Search a number
-
+
121123113320 = 23511299492407
BaseRepresentation
bin111000011001110000…
…0000000100101101000
3102120122021111200100002
41300303200000211220
53441030004111240
6131350532402132
711515354322156
oct1606340004550
9376567450302
10121123113320
1147405926850
121b583a76348
13b563a9b571
145c105803d6
15323d8a4d15
hex1c33800968

121123113320 has 64 divisors (see below), whose sum is σ = 307554019200. Its totient is φ = 42525978880.

The previous prime is 121123113317. The next prime is 121123113347. The reversal of 121123113320 is 23311321121.

It is a happy number.

It is a super-3 number, since 3×1211231133203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 121123113292 and 121123113301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4733444 + ... + 4758963.

It is an arithmetic number, because the mean of its divisors is an integer number (4805531550).

Almost surely, 2121123113320 is an apocalyptic number.

121123113320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121123113320 is an abundant number, since it is smaller than the sum of its proper divisors (186430905880).

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

121123113320 is a wasteful number, since it uses less digits than its factorization.

121123113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9492458 (or 9492454 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 121123113320 its reverse (23311321121), we get a palindrome (144434434441).

The spelling of 121123113320 in words is "one hundred twenty-one billion, one hundred twenty-three million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1595 2552 3190 6380 12760 9492407 18984814 37969628 47462035 75939256 94924070 104416477 189848140 208832954 275279803 379696280 417665908 522082385 550559606 835331816 1044164770 1101119212 1376399015 2088329540 2202238424 2752798030 3028077833 4176659080 5505596060 6056155666 11011192120 12112311332 15140389165 24224622664 30280778330 60561556660 121123113320