Search a number
-
+
121101002201112 = 233137140926139961
BaseRepresentation
bin11011100010010000000110…
…001101111101100000011000
3120212210010212001122220010220
4123202100012031331200120
5111333104323030413422
61105321010555040040
734336154504400633
oct3342200615754030
9525703761586126
10121101002201112
113564a71271178a
12116ba228740020
135275a10a32c4b
1421c9469698c1a
15e001ad0bee5c
hex6e240637d818

121101002201112 has 64 divisors (see below), whose sum is σ = 305178828357600. Its totient is φ = 40043909283840.

The previous prime is 121101002201111. The next prime is 121101002201129. The reversal of 121101002201112 is 211102200101121.

It is a happy number.

It is a super-2 number, since 2×1211010022011122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 121101002201091 and 121101002201100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101002201111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8437189 + ... + 17702772.

Almost surely, 2121101002201112 is an apocalyptic number.

121101002201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121101002201112 is an abundant number, since it is smaller than the sum of its proper divisors (184077826156488).

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

121101002201112 is a wasteful number, since it uses less digits than its factorization.

121101002201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26141516 (or 26141512 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121101002201112 its reverse (211102200101121), we get a palindrome (332203202302233).

The spelling of 121101002201112 in words is "one hundred twenty-one trillion, one hundred one billion, two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 137 274 411 548 822 1096 1409 1644 2818 3288 4227 5636 8454 11272 16908 33816 193033 386066 579099 772132 1158198 1544264 2316396 4632792 26139961 52279922 78419883 104559844 156839766 209119688 313679532 627359064 3581174657 7162349314 10743523971 14324698628 21487047942 28649397256 36831205049 42974095884 73662410098 85948191768 110493615147 147324820196 220987230294 294649640392 441974460588 883948921176 5045875091713 10091750183426 15137625275139 20183500366852 30275250550278 40367000733704 60550501100556 121101002201112