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101001134224 = 2431203631319
BaseRepresentation
bin101111000010000100…
…0110000000010010000
3100122200221110020020001
41132010020300002100
53123322242243344
6114222124455344
710203621322114
oct1360410600220
9318627406201
10101001134224
113991a564061
12176a90aa554
1396a8055c63
144c61dc5744
152962091ed4
hex1784230090

101001134224 has 20 divisors (see below), whose sum is σ = 202002269440. Its totient is φ = 48871516320.

The previous prime is 101001134219. The next prime is 101001134291. The reversal of 101001134224 is 422431100101.

101001134224 is an admirable number.

It is a super-2 number, since 2×1010011342242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101815164 + ... + 101816155.

It is an arithmetic number, because the mean of its divisors is an integer number (10100113472).

Almost surely, 2101001134224 is an apocalyptic number.

It is an amenable number.

101001134224 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

101001134224 is a wasteful number, since it uses less digits than its factorization.

101001134224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203631358 (or 203631352 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101001134224 its reverse (422431100101), we get a palindrome (523432234325).

It can be divided in two parts, 101001 and 134224, that added together give a square (235225 = 4852).

The spelling of 101001134224 in words is "one hundred one billion, one million, one hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 203631319 407262638 814525276 1629050552 3258101104 6312570889 12625141778 25250283556 50500567112 101001134224