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10041201030 = 2357237318313
BaseRepresentation
bin10010101101000000…
…01001000110000110
3221220210021212022110
421112200021012012
5131031021413110
64340213441450
7503554541400
oct112640110606
927823255273
1010041201030
114292aa5a53
121b42940286
13c403b4893
146b3809b70
153db7eaa20
hex256809186

10041201030 has 96 divisors (see below), whose sum is σ = 28110085344. Its totient is φ = 2288853504.

The previous prime is 10041201017. The next prime is 10041201031. The reversal of 10041201030 is 3010214001.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10041200997 and 10041201015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041201031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539154 + ... + 557466.

It is an arithmetic number, because the mean of its divisors is an integer number (292813389).

Almost surely, 210041201030 is an apocalyptic number.

10041201030 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 10041201030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055042672).

10041201030 is an abundant number, since it is smaller than the sum of its proper divisors (18068884314).

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

10041201030 is a wasteful number, since it uses less digits than its factorization.

10041201030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18710 (or 18703 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10041201030 its reverse (3010214001), we get a palindrome (13051415031).

The spelling of 10041201030 in words is "ten billion, forty-one million, two hundred one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 373 490 735 746 1119 1470 1865 2238 2611 3730 5222 5595 7833 11190 13055 15666 18277 18313 26110 36554 36626 39165 54831 54939 78330 91385 91565 109662 109878 128191 182770 183130 256382 274155 274695 384573 548310 549390 640955 769146 897337 1281910 1794674 1922865 2692011 3845730 4486685 5384022 6830749 8973370 13460055 13661498 20492247 26920110 34153745 40984494 47815243 68307490 95630486 102461235 143445729 204922470 239076215 286891458 334706701 478152430 669413402 717228645 1004120103 1434457290 1673533505 2008240206 3347067010 5020600515 10041201030