Search a number
-
+
122001020100 = 22335259765857
BaseRepresentation
bin111000110011111010…
…0111101010011000100
3102122220110102222001000
41301213310331103010
53444324230120400
6132014013133300
711546204363151
oct1614764752304
9378813388030
10122001020100
1147816439143
121b789a8a230
13b67392ab2b
145c94dc9228
1532909ba600
hex1c67d3d4c4

122001020100 has 144 divisors (see below), whose sum is σ = 398858846400. Its totient is φ = 31982146560.

The previous prime is 122001020039. The next prime is 122001020101. The reversal of 122001020100 is 1020100221.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (122001020101) 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, 223629 + ... + 542228.

It is an arithmetic number, because the mean of its divisors is an integer number (2769853100).

Almost surely, 2122001020100 is an apocalyptic number.

122001020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001020100 is an abundant number, since it is smaller than the sum of its proper divisors (276857826300).

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

122001020100 is a wasteful number, since it uses less digits than its factorization.

122001020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765939 (or 765926 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122001020100 its reverse (1020100221), we get a palindrome (123021120321).

The spelling of 122001020100 in words is "one hundred twenty-two billion, one million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 59 60 75 90 100 108 118 135 150 177 180 225 236 270 295 300 354 450 531 540 590 675 708 885 900 1062 1180 1350 1475 1593 1770 2124 2655 2700 2950 3186 3540 4425 5310 5900 6372 7965 8850 10620 13275 15930 17700 26550 31860 39825 53100 79650 159300 765857 1531714 2297571 3063428 3829285 4595142 6892713 7658570 9190284 11487855 13785426 15317140 19146425 20678139 22975710 27570852 34463565 38292850 41356278 45185563 45951420 57439275 68927130 76585700 82712556 90371126 103390695 114878550 135556689 137854260 172317825 180742252 206781390 225927815 229757100 271113378 344635650 406670067 413562780 451855630 516953475 542226756 677783445 689271300 813340134 903711260 1033906950 1129639075 1220010201 1355566890 1626680268 2033350335 2067813900 2259278150 2440020402 2711133780 3388917225 4066700670 4518556300 4880040804 6100051005 6777834450 8133401340 10166751675 12200102010 13555668900 20333503350 24400204020 30500255025 40667006700 61000510050 122001020100