Search a number
-
+
123000423151300 = 225217421171860309
BaseRepresentation
bin11011111101111001000100…
…100001110111011011000100
3121010111201120222021121211221
4123331321010201313123010
5112110214331311320200
61113333340410010124
734623326102155432
oct3375710441673304
9533451528247757
10123000423151300
1136212206288802
1211966380a16944
135382b75815a56
142253376235d52
15e347cb0d291a
hex6fde448776c4

123000423151300 has 72 divisors (see below), whose sum is σ = 283282848502920. Its totient is φ = 46196050790400.

The previous prime is 123000423151279. The next prime is 123000423151303. The reversal of 123000423151300 is 3151324000321.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 74368684617984 + 48631738533316 = 8623728^2 + 6973646^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (123000423151303) 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, 85214455 + ... + 86645854.

It is an arithmetic number, because the mean of its divisors is an integer number (3934484006985).

Almost surely, 2123000423151300 is an apocalyptic number.

123000423151300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123000423151300 is an abundant number, since it is smaller than the sum of its proper divisors (160282425351620).

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

123000423151300 is a wasteful number, since it uses less digits than its factorization.

123000423151300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171860761 (or 171860754 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 123000423151300 its reverse (3151324000321), we get a palindrome (126151747151621).

The spelling of 123000423151300 in words is "one hundred twenty-three trillion, four hundred twenty-three million, one hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 421 425 842 850 1684 1700 2105 4210 7157 8420 10525 14314 21050 28628 35785 42100 71570 143140 178925 357850 715700 171860309 343720618 687441236 859301545 1718603090 2921625253 3437206180 4296507725 5843250506 8593015450 11686501012 14608126265 17186030900 29216252530 58432505060 72353190089 73040631325 144706380178 146081262650 289412760356 292162525300 361765950445 723531900890 1230004231513 1447063801780 1808829752225 2460008463026 3617659504450 4920016926052 6150021157565 7235319008900 12300042315130 24600084630260 30750105787825 61500211575650 123000423151300