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2250410131134 = 2321124162997487
BaseRepresentation
bin100000101111110110111…
…001010111111010111110
321222010200221200112020100
4200233312321113322332
5243332314443144014
64441454003101530
7321405155333304
oct40576671277276
97863627615210
102250410131134
1179843693a690
123041899718a6
1313429c5a0cb9
147acc5942274
153d811d0c009
hex20bf6e57ebe

2250410131134 has 96 divisors (see below), whose sum is σ = 5342783846400. Its totient is φ = 678914323200.

The previous prime is 2250410131091. The next prime is 2250410131141. The reversal of 2250410131134 is 4311310140522.

2250410131134 is a `hidden beast` number, since 2 + 2 + 504 + 10 + 13 + 1 + 134 = 666.

It is a super-2 number, since 2×22504101311342 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2250410131098 and 2250410131107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300571939 + ... + 300579425.

It is an arithmetic number, because the mean of its divisors is an integer number (55653998400).

Almost surely, 22250410131134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2250410131134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2671391923200).

2250410131134 is an abundant number, since it is smaller than the sum of its proper divisors (3092373715266).

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

2250410131134 is a wasteful number, since it uses less digits than its factorization.

2250410131134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14046 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 2250410131134 its reverse (4311310140522), we get a palindrome (6561720271656).

The spelling of 2250410131134 in words is "two trillion, two hundred fifty billion, four hundred ten million, one hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 241 482 723 1446 2169 2651 4338 5302 6299 7487 7953 12598 14974 15906 18897 22461 23859 37794 44922 47718 56691 67383 69289 82357 113382 134766 138578 164714 207867 247071 415734 494142 623601 741213 1247202 1482426 1518059 1804367 3036118 3608734 4554177 5413101 9108354 10826202 13662531 16239303 16698649 19848037 27325062 32478606 33397298 39696074 47160613 50095947 59544111 94321226 100191894 119088222 141481839 150287841 178632333 282963678 300575682 357264666 424445517 518766743 848891034 1037533486 1556300229 3112600458 4668900687 9337801374 11365707733 22731415466 34097123199 68194246398 102291369597 125022785063 204582739194 250045570126 375068355189 750136710378 1125205065567 2250410131134