Search a number
-
+
121022022110100 = 223523115186179607
BaseRepresentation
bin11011100001000110100010…
…101000110100101110010100
3120212111120222210200120020220
4123201012202220310232110
5111330311100130010400
61105220425513354340
734330360345606626
oct3341064250645624
9525446883616226
10121022022110100
113561a1734973a1
12116a6a664089b0
13526b434cb9197
1421c56d6170c16
15ded0d94167a0
hex6e11a2a34b94

121022022110100 has 144 divisors (see below), whose sum is σ = 363846168354816. Its totient is φ = 31024658160000.

The previous prime is 121022022110089. The next prime is 121022022110111. The reversal of 121022022110100 is 1011220220121.

It is an interprime number because it is at equal distance from previous prime (121022022110089) and next prime (121022022110111).

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 121022022110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41685504 + ... + 44494103.

It is an arithmetic number, because the mean of its divisors is an integer number (2526709502464).

Almost surely, 2121022022110100 is an apocalyptic number.

121022022110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121022022110100 is an abundant number, since it is smaller than the sum of its proper divisors (242824146244716).

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

121022022110100 is a wasteful number, since it uses less digits than its factorization.

121022022110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86179806 (or 86179799 counting only the distinct ones).

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

Adding to 121022022110100 its reverse (1011220220121), we get a palindrome (122033242330221).

The spelling of 121022022110100 in words is "one hundred twenty-one trillion, twenty-two billion, twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 151 155 186 300 302 310 372 453 465 604 620 755 775 906 930 1510 1550 1812 1860 2265 2325 3020 3100 3775 4530 4650 4681 7550 9060 9300 9362 11325 14043 15100 18724 22650 23405 28086 45300 46810 56172 70215 93620 117025 140430 234050 280860 351075 468100 702150 1404300 86179607 172359214 258538821 344718428 430898035 517077642 861796070 1034155284 1292694105 1723592140 2154490175 2585388210 2671567817 4308980350 5170776420 5343135634 6463470525 8014703451 8617960700 10686271268 12926941050 13013120657 13357839085 16029406902 25853882100 26026241314 26715678170 32058813804 39039361971 40073517255 52052482628 53431356340 65065603285 66789195425 78078723942 80147034510 130131206570 133578390850 156157447884 160294069020 195196809855 200367586275 260262413140 267156781700 325328016425 390393619710 400735172550 403406740367 650656032850 780787239420 801470345100 806813480734 975984049275 1210220221101 1301312065700 1613626961468 1951968098550 2017033701835 2420440442202 3903936197100 4034067403670 4840880884404 6051101105505 8068134807340 10085168509175 12102202211010 20170337018350 24204404422020 30255505527525 40340674036700 60511011055050 121022022110100