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10041303220 = 2251359743881
BaseRepresentation
bin10010101101000001…
…00010000010110100
3221220210111001111021
421112200202002310
5131031033200340
64340215550524
7503555445334
oct112640420264
927823431437
1010041303220
114293065803
121b4298b444
13c4041c250
146b38350c4
153db81ae4a
hex2568220b4

10041303220 has 96 divisors (see below), whose sum is σ = 23151018240. Its totient is φ = 3635681280.

The previous prime is 10041303211. The next prime is 10041303241. The reversal of 10041303220 is 2230314001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10041303194 and 10041303203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11397180 + ... + 11398060.

It is an arithmetic number, because the mean of its divisors is an integer number (241156440).

Almost surely, 210041303220 is an apocalyptic number.

10041303220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11575509120).

10041303220 is an abundant number, since it is smaller than the sum of its proper divisors (13109715020).

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

10041303220 is a wasteful number, since it uses less digits than its factorization.

10041303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10041303220 its reverse (2230314001), we get a palindrome (12271617221).

The spelling of 10041303220 in words is "ten billion, forty-one million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 743 767 881 1180 1486 1534 1762 2972 3068 3524 3715 3835 4405 7430 7670 8810 9659 11453 14860 15340 17620 19318 22906 38636 43837 45812 48295 51979 57265 87674 96590 103958 114530 175348 193180 207916 219185 229060 259895 438370 519790 569881 654583 675727 876740 1039580 1139762 1309166 1351454 2279524 2618332 2702908 2849405 3272915 3378635 5698810 6545830 6757270 8509579 11397620 13091660 13514540 17019158 34038316 38620397 42547895 77240794 85095790 154481588 170191580 193101985 386203970 502065161 772407940 1004130322 2008260644 2510325805 5020651610 10041303220