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212121020200110 = 23578358972063741
BaseRepresentation
bin110000001110110001000110…
…000011101111010010101110
31000211001120102121120022022120
4300032301012003233102232
5210300342322132400420
62031051015034253410
762452144424135010
oct6016610603572256
91024046377508276
10212121020200110
1161652023a1275a
121b95a584587266
139148c07326518
143a549d82341b0
15197cb4b7d6d40
hexc0ec460ef4ae

212121020200110 has 128 divisors (see below), whose sum is σ = 588927644089344. Its totient is φ = 47892504253440.

The previous prime is 212121020200097. The next prime is 212121020200123. The reversal of 212121020200110 is 11002020121212.

It is an interprime number because it is at equal distance from previous prime (212121020200097) and next prime (212121020200123).

It is a super-3 number, since 3×2121210202001103 (a number of 44 digits) contains 333 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 212121020200110.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101752840 + ... + 103816580.

It is an arithmetic number, because the mean of its divisors is an integer number (4600997219448).

Almost surely, 2212121020200110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212121020200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294463822044672).

212121020200110 is an abundant number, since it is smaller than the sum of its proper divisors (376806623889234).

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

212121020200110 is a wasteful number, since it uses less digits than its factorization.

212121020200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069738.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212121020200110 its reverse (11002020121212), we get a palindrome (223123040321322).

The spelling of 212121020200110 in words is "two hundred twelve trillion, one hundred twenty-one billion, twenty million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1162 1245 1743 2490 2905 3486 5810 5897 8715 11794 17430 17691 29485 35382 41279 58970 82558 88455 123837 176910 206395 247674 412790 489451 619185 978902 1238370 1468353 2063741 2447255 2936706 3426157 4127482 4894510 6191223 6852314 7341765 10278471 10318705 12382446 14446187 14683530 17130785 20556942 20637410 28892374 30956115 34261570 43338561 51392355 61912230 72230935 86677122 102784710 144461870 171290503 216692805 342581006 433385610 513871509 856452515 1027743018 1199033521 1712905030 2398067042 2569357545 3597100563 5138715090 5995167605 7194201126 11990335210 12169880677 17985502815 24339761354 35971005630 36509642031 60849403385 73019284062 85189164739 121698806770 170378329478 182548210155 255567494217 365096420310 425945823695 511134988434 851891647390 1010100096191 1277837471085 2020200192382 2555674942170 3030300288573 5050500480955 6060600577146 7070700673337 10101000961910 14141401346674 15151501442865 21212102020011 30303002885730 35353503366685 42424204040022 70707006733370 106060510100055 212121020200110