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10012223310 = 2353725433547
BaseRepresentation
bin10010101001100011…
…00110011101001110
3221211202202122100120
421110301212131032
5131001112121220
64333300405410
7503053331265
oct112461463516
927752678316
1010012223310
114278703621
121b350a6866
13c373a9cbb
146ada255dc
153d8ec4a40
hex254c6674e

10012223310 has 64 divisors (see below), whose sum is σ = 24695442432. Its totient is φ = 2596012416.

The previous prime is 10012223293. The next prime is 10012223327. The reversal of 10012223310 is 1332221001.

10012223310 is digitally balanced in base 2, because in such base 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 (10012223293) and next prime (10012223327).

It is a super-2 number, since 2×100122233102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10012223310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2820957 + ... + 2824503.

It is an arithmetic number, because the mean of its divisors is an integer number (385866288).

Almost surely, 210012223310 is an apocalyptic number.

10012223310 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 10012223310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12347721216).

10012223310 is an abundant number, since it is smaller than the sum of its proper divisors (14683219122).

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

10012223310 is a wasteful number, since it uses less digits than its factorization.

10012223310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10012223310 its reverse (1332221001), we get a palindrome (11344444311).

The spelling of 10012223310 in words is "ten billion, twelve million, two hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 2543 3547 5086 7094 7629 10641 12715 15258 17735 21282 25430 35470 38145 53205 76290 94091 106410 131239 188182 262478 282273 393717 470455 564546 656195 787434 940910 1312390 1411365 1968585 2822730 3937170 9020021 18040042 27060063 45100105 54120126 90200210 135300315 270600630 333740777 667481554 1001222331 1668703885 2002444662 3337407770 5006111655 10012223310