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10131312202220 = 22511296011264179
BaseRepresentation
bin1001001101101110000101…
…0000111101000111101100
31022212112200120022021111102
42103123201100331013230
52311442411410432340
633314132141142232
72063651234553146
oct223334120750754
938775616267442
1010131312202220
1132567356850a0
121177623b5a978
135864bcb4b071
142705029b3c96
151288130a7215
hex936e143d1ec

10131312202220 has 96 divisors (see below), whose sum is σ = 24014342419200. Its totient is φ = 3556469907200.

The previous prime is 10131312202129. The next prime is 10131312202223. The reversal of 10131312202220 is 2220221313101.

10131312202220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10131312202192 and 10131312202201.

It is not an unprimeable number, because it can be changed into a prime (10131312202223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38218091 + ... + 38482269.

It is an arithmetic number, because the mean of its divisors is an integer number (250149400200).

Almost surely, 210131312202220 is an apocalyptic number.

10131312202220 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 10131312202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12007171209600).

10131312202220 is an abundant number, since it is smaller than the sum of its proper divisors (13883030216980).

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

10131312202220 is a wasteful number, since it uses less digits than its factorization.

10131312202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270239 (or 270237 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10131312202220 its reverse (2220221313101), we get a palindrome (12351533515321).

The spelling of 10131312202220 in words is "ten trillion, one hundred thirty-one billion, three hundred twelve million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6011 6380 12022 24044 30055 60110 66121 120220 132242 174319 264179 264484 330605 348638 528358 661210 697276 871595 1056716 1320895 1322420 1743190 1917509 2641790 2905969 3486380 3835018 5283580 5811938 7661191 7670036 9587545 11623876 14529845 15322382 19175090 29059690 30644764 38305955 38350180 58119380 76611910 84273101 153223820 168546202 337092404 421365505 842731010 1587979969 1685462020 3175959938 6351919876 7939899845 15879799690 17467779659 31759599380 34935559318 46051419101 69871118636 87338898295 92102838202 174677796590 184205676404 230257095505 349355593180 460514191010 506565610111 921028382020 1013131220222 2026262440444 2532828050555 5065656101110 10131312202220