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10301023200520 = 2351335385365789
BaseRepresentation
bin1001010111100110010011…
…0101000010010100001000
31100110202202000111020211001
42111321210311002110020
52322232443414404040
633524120312544344
72112136646336563
oct225714465022410
940422660436731
1010301023200520
11331170405aa88
1211a44a79b20b4
135994c7c58410
142788020db4da
1512ce4736759a
hex95e64d42508

10301023200520 has 128 divisors (see below), whose sum is σ = 25060605746400. Its totient is φ = 3788176195584.

The previous prime is 10301023200509. The next prime is 10301023200577. The reversal of 10301023200520 is 2500232010301.

It can be written as a sum of positive squares in 16 ways, for example, as 192476993284 + 10108546207236 = 438722^2 + 3179394^2 .

It is a super-2 number, since 2×103010232005202 (a number of 27 digits) contains 22 as substring.

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, 156543786 + ... + 156609574.

Almost surely, 210301023200520 is an apocalyptic number.

10301023200520 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 10301023200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12530302873200).

10301023200520 is an abundant number, since it is smaller than the sum of its proper divisors (14759582545880).

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

10301023200520 is a wasteful number, since it uses less digits than its factorization.

10301023200520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67019 (or 67015 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 10301023200520 its reverse (2500232010301), we get a palindrome (12801255210821).

The spelling of 10301023200520 in words is "ten trillion, three hundred one billion, twenty-three million, two hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 353 520 706 853 1412 1706 1765 2824 3412 3530 4265 4589 6824 7060 8530 9178 11089 14120 17060 18356 22178 22945 34120 36712 44356 45890 55445 65789 88712 91780 110890 131578 183560 221780 263156 301109 328945 443560 526312 602218 657890 855257 1204436 1315780 1505545 1710514 2408872 2631560 3011090 3421028 3914417 4276285 6022180 6842056 7828834 8552570 12044360 15657668 17105140 19572085 23223517 31315336 34210280 39144170 46447034 56118017 78288340 92894068 112236034 116117585 156576680 185788136 224472068 232235170 280590085 301905721 448944136 464470340 561180170 603811442 729534221 928940680 1122360340 1207622884 1459068442 1509528605 2244720680 2415245768 2918136884 3019057210 3647671105 5836273768 6038114420 7295342210 12076228840 14590684420 19809660001 29181368840 39619320002 79238640004 99048300005 158477280008 198096600010 257525580013 396193200020 515051160026 792386400040 1030102320052 1287627900065 2060204640104 2575255800130 5150511600260 10301023200520