Search a number
-
+
103430252340 = 22325736977977
BaseRepresentation
bin110000001010011101…
…1000110011100110100
3100212222020021012211200
41200110323012130310
53143311121033330
6115303141132500
710321045432122
oct1402473063464
9325866235750
10103430252340
113a956754498
12180666ba130
1399a439835c
145012864912
152a5546aa60
hex1814ec6734

103430252340 has 72 divisors (see below), whose sum is σ = 313785031560. Its totient is φ = 27577304064.

The previous prime is 103430252333. The next prime is 103430252351. The reversal of 103430252340 is 43252034301.

103430252340 is a `hidden beast` number, since 10 + 3 + 4 + 302 + 5 + 2 + 340 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 36388614564 + 67041637776 = 190758^2 + 258924^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287432 + ... + 1365408.

Almost surely, 2103430252340 is an apocalyptic number.

103430252340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103430252340 is an abundant number, since it is smaller than the sum of its proper divisors (210354779220).

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

103430252340 is a wasteful number, since it uses less digits than its factorization.

103430252340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85361 (or 85356 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 103430252340 its reverse (43252034301), we get a palindrome (146682286641).

The spelling of 103430252340 in words is "one hundred three billion, four hundred thirty million, two hundred fifty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7369 14738 22107 29476 36845 44214 66321 73690 77977 88428 110535 132642 147380 155954 221070 233931 265284 311908 331605 389885 442140 467862 663210 701793 779770 935724 1169655 1326420 1403586 1559540 2339310 2807172 3508965 4678620 7017930 14035860 574612513 1149225026 1723837539 2298450052 2873062565 3447675078 5171512617 5746125130 6895350156 8619187695 10343025234 11492250260 17238375390 20686050468 25857563085 34476750780 51715126170 103430252340