Search a number
-
+
1003322002230 = 232519586738013
BaseRepresentation
bin11101001100110101010…
…01101100101100110110
310112220202020100121211200
432212122221230230312
5112414300413032410
62044530400313330
7132326153206512
oct16463251545466
93486666317750
101003322002230
11357563128389
1214254a612846
13737c75b2732
14367bd70d142
151b1732133c0
hexe99aa6cb36

1003322002230 has 48 divisors (see below), whose sum is σ = 2745933905520. Its totient is φ = 253470821184.

The previous prime is 1003322002229. The next prime is 1003322002231. The reversal of 1003322002230 is 322002233001.

It is a happy number.

1003322002230 is a `hidden beast` number, since 100 + 332 + 2 + 0 + 0 + 2 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (1003322002229) and next prime (1003322002231).

It is a super-2 number, since 2×10033220022302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003322002231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293367297 + ... + 293370716.

It is an arithmetic number, because the mean of its divisors is an integer number (57206956365).

Almost surely, 21003322002230 is an apocalyptic number.

1003322002230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1003322002230 is an abundant number, since it is smaller than the sum of its proper divisors (1742611903290).

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

1003322002230 is a wasteful number, since it uses less digits than its factorization.

1003322002230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586738045 (or 586738042 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 1003322002230 its reverse (322002233001), we get a palindrome (1325324235231).

The spelling of 1003322002230 in words is "one trillion, three billion, three hundred twenty-two million, two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 586738013 1173476026 1760214039 2933690065 3520428078 5280642117 5867380130 8801070195 10561284234 11148022247 17602140390 22296044494 26403210585 33444066741 52806421170 55740111235 66888133482 100332200223 111480222470 167220333705 200664400446 334440667410 501661001115 1003322002230