Search a number
-
+
1003222223320 = 23517227228631
BaseRepresentation
bin11101001100101001011…
…01000100100111011000
310112220111021121022220111
432212110231010213120
5112414044342121240
62044512433534104
7132323532125062
oct16462455044730
93486437538814
101003222223320
11357511877a79
12142521114334
13737aca18765
14367b0378732
151b1695a41ea
hexe994b449d8

1003222223320 has 96 divisors (see below), whose sum is σ = 2400688406880. Its totient is φ = 376006722560.

The previous prime is 1003222223309. The next prime is 1003222223347. The reversal of 1003222223320 is 233222223001.

It is a junction number, because it is equal to n+sod(n) for n = 1003222223291 and 1003222223300.

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 23 ways as a sum of consecutive naturals, for example, 35025405 + ... + 35054035.

It is an arithmetic number, because the mean of its divisors is an integer number (25007170905).

Almost surely, 21003222223320 is an apocalyptic number.

1003222223320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003222223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200344203440).

1003222223320 is an abundant number, since it is smaller than the sum of its proper divisors (1397466183560).

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

1003222223320 is a wasteful number, since it uses less digits than its factorization.

1003222223320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29113 (or 28882 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 1003222223320 its reverse (233222223001), we get a palindrome (1236444446321).

The spelling of 1003222223320 in words is "one trillion, three billion, two hundred twenty-two million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 227 340 454 680 908 1135 1816 2270 3859 4540 7718 9080 15436 19295 28631 30872 38590 51529 57262 77180 103058 114524 143155 154360 206116 229048 257645 286310 412232 486727 515290 572620 875993 973454 1030580 1145240 1751986 1946908 2061160 2433635 3503972 3893816 4379965 4867270 6499237 7007944 8759930 9734540 12998474 17519860 19469080 25996948 32496185 35039720 51993896 64992370 110487029 129984740 220974058 259969480 441948116 552435145 883896232 1104870290 1475326799 2209740580 2950653598 4419481160 5901307196 7376633995 11802614392 14753267990 25080555583 29506535980 50161111166 59013071960 100322222332 125402777915 200644444664 250805555830 501611111660 1003222223320