Search a number
-
+
1000223013030 = 235732113216149
BaseRepresentation
bin11101000111000011110…
…11111111100010100110
310112121202021001122211220
432203201323333202212
5112341424042404110
62043255054241210
7132156313221543
oct16434173774246
93477667048756
101000223013030
113562128a698a
12141a247b6206
137342254c807
14365a7cd9bca
151b041119370
hexe8e1eff8a6

1000223013030 has 64 divisors (see below), whose sum is σ = 2434582180800. Its totient is φ = 262946635776.

The previous prime is 1000223013011. The next prime is 1000223013067. The reversal of 1000223013030 is 303103220001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4519396 + ... + 4735544.

It is an arithmetic number, because the mean of its divisors is an integer number (38040346575).

Almost surely, 21000223013030 is an apocalyptic number.

1000223013030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000223013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217291090400).

1000223013030 is an abundant number, since it is smaller than the sum of its proper divisors (1434359167770).

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

1000223013030 is a wasteful number, since it uses less digits than its factorization.

1000223013030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218345.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 1000223013030 its reverse (303103220001), we get a palindrome (1303326233031).

The spelling of 1000223013030 in words is "one trillion, two hundred twenty-three million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 730 1095 2113 2190 4226 6339 10565 12678 21130 31695 63390 154249 216149 308498 432298 462747 648447 771245 925494 1080745 1296894 1542490 2161490 2313735 3242235 4627470 6484470 15778877 31557754 47336631 78894385 94673262 157788770 236683155 456722837 473366310 913445674 1370168511 2283614185 2740337022 4567228370 6850842555 13701685110 33340767101 66681534202 100022301303 166703835505 200044602606 333407671010 500111506515 1000223013030