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101002222012 = 22435937926261
BaseRepresentation
bin101111000010000110…
…0111001100110111100
3100122201000111111101111
41132010030321212330
53123323032101022
6114222204051404
710203633502366
oct1360414714674
9318630444344
10101002222012
113992013735a
12176a9533b64
1396a8347113
144c621c9d36
152962209477
hex17843399bc

101002222012 has 48 divisors (see below), whose sum is σ = 184422268800. Its totient is φ = 48360836160.

The previous prime is 101002222007. The next prime is 101002222031. The reversal of 101002222012 is 210222200101.

It is a happy number.

It is a super-2 number, since 2×1010022220122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002221983 and 101002222001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3832962 + ... + 3859222.

It is an arithmetic number, because the mean of its divisors is an integer number (3842130600).

Almost surely, 2101002222012 is an apocalyptic number.

It is an amenable number.

101002222012 is a deficient number, since it is larger than the sum of its proper divisors (83420046788).

101002222012 is a wasteful number, since it uses less digits than its factorization.

101002222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26746 (or 26744 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101002222012 its reverse (210222200101), we get a palindrome (311224422113).

The spelling of 101002222012 in words is "one hundred one billion, two million, two hundred twenty-two thousand, twelve".

Divisors: 1 2 4 43 59 86 118 172 236 379 758 1516 2537 5074 10148 16297 22361 26261 32594 44722 52522 65188 89444 105044 961523 1129223 1549399 1923046 2258446 3098798 3846092 4516892 6197596 9952919 19905838 39811676 66624157 133248314 266496628 427975517 587222221 855951034 1174444442 1711902068 2348888884 25250555503 50501111006 101002222012