Search a number
-
+
121011001100 = 225211131839771
BaseRepresentation
bin111000010110011010…
…0010101011100001100
3102120100110112210021122
41300230310111130030
53440312304013400
6131331445420112
711512523352323
oct1605464253414
9376313483248
10121011001100
1147358612220
121b55240a638
13b5467a6982
145bdd7190ba
153233b0b685
hex1c2cd1570c

121011001100 has 72 divisors (see below), whose sum is σ = 288653150016. Its totient is φ = 43668040000.

The previous prime is 121011001063. The next prime is 121011001109. The reversal of 121011001100 is 1100110121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (121011001109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275786 + ... + 563985.

It is an arithmetic number, because the mean of its divisors is an integer number (4009071528).

Almost surely, 2121011001100 is an apocalyptic number.

121011001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121011001100 is an abundant number, since it is smaller than the sum of its proper divisors (167642148916).

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

121011001100 is a wasteful number, since it uses less digits than its factorization.

121011001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839927 (or 839920 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 121011001100 its reverse (1100110121), we get a palindrome (122111111221).

The spelling of 121011001100 in words is "one hundred twenty-one billion, eleven million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 131 220 262 275 524 550 655 1100 1310 1441 2620 2882 3275 5764 6550 7205 13100 14410 28820 36025 72050 144100 839771 1679542 3359084 4198855 8397710 9237481 16795420 18474962 20994275 36949924 41988550 46187405 83977100 92374810 110010001 184749620 220020002 230937025 440040004 461874050 550050005 923748100 1100100010 1210110011 2200200020 2420220022 2750250025 4840440044 5500500050 6050550055 11001000100 12101100110 24202200220 30252750275 60505500550 121011001100