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3145010310 = 23251317915017
BaseRepresentation
bin1011101101110101…
…0000110010000110
322010011220002002100
42323131100302012
522420110312220
61240024252530
7140636101161
oct27335206206
98104802070
103145010310
111374304882
12739311146
133b1757260
1421b992ad8
15136189d90
hexbb750c86

3145010310 has 96 divisors (see below), whose sum is σ = 8855814240. Its totient is φ = 769780224.

The previous prime is 3145010293. The next prime is 3145010327. The reversal of 3145010310 is 130105413.

3145010310 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3145010293) and next prime (3145010327).

It is a super-2 number, since 2×31450103102 = 19782179700012592200, which contains 22 as substring.

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

It is a congruent number.

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, 201922 + ... + 216938.

It is an arithmetic number, because the mean of its divisors is an integer number (92248065).

Almost surely, 23145010310 is an apocalyptic number.

3145010310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145010310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427907120).

3145010310 is an abundant number, since it is smaller than the sum of its proper divisors (5710803930).

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

3145010310 is a wasteful number, since it uses less digits than its factorization.

3145010310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15222 (or 15219 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 3145010310 is about 56080.3914929274. The cubic root of 3145010310 is about 1465.1227921476.

Adding to 3145010310 its reverse (130105413), we get a palindrome (3275115723).

The spelling of 3145010310 in words is "three billion, one hundred forty-five million, ten thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 179 195 234 358 390 537 585 895 1074 1170 1611 1790 2327 2685 3222 4654 5370 6981 8055 11635 13962 15017 16110 20943 23270 30034 34905 41886 45051 69810 75085 90102 104715 135153 150170 195221 209430 225255 270306 390442 450510 585663 675765 976105 1171326 1351530 1756989 1952210 2688043 2928315 3513978 5376086 5856630 8064129 8784945 13440215 16128258 17569890 24192387 26880430 34944559 40320645 48384774 69889118 80641290 104833677 120961935 174722795 209667354 241923870 314501031 349445590 524168385 629002062 1048336770 1572505155 3145010310