Search a number
-
+
110011102211120 = 245114310727170749
BaseRepresentation
bin11001000000110111110100…
…101010110010110000110000
3112102111221212212022112122112
4121000313310222302300300
5103404410214131223440
61025550222550424452
732113016444664155
oct3100676452626060
9472457785275575
10110011102211120
11320644a023a790
1210408a7b662128
134950005434b56
141d247cc61a22c
15cab994241965
hex640df4ab2c30

110011102211120 has 160 divisors (see below), whose sum is σ = 288185581728000. Its totient is φ = 38708534430720.

The previous prime is 110011102211113. The next prime is 110011102211141. The reversal of 110011102211120 is 21112201110011.

It is a junction number, because it is equal to n+sod(n) for n = 110011102211095 and 110011102211104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9536495 + ... + 17634254.

It is an arithmetic number, because the mean of its divisors is an integer number (1801159885800).

Almost surely, 2110011102211120 is an apocalyptic number.

110011102211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110011102211120 is an abundant number, since it is smaller than the sum of its proper divisors (178174479516880).

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

110011102211120 is a wasteful number, since it uses less digits than its factorization.

110011102211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27170923 (or 27170917 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 110011102211120 its reverse (21112201110011), we get a palindrome (131123303321131).

The spelling of 110011102211120 in words is "one hundred ten trillion, eleven billion, one hundred two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 43 44 55 80 86 88 107 110 172 176 214 215 220 344 428 430 440 473 535 688 856 860 880 946 1070 1177 1712 1720 1892 2140 2354 2365 3440 3784 4280 4601 4708 4730 5885 7568 8560 9202 9416 9460 11770 18404 18832 18920 23005 23540 36808 37840 46010 47080 50611 73616 92020 94160 101222 184040 202444 253055 368080 404888 506110 809776 1012220 2024440 4048880 27170749 54341498 108682996 135853745 217365992 271707490 298878239 434731984 543414980 597756478 1086829960 1168342207 1195512956 1494391195 2173659920 2336684414 2391025912 2907270143 2988782390 4673368828 4782051824 5814540286 5841711035 5977564780 9346737656 11629080572 11683422070 11955129560 12851764277 14536350715 18693475312 23258161144 23366844140 23910259120 25703528554 29072701430 31979971573 46516322288 46733688280 51407057108 58145402860 63959943146 64258821385 93467376560 102814114216 116290805720 125012616149 127919886292 128517642770 159899857865 205628228432 232581611440 250025232298 255839772584 257035285540 319799715730 500050464596 511679545168 514070571080 625063080745 639599431460 1000100929192 1028141142160 1250126161490 1279198862920 1375138777639 2000201858384 2500252322980 2558397725840 2750277555278 5000504645960 5500555110556 6875693888195 10001009291920 11001110221112 13751387776390 22002220442224 27502775552780 55005551105560 110011102211120