Search a number
-
+
101000011000030 = 2583891811754979
BaseRepresentation
bin10110111101101111100101…
…110001110010100011011110
3111020121111200102102210222021
4112331233211301302203132
5101214241010304000110
6554450433045010354
730163003266324322
oct2675574561624336
9436544612383867
10101000011000030
112a1aa9561655aa
12b3b258b3b39ba
13444834c79357c
141ad25d88bd982
15ba2396eaa2da
hex5bdbe5c728de

101000011000030 has 64 divisors (see below), whose sum is σ = 186160673260800. Its totient is φ = 39442949835520.

The previous prime is 101000011000019. The next prime is 101000011000037. The reversal of 101000011000030 is 30000110000101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101000010999977 and 101000011000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000011000037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133401081 + ... + 134156059.

It is an arithmetic number, because the mean of its divisors is an integer number (2908760519700).

Almost surely, 2101000011000030 is an apocalyptic number.

101000011000030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101000011000030 is a deficient number, since it is larger than the sum of its proper divisors (85160662260770).

101000011000030 is a wasteful number, since it uses less digits than its factorization.

101000011000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756969.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 101000011000030 its reverse (30000110000101), we get a palindrome (131000121000131).

The spelling of 101000011000030 in words is "one hundred one trillion, eleven million, thirty", and thus it is an aban number.

Divisors: 1 2 5 10 83 89 166 178 415 445 830 890 1811 3622 7387 9055 14774 18110 36935 73870 150313 161179 300626 322358 751565 754979 805895 1503130 1509958 1611790 3774895 7549790 13377857 26755714 62663257 66889285 67193131 125326514 133778570 134386262 313316285 335965655 626632570 671931310 1367266969 2734533938 5577029873 6836334845 11154059746 13672669690 27885149365 55770298730 113483158427 121686760241 226966316854 243373520482 567415792135 608433801205 1134831584270 1216867602410 10100001100003 20200002200006 50500005500015 101000011000030