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103225400550 = 23252457501947
BaseRepresentation
bin110000000100010110…
…1101001110011100110
3100212102221210200000100
41200020231221303212
53142401200304200
6115230542324530
710313010266436
oct1401055516346
9325387720010
10103225400550
113a861058298
1218009b89746
139970b0288c
144dd357c2c6
152a424a3d00
hex1808b69ce6

103225400550 has 72 divisors (see below), whose sum is σ = 277939650456. Its totient is φ = 27466485120.

The previous prime is 103225400533. The next prime is 103225400563. The reversal of 103225400550 is 55004522301.

It is a happy number.

103225400550 is a `hidden beast` number, since 103 + 2 + 2 + 5 + 4 + 0 + 0 + 550 = 666.

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 35 ways as a sum of consecutive naturals, for example, 45324 + ... + 456623.

It is an arithmetic number, because the mean of its divisors is an integer number (3860272923).

Almost surely, 2103225400550 is an apocalyptic number.

103225400550 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 103225400550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138969825228).

103225400550 is an abundant number, since it is smaller than the sum of its proper divisors (174714249906).

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

103225400550 is a wasteful number, since it uses less digits than its factorization.

103225400550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502422 (or 502414 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 103225400550 its reverse (55004522301), we get a palindrome (158229922851).

The spelling of 103225400550 in words is "one hundred three billion, two hundred twenty-five million, four hundred thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 457 914 1371 2285 2742 4113 4570 6855 8226 11425 13710 20565 22850 34275 41130 68550 102825 205650 501947 1003894 1505841 2509735 3011682 4517523 5019470 7529205 9035046 12548675 15058410 22587615 25097350 37646025 45175230 75292050 112938075 225876150 229389779 458779558 688169337 1146948895 1376338674 2064508011 2293897790 3440846685 4129016022 5734744475 6881693370 10322540055 11469488950 17204233425 20645080110 34408466850 51612700275 103225400550