Search a number
-
+
10111111001010 = 233583451187461
BaseRepresentation
bin1001001100100010110100…
…1011011111001110110010
31022210121112201011221002000
42103020231023133032302
52311130023404013020
633300551423234430
72062334520306615
oct223105513371662
938717481157060
1010111111001010
113249109622688
121173726748a16
13584620888476
1426d547ab617c
1512802e846090
hex9322d2df3b2

10111111001010 has 64 divisors (see below), whose sum is σ = 27287817701760. Its totient is φ = 2663810763840.

The previous prime is 10111111000993. The next prime is 10111111001077. The reversal of 10111111001010 is 1010011111101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10111111000983 and 10111111001001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225571321 + ... + 225616140.

It is an arithmetic number, because the mean of its divisors is an integer number (426372151590).

Almost surely, 210111111001010 is an apocalyptic number.

10111111001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10111111001010 is an abundant number, since it is smaller than the sum of its proper divisors (17176706700750).

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

10111111001010 is a wasteful number, since it uses less digits than its factorization.

10111111001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451187560 (or 451187554 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 10111111001010 its reverse (1010011111101), we get a palindrome (11121122112111).

The spelling of 10111111001010 in words is "ten trillion, one hundred eleven billion, one hundred eleven million, one thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 415 498 747 830 1245 1494 2241 2490 3735 4482 7470 11205 22410 451187461 902374922 1353562383 2255937305 2707124766 4060687149 4511874610 6767811915 8121374298 12182061447 13535623830 20303435745 24364122894 37448559263 40606871490 60910307235 74897118526 112345677789 121820614470 187242796315 224691355578 337037033367 374485592630 561728388945 674074066734 1011111100101 1123456777890 1685185166835 2022222200202 3370370333670 5055555500505 10111111001010