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210010121210120 = 235711194934984661
BaseRepresentation
bin101111110000000011001010…
…101011001000100100001000
31000112120202211102201001112212
4233300003022223020210020
5210011301212012210440
62022353152351124252
762143505402565260
oct5760031253104410
91015522742631485
10210010121210120
1160a0887951a330
121b679450813688
139024b3c26351a
1439c07890287a0
151942ca2834465
hexbf00caac8908

210010121210120 has 128 divisors (see below), whose sum is σ = 589421585376000. Its totient is φ = 65424112972800.

The previous prime is 210010121210089. The next prime is 210010121210167. The reversal of 210010121210120 is 21012121010012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 210010121210095 and 210010121210104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11489411 + ... + 23495250.

It is an arithmetic number, because the mean of its divisors is an integer number (4604856135750).

Almost surely, 2210010121210120 is an apocalyptic number.

210010121210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010121210120 is an abundant number, since it is smaller than the sum of its proper divisors (379411464165880).

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

210010121210120 is a wasteful number, since it uses less digits than its factorization.

210010121210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34986639 (or 34986635 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 210010121210120 its reverse (21012121010012), we get a palindrome (231022242220132).

The spelling of 210010121210120 in words is "two hundred ten trillion, ten billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 1949 3080 3898 7796 9745 13643 15592 19490 21439 27286 38980 42878 54572 68215 77960 85756 107195 109144 136430 150073 171512 214390 272860 300146 428780 545720 600292 750365 857560 1200584 1500730 3001460 6002920 34984661 69969322 139938644 174923305 244892627 279877288 349846610 384831271 489785254 699693220 769662542 979570508 1224463135 1399386440 1539325084 1924156355 1959141016 2448926270 2693818897 3078650168 3848312710 4897852540 5387637794 7696625420 9795705080 10775275588 13469094485 15393250840 21550551176 26938188970 53876377940 68185104289 107752755880 136370208578 272740417156 340925521445 477295730023 545480834312 681851042890 750036147179 954591460046 1363702085780 1500072294358 1909182920092 2386478650115 2727404171560 3000144588716 3750180735895 3818365840184 4772957300230 5250253030253 6000289177432 7500361471790 9545914600460 10500506060506 15000722943580 19091829200920 21001012121012 26251265151265 30001445887160 42002024242024 52502530302530 105005060605060 210010121210120