Search a number
-
+
10525131153200 = 2452173152097271
BaseRepresentation
bin1001100100101001001010…
…1101000001111100110000
31101021012012111010211020202
42121022102231001330300
52334420432033400300
634215102320054332
72134262363451116
oct231122255017460
941235174124222
1010525131153200
113398757167914
12121ba111643a8
135b4691a40141
142855c1cb9ab6
15133bb2003ad5
hex99292b41f30

10525131153200 has 60 divisors (see below), whose sum is σ = 25432793240208. Its totient is φ = 4185716870400.

The previous prime is 10525131153193. The next prime is 10525131153233. The reversal of 10525131153200 is 235113152501.

It is a super-2 number, since 2×105251311532002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75979436 + ... + 76117835.

Almost surely, 210525131153200 is an apocalyptic number.

10525131153200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10525131153200 is an abundant number, since it is smaller than the sum of its proper divisors (14907662087008).

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

10525131153200 is a wasteful number, since it uses less digits than its factorization.

10525131153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152097462 (or 152097451 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 10525131153200 in words is "ten trillion, five hundred twenty-five billion, one hundred thirty-one million, one hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 173 200 346 400 692 865 1384 1730 2768 3460 4325 6920 8650 13840 17300 34600 69200 152097271 304194542 608389084 760486355 1216778168 1520972710 2433556336 3041945420 3802431775 6083890840 7604863550 12167781680 15209727100 26312827883 30419454200 52625655766 60838908400 105251311532 131564139415 210502623064 263128278830 421005246128 526256557660 657820697075 1052513115320 1315641394150 2105026230640 2631282788300 5262565576600 10525131153200