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210111112120 = 23573131178017
BaseRepresentation
bin1100001110101110011…
…0010010001110111000
3202002100000010101210111
43003223212102032320
511420301421041440
6240305042154104
721115514662000
oct3035346221670
9662300111714
10210111112120
1181120277408
1234879952934
1316a76040c60
14a252cc9000
1556eae7e4ea
hex30eb9923b8

210111112120 has 128 divisors (see below), whose sum is σ = 593721072000. Its totient is φ = 66496647168.

The previous prime is 210111112117. The next prime is 210111112129. The reversal of 210111112120 is 21211111012.

It is a happy number.

210111112120 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 (13).

It is a self number, because there is not a number n which added to its sum of digits gives 210111112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210111112129) by changing a digit.

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, 410649 + ... + 767368.

It is an arithmetic number, because the mean of its divisors is an integer number (4638445875).

Almost surely, 2210111112120 is an apocalyptic number.

210111112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210111112120 is an abundant number, since it is smaller than the sum of its proper divisors (383609959880).

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

210111112120 is a wasteful number, since it uses less digits than its factorization.

210111112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178062 (or 1178044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 210111112120 its reverse (21211111012), we get a palindrome (231322223132).

The spelling of 210111112120 in words is "two hundred ten billion, one hundred eleven million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 343 364 392 455 490 520 637 686 728 910 980 1274 1372 1715 1820 1960 2548 2744 3185 3430 3640 4459 5096 6370 6860 8918 12740 13720 17836 22295 25480 35672 44590 89180 178360 1178017 2356034 4712068 5890085 8246119 9424136 11780170 15314221 16492238 23560340 30628442 32984476 41230595 47120680 57722833 61256884 65968952 76571105 82461190 107199547 115445666 122513768 153142210 164922380 214399094 230891332 288614165 306284420 329844760 404059831 428798188 461782664 535997735 577228330 612568840 750396829 808119662 857596376 1071995470 1154456660 1500793658 1616239324 2020299155 2143990940 2308913320 3001587316 3232478648 3751984145 4040598310 4287981880 5252777803 6003174632 7503968290 8081196620 10505555606 15007936580 16162393240 21011111212 26263889015 30015873160 42022222424 52527778030 105055556060 210111112120