Search a number
-
+
121002231300111 = 32722279531268341
BaseRepresentation
bin11011100000110100000111…
…000000111000000000001111
3120212102200220112210020202100
4123200310013000320000033
5111330000032203100421
61105203354015530143
734326060043524300
oct3340640700700017
9525380815706670
10121002231300111
1135611838057987
12116a3062529953
1352695cca65825
1421c47799807a7
15dec82bc1cc26
hex6e0d0703800f

121002231300111 has 72 divisors (see below), whose sum is σ = 204426787382064. Its totient is φ = 68767243695360.

The previous prime is 121002231300091. The next prime is 121002231300113. The reversal of 121002231300111 is 111003132200121.

121002231300111 is a `hidden beast` number, since 1 + 21 + 0 + 0 + 2 + 231 + 300 + 111 = 666.

It is not a de Polignac number, because 121002231300111 - 26 = 121002231300047 is a prime.

It is a super-2 number, since 2×1210022313001112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002231300113) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94767801 + ... + 96036141.

It is an arithmetic number, because the mean of its divisors is an integer number (2839260935862).

Almost surely, 2121002231300111 is an apocalyptic number.

121002231300111 is a deficient number, since it is larger than the sum of its proper divisors (83424556081953).

121002231300111 is a wasteful number, since it uses less digits than its factorization.

121002231300111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269541 (or 1269531 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121002231300111 its reverse (111003132200121), we get a palindrome (232005363500232).

The spelling of 121002231300111 in words is "one hundred twenty-one trillion, two billion, two hundred thirty-one million, three hundred thousand, one hundred eleven".

Divisors: 1 3 7 9 21 49 63 147 227 441 681 953 1589 2043 2859 4767 6671 8577 11123 14301 20013 33369 46697 60039 100107 140091 216331 420273 648993 1268341 1514317 1946979 3805023 4542951 8878387 10600219 11415069 13628853 26635161 31800657 62148709 79905483 95401971 186446127 287913407 559338381 863740221 1208728973 2015393849 2591220663 3626186919 6046181547 8461102811 10878560757 14107756943 18138544641 25383308433 42323270829 59227719677 76149925299 126969812487 177683159031 274381476871 533049477093 823144430613 1920670338097 2469433291839 5762011014291 13444692366679 17286033042873 40334077100037 121002231300111