Search a number
-
+
121121011100110 = 25721745731816931
BaseRepresentation
bin11011100010100010101110…
…110101110110100111001110
3120212212001111111221021112011
4123202202232311312213032
5111333421312320200420
61105334120243131434
734340463365260300
oct3342425665664716
9525761444837464
10121121011100110
113565815016974a
1211702091673b7a
13527787c205258
1421ca406c19970
15e0097e9e795a
hex6e28aed769ce

121121011100110 has 96 divisors (see below), whose sum is σ = 269118555880608. Its totient is φ = 38998901975040.

The previous prime is 121121011100099. The next prime is 121121011100113. The reversal of 121121011100110 is 11001110121121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121011100113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12101656 + ... + 19715275.

It is an arithmetic number, because the mean of its divisors is an integer number (2803318290423).

Almost surely, 2121121011100110 is an apocalyptic number.

121121011100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121121011100110 is an abundant number, since it is smaller than the sum of its proper divisors (147997544780498).

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

121121011100110 is a wasteful number, since it uses less digits than its factorization.

121121011100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31817426 (or 31817419 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 121121011100110 its reverse (11001110121121), we get a palindrome (132122121221231).

The spelling of 121121011100110 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, eleven million, one hundred thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 457 490 595 833 914 1190 1666 2285 3199 4165 4570 6398 7769 8330 15538 15995 22393 31990 38845 44786 54383 77690 108766 111965 223930 271915 380681 543830 761362 1903405 3806810 31816931 63633862 159084655 222718517 318169310 445437034 540887827 1081775654 1113592585 1559029619 2227185170 2704439135 3118059238 3786214789 5408878270 7572429578 7795148095 14540337467 15590296190 18931073945 26503503523 29080674934 37862147890 53007007046 72701687335 101782362269 132517517615 145403374670 203564724538 247185736939 265035035230 494371473878 508911811345 712476535883 1017823622690 1235928684695 1424953071766 1730300158573 2471857369390 3460600317146 3562382679415 7124765358830 8651500792865 12112101110011 17303001585730 24224202220022 60560505550055 121121011100110