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10315201520 = 24513171933023
BaseRepresentation
bin10011001101101010…
…10111101111110000
3222121212212112022202
421212311113233300
5132111142422040
64423322322332
7513422523551
oct114665275760
928555775282
1010315201520
114413731638
121bba6593a8
13c850ab550
146dbd72328
154058c1015
hex266d57bf0

10315201520 has 160 divisors (see below), whose sum is σ = 27497740032. Its totient is φ = 3564896256.

The previous prime is 10315201447. The next prime is 10315201541. The reversal of 10315201520 is 2510251301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10315201492 and 10315201501.

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, 3410729 + ... + 3413751.

Almost surely, 210315201520 is an apocalyptic number.

10315201520 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 10315201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13748870016).

10315201520 is an abundant number, since it is smaller than the sum of its proper divisors (17182538512).

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

10315201520 is a wasteful number, since it uses less digits than its factorization.

10315201520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3253 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 10315201520 its reverse (2510251301), we get a palindrome (12825452821).

The spelling of 10315201520 in words is "ten billion, three hundred fifteen million, two hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 193 208 221 260 272 340 386 442 520 680 772 884 965 1040 1105 1360 1544 1768 1930 2210 2509 3023 3088 3281 3536 3860 4420 5018 6046 6562 7720 8840 10036 12092 12545 13124 15115 15440 16405 17680 20072 24184 25090 26248 30230 32810 39299 40144 42653 48368 50180 51391 52496 60460 65620 78598 85306 100360 102782 120920 131240 157196 170612 196495 200720 205564 213265 241840 256955 262480 314392 341224 392990 411128 426530 513910 583439 628784 668083 682448 785980 822256 853060 1027820 1166878 1336166 1571960 1706120 2055640 2333756 2672332 2917195 3143920 3340415 3412240 4111280 4667512 5344664 5834390 6680830 7584707 9335024 9918463 10689328 11668780 13361660 15169414 19836926 23337560 26723320 30338828 37923535 39673852 46675120 49592315 53446640 60677656 75847070 79347704 99184630 121355312 128940019 151694140 158695408 198369260 257880038 303388280 396738520 515760076 606776560 644700095 793477040 1031520152 1289400190 2063040304 2578800380 5157600760 10315201520