Search a number
-
+
120101110100224 = 281185349999463
BaseRepresentation
bin11011010011101100111000…
…000000010011000100000000
3120202020112221212021022102021
4123103230320000103010000
5111220214033141201344
61103233404401131224
734204006316643361
oct3323547000230400
9522215855238367
10120101110100224
11352a465a693010
1211578496929b14
135202641c15446
142192cd36dbb68
15dd418b06db84
hex6d3b38013100

120101110100224 has 72 divisors (see below), whose sum is σ = 261833593113792. Its totient is φ = 54527413278720.

The previous prime is 120101110100207. The next prime is 120101110100287. The reversal of 120101110100224 is 422001011101021.

It is a super-2 number, since 2×1201011101002242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120101110100198 and 120101110100207.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22597684 + ... + 27401779.

It is an arithmetic number, because the mean of its divisors is an integer number (3636577682136).

Almost surely, 2120101110100224 is an apocalyptic number.

It is an amenable number.

120101110100224 is an abundant number, since it is smaller than the sum of its proper divisors (141732483013568).

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

120101110100224 is an equidigital number, since it uses as much as digits as its factorization.

120101110100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50000343 (or 50000329 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 120101110100224 its reverse (422001011101021), we get a palindrome (542102121201245).

The spelling of 120101110100224 in words is "one hundred twenty trillion, one hundred one billion, one hundred ten million, one hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 853 1408 1706 2816 3412 6824 9383 13648 18766 27296 37532 54592 75064 109184 150128 218368 300256 600512 1201024 2402048 49999463 99998926 199997852 399995704 549994093 799991408 1099988186 1599982816 2199976372 3199965632 4399952744 6399931264 8799905488 12799862528 17599810976 35199621952 42649541939 70399243904 85299083878 140798487808 170598167756 341196335512 469144961329 682392671024 938289922658 1364785342048 1876579845316 2729570684096 3753159690632 5459141368192 7506319381264 10918282736384 15012638762528 30025277525056 60050555050112 120101110100224