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10200258315 = 3451317113963
BaseRepresentation
bin10010111111111101…
…11001011100001011
3222022212120210220000
421133332321130023
5131342231231230
64404054534043
7510525523302
oct113776713413
928285523800
1010200258315
114364864055
121b88067323
13c67335210
146ca9b1439
153ea768b60
hex25ffb970b

10200258315 has 80 divisors (see below), whose sum is σ = 20849941728. Its totient is φ = 4726232064.

The previous prime is 10200258269. The next prime is 10200258329. The reversal of 10200258315 is 51385200201.

It is a happy number.

It is not a de Polignac number, because 10200258315 - 26 = 10200258251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32524 + ... + 146486.

Almost surely, 210200258315 is an apocalyptic number.

10200258315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10200258315 is an abundant number, since it is smaller than the sum of its proper divisors (10649683413).

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

10200258315 is a wasteful number, since it uses less digits than its factorization.

10200258315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114010 (or 114001 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 10200258315 its reverse (51385200201), we get a palindrome (61585458516).

The spelling of 10200258315 in words is "ten billion, two hundred million, two hundred fifty-eight thousand, three hundred fifteen".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 255 351 405 459 585 663 765 1053 1105 1377 1755 1989 2295 3315 5265 5967 6885 9945 17901 29835 89505 113963 341889 569815 1025667 1481519 1709445 1937371 3077001 4444557 5128335 5812113 7407595 9231003 9686855 13333671 15385005 17436339 22222785 25185823 29060565 40001013 46155015 52309017 66668355 75557469 87181695 120003039 125929115 156927051 200005065 226672407 261545085 377787345 600015195 680017221 784635255 1133362035 2040051663 3400086105 10200258315