Search a number
-
+
1003423224402 = 234139106141999
BaseRepresentation
bin11101001101000001010…
…11110101001001010010
310112221000021211020120000
432212200223311021102
5112420002321140102
62044544414030430
7132331522452054
oct16464053651122
93487007736500
101003423224402
11357605284075
121425784a8416
1373812563601
14367ccd3b8d4
151b17c05a01c
hexe9a0af5252

1003423224402 has 80 divisors (see below), whose sum is σ = 2266775280000. Its totient is φ = 331747241760.

The previous prime is 1003423224383. The next prime is 1003423224403. The reversal of 1003423224402 is 2044223243001.

1003423224402 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 4 + 232 + 24 + 402 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1003423224403) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 23870599 + ... + 23912597.

It is an arithmetic number, because the mean of its divisors is an integer number (28334691000).

Almost surely, 21003423224402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003423224402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133387640000).

1003423224402 is an abundant number, since it is smaller than the sum of its proper divisors (1263352055598).

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

1003423224402 is a wasteful number, since it uses less digits than its factorization.

1003423224402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43213 (or 43204 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 1003423224402 its reverse (2044223243001), we get a palindrome (3047646467403).

The spelling of 1003423224402 in words is "one trillion, three billion, four hundred twenty-three million, two hundred twenty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 139 162 278 417 834 1061 1251 2122 2502 3183 3753 6366 7506 9549 11259 19098 22518 28647 41999 57294 83998 85941 125997 147479 171882 251994 294958 377991 442437 755982 884874 1133973 1327311 2267946 2654622 3401919 3981933 5837861 6803838 7963866 11675722 11945799 17513583 23891598 35027166 44560939 52540749 89121878 105081498 133682817 157622247 267365634 315244494 401048451 472866741 802096902 945733482 1203145353 2406290706 3609436059 6193970521 7218872118 12387941042 18581911563 37163823126 55745734689 111491469378 167237204067 334474408134 501711612201 1003423224402