031431113 1146034570 1719051855 2062862226 3438103710 5157155565 10314311130