Search a number
-
+
121111212100131 = 33112225531832291
BaseRepresentation
bin11011100010011001100110…
…110001101000101000100011
3120212211010012121101111121000
4123202121212301220220203
5111333241230244201011
61105325420040403043
734336665511166241
oct3342314661505043
9525733177344530
10121111212100131
1135653a8195aa60
12117001b7a76483
13527697a062306
1421c9b57659791
15e005a95e0356
hex6e2666c68a23

121111212100131 has 32 divisors (see below), whose sum is σ = 195736278608640. Its totient is φ = 73400364734400.

The previous prime is 121111212100111. The next prime is 121111212100147. The reversal of 121111212100131 is 131001212111121.

121111212100131 is a `hidden beast` number, since 1 + 211 + 11 + 212 + 100 + 131 = 666.

It is not a de Polignac number, because 121111212100131 - 225 = 121111178545699 is a prime.

It is a super-2 number, since 2×1211112121001312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121111212100111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65182096 + ... + 67014386.

It is an arithmetic number, because the mean of its divisors is an integer number (6116758706520).

Almost surely, 2121111212100131 is an apocalyptic number.

121111212100131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121111212100131 is a deficient number, since it is larger than the sum of its proper divisors (74625066508509).

121111212100131 is a wasteful number, since it uses less digits than its factorization.

121111212100131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054864 (or 2054858 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 18.

Adding to 121111212100131 its reverse (131001212111121), we get a palindrome (252112424211252).

The spelling of 121111212100131 in words is "one hundred twenty-one trillion, one hundred eleven billion, two hundred twelve million, one hundred thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 222553 667659 1832291 2002977 2448083 5496873 6008931 7344249 16490619 20155201 22032747 49471857 60465603 66098241 181396809 544190427 407781858923 1223345576769 3670036730307 4485600448153 11010110190921 13456801344459 40370404033377 121111212100131