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10121343120 = 243357669401
BaseRepresentation
bin10010110110100011…
…10111000010010000
3222010101002111121000
421123101313002100
5131212030434440
64352155302000
7505546665660
oct113321670220
928111074530
1010121343120
114324263989
121b6574a900
13c53b94835
146c030c1a0
153e387b730
hex25b477090

10121343120 has 160 divisors (see below), whose sum is σ = 39842807040. Its totient is φ = 2313446400.

The previous prime is 10121343097. The next prime is 10121343121. The reversal of 10121343120 is 2134312101.

10121343120 is a `hidden beast` number, since 1 + 0 + 1 + 213 + 431 + 20 = 666.

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 = 10121343093 and 10121343102.

It is not an unprimeable number, because it can be changed into a prime (10121343121) 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, 319581 + ... + 349820.

It is an arithmetic number, because the mean of its divisors is an integer number (249017544).

Almost surely, 210121343120 is an apocalyptic number.

10121343120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121343120 is an abundant number, since it is smaller than the sum of its proper divisors (29721463920).

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

10121343120 is a wasteful number, since it uses less digits than its factorization.

10121343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669430 (or 669418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10121343120 its reverse (2134312101), we get a palindrome (12255655221).

The spelling of 10121343120 in words is "ten billion, one hundred twenty-one million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 669401 1338802 2008203 2677604 3347005 4016406 4685807 5355208 6024609 6694010 8032812 9371614 10041015 10710416 12049218 13388020 14057421 16065624 18073827 18743228 20082030 23429035 24098436 26776040 28114842 30123045 32131248 36147654 37486456 40164060 42172263 46858070 48196872 53552080 56229684 60246090 70287105 72295308 74972912 80328120 84344526 90369135 93716140 96393744 112459368 120492180 126516789 140574210 144590616 160656240 168689052 180738270 187432280 210861315 224918736 240984360 253033578 281148420 289181232 337378104 361476540 374864560 421722630 481968720 506067156 562296840 632583945 674756208 722953080 843445260 1012134312 1124593680 1265167890 1445906160 1686890520 2024268624 2530335780 3373781040 5060671560 10121343120