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10131212220 = 22351731731333
BaseRepresentation
bin10010110111101111…
…00000011110111100
3222011001122220110020
421123313200132330
5131222042242340
64353151012140
7506026611603
oct113367403674
928131586406
1010131212220
114329894768
121b68b0a050
13c55c3b93c
146c175aa3a
153e467a9d0
hex25bde07bc

10131212220 has 96 divisors (see below), whose sum is σ = 30131777088. Its totient is φ = 2534633472.

The previous prime is 10131212213. The next prime is 10131212233. The reversal of 10131212220 is 2221213101.

It is a super-2 number, since 2×101312122202 (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 10131212220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307674 + ... + 339006.

It is an arithmetic number, because the mean of its divisors is an integer number (313872678).

Almost surely, 210131212220 is an apocalyptic number.

10131212220 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 10131212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15065888544).

10131212220 is an abundant number, since it is smaller than the sum of its proper divisors (20000564868).

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

10131212220 is a wasteful number, since it uses less digits than its factorization.

10131212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31679 (or 31677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10131212220 its reverse (2221213101), we get a palindrome (12352425321).

The spelling of 10131212220 in words is "ten billion, one hundred thirty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 317 340 510 634 951 1020 1268 1585 1902 3170 3804 4755 5389 6340 9510 10778 16167 19020 21556 26945 31333 32334 53890 62666 64668 80835 93999 107780 125332 156665 161670 187998 313330 323340 375996 469995 532661 626660 939990 1065322 1597983 1879980 2130644 2663305 3195966 5326610 6391932 7989915 9932561 10653220 15979830 19865122 29797683 31959660 39730244 49662805 59595366 99325610 119190732 148988415 168853537 198651220 297976830 337707074 506560611 595953660 675414148 844267685 1013121222 1688535370 2026242444 2532803055 3377070740 5065606110 10131212220