Search a number
-
+
10311303122320 = 245739174413111
BaseRepresentation
bin1001011000001100100110…
…0011110100110110010000
31100111202021102222101110111
42112003021203310312100
52322420022044403240
633532540335211104
72112652463255224
oct226031143646620
940452242871414
1010311303122320
113315aa9885422
1211a6496676a94
1359a475933795
142790d94c8784
1512d349aba1ea
hex960c98f4d90

10311303122320 has 40 divisors (see below), whose sum is σ = 24006220735680. Its totient is φ = 4118940005760.

The previous prime is 10311303122303. The next prime is 10311303122359. The reversal of 10311303122320 is 2322130311301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10311303122291 and 10311303122300.

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 7 ways as a sum of consecutive naturals, for example, 87147436 + ... + 87265675.

It is an arithmetic number, because the mean of its divisors is an integer number (600155518392).

Almost surely, 210311303122320 is an apocalyptic number.

10311303122320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10311303122320 is an abundant number, since it is smaller than the sum of its proper divisors (13694917613360).

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

10311303122320 is a wasteful number, since it uses less digits than its factorization.

10311303122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174413863 (or 174413857 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10311303122320 its reverse (2322130311301), we get a palindrome (12633433433621).

The spelling of 10311303122320 in words is "ten trillion, three hundred eleven billion, three hundred three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 739 1478 2956 3695 5912 7390 11824 14780 29560 59120 174413111 348826222 697652444 872065555 1395304888 1744131110 2790609776 3488262220 6976524440 13953048880 128891289029 257782578058 515565156116 644456445145 1031130312232 1288912890290 2062260624464 2577825780580 5155651561160 10311303122320