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10303242040 = 2357134365827
BaseRepresentation
bin10011001100001111…
…01111111100111000
3222121001100221000001
421212013233330320
5132100112221130
64422214122344
7513216053350
oct114607577470
928531327001
1010303242040
114407a03273
121bb66503b4
13c82781b30
146da53bb60
1540480c6ca
hex2661eff38

10303242040 has 128 divisors (see below), whose sum is σ = 29196034560. Its totient is φ = 3184925184.

The previous prime is 10303241987. The next prime is 10303242073. The reversal of 10303242040 is 4024230301.

It is a junction number, because it is equal to n+sod(n) for n = 10303241999 and 10303242017.

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, 123607 + ... + 189433.

It is an arithmetic number, because the mean of its divisors is an integer number (228094020).

Almost surely, 210303242040 is an apocalyptic number.

10303242040 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 10303242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14598017280).

10303242040 is an abundant number, since it is smaller than the sum of its proper divisors (18892792520).

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

10303242040 is a wasteful number, since it uses less digits than its factorization.

10303242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65901 (or 65897 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 10303242040 its reverse (4024230301), we get a palindrome (14327472341).

The spelling of 10303242040 in words is "ten billion, three hundred three million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 43 52 56 65 70 86 91 104 130 140 172 182 215 260 280 301 344 364 430 455 520 559 602 728 860 910 1118 1204 1505 1720 1820 2236 2408 2795 3010 3640 3913 4472 5590 6020 7826 11180 12040 15652 19565 22360 31304 39130 65827 78260 131654 156520 263308 329135 460789 526616 658270 855751 921578 1316540 1711502 1843156 2303945 2633080 2830561 3423004 3686312 4278755 4607890 5661122 5990257 6846008 8557510 9215780 11322244 11980514 14152805 17115020 18431560 19813927 22644488 23961028 28305610 29951285 34230040 36797293 39627854 47922056 56611220 59902570 73594586 79255708 99069635 113222440 119805140 147189172 158511416 183986465 198139270 239610280 257581051 294378344 367972930 396278540 515162102 735945860 792557080 1030324204 1287905255 1471891720 2060648408 2575810510 5151621020 10303242040