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10301013430240 = 2551325719270079
BaseRepresentation
bin1001010111100110010000…
…1111110000111111100000
31100110202201100002212111211
42111321210033300333200
52322232433414231430
633524115323315504
72112136500315031
oct225714417607740
940422640085454
1010301013430240
1133116a9597475
1211a44a467bb94
135994c5c172a0
14278800ab6a88
1512ce4658772a
hex95e643f0fe0

10301013430240 has 96 divisors (see below), whose sum is σ = 26310133946880. Its totient is φ = 3788651495424.

The previous prime is 10301013430193. The next prime is 10301013430249. The reversal of 10301013430240 is 4203431010301.

It is a super-2 number, since 2×103010134302402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10301013430249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9100480 + ... + 10169599.

It is an arithmetic number, because the mean of its divisors is an integer number (274063895280).

Almost surely, 210301013430240 is an apocalyptic number.

10301013430240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301013430240 is an abundant number, since it is smaller than the sum of its proper divisors (16009120516640).

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

10301013430240 is a wasteful number, since it uses less digits than its factorization.

10301013430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19270364 (or 19270356 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 10301013430240 its reverse (4203431010301), we get a palindrome (14504444440541).

The spelling of 10301013430240 in words is "ten trillion, three hundred one billion, thirteen million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 257 260 416 514 520 1028 1040 1285 2056 2080 2570 3341 4112 5140 6682 8224 10280 13364 16705 20560 26728 33410 41120 53456 66820 106912 133640 267280 534560 19270079 38540158 77080316 96350395 154160632 192700790 250511027 308321264 385401580 501022054 616642528 770803160 1002044108 1252555135 1541606320 2004088216 2505110270 3083212640 4008176432 4952410303 5010220540 8016352864 9904820606 10020441080 19809641212 20040882160 24762051515 39619282424 40081764320 49524103030 64381333939 79238564848 99048206060 128762667878 158477129696 198096412120 257525335756 321906669695 396192824240 515050671512 643813339390 792385648480 1030101343024 1287626678780 2060202686048 2575253357560 5150506715120 10301013430240