Search a number
-
+
10011001222340 = 22579151190122073
BaseRepresentation
bin1001000110101101111000…
…1010111111010011000100
31022110001010212222020210122
42101223132022333103010
52303010012303103330
633142553535241112
72052161641240646
oct221533612772304
938401125866718
1010011001222340
11320a707227208
121158248079198
135780583c0341
1426876c23a896
15125620b745e5
hex91ade2bf4c4

10011001222340 has 96 divisors (see below), whose sum is σ = 21442450498560. Its totient is φ = 3925284480000.

The previous prime is 10011001222333. The next prime is 10011001222427. The reversal of 10011001222340 is 4322210011001.

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, 453529544 + ... + 453551616.

It is an arithmetic number, because the mean of its divisors is an integer number (223358859360).

Almost surely, 210011001222340 is an apocalyptic number.

10011001222340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011001222340 is an abundant number, since it is smaller than the sum of its proper divisors (11431449276220).

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

10011001222340 is a wasteful number, since it uses less digits than its factorization.

10011001222340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24213 (or 24211 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10011001222340 its reverse (4322210011001), we get a palindrome (14333211233341).

The spelling of 10011001222340 in words is "ten trillion, eleven billion, one million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 79 151 158 302 316 395 604 755 790 1510 1580 1901 3020 3802 7604 9505 11929 19010 22073 23858 38020 44146 47716 59645 88292 110365 119290 150179 220730 238580 287051 300358 441460 574102 600716 750895 1148204 1435255 1501790 1743767 2870510 3003580 3333023 3487534 5741020 6666046 6975068 8718835 13332092 16665115 17437670 22677029 33330230 34875340 41960773 45354058 66660460 83921546 90708116 113385145 167843092 209803865 226770290 263308817 419607730 453540580 526617634 839215460 1053235268 1316544085 2633088170 3314901067 5266176340 6336076723 6629802134 12672153446 13259604268 16574505335 25344306892 31680383615 33149010670 63360767230 66298021340 126721534460 500550061117 1001100122234 2002200244468 2502750305585 5005500611170 10011001222340