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10213101231120 = 243451576095869
BaseRepresentation
bin1001010010011110110001…
…0001010101110000010000
31100011100210120210102210000
42110213230101111300100
52314312412403343440
633415500044010000
72102605112046354
oct224475421256020
940140716712700
1010213101231120
113288396432057
12118b44ab30900
13591125801358
142744611ab464
1512a9ed663730
hex949ec455c10

10213101231120 has 100 divisors (see below), whose sum is σ = 35471613650220. Its totient is φ = 2723493659904.

The previous prime is 10213101231103. The next prime is 10213101231131. The reversal of 10213101231120 is 2113210131201.

10213101231120 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 310 + 1 + 231 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1178796604176 + 9034304626944 = 1085724^2 + 3005712^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10213101231093 and 10213101231102.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 788041455 + ... + 788054414.

Almost surely, 210213101231120 is an apocalyptic number.

10213101231120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213101231120 is an abundant number, since it is smaller than the sum of its proper divisors (25258512419100).

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

10213101231120 is a wasteful number, since it uses less digits than its factorization.

10213101231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576095894 (or 1576095879 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10213101231120 its reverse (2113210131201), we get a palindrome (12326311362321).

The spelling of 10213101231120 in words is "ten trillion, two hundred thirteen billion, one hundred one million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 1576095869 3152191738 4728287607 6304383476 7880479345 9456575214 12608766952 14184862821 15760958690 18913150428 23641438035 25217533904 28369725642 31521917380 37826300856 42554588463 47282876070 56739451284 63043834760 70924314105 75652601712 85109176926 94565752140 113478902568 126087669520 127663765389 141848628210 170218353852 189131504280 212772942315 226957805136 255327530778 283697256420 340436707704 378263008560 425545884630 510655061556 567394512840 638318826945 680873415408 851091769260 1021310123112 1134789025680 1276637653890 1702183538520 2042620246224 2553275307780 3404367077040 5106550615560 10213101231120