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2135100525 = 352239311383
BaseRepresentation
bin111111101000011…
…0000110001101101
312111210120100022020
41333100300301231
513333041204100
6551510340353
7103624024605
oct17720606155
95453510266
102135100525
119a6232698
124b705a6b9
1328045a5bc
141637c5c05
15c769c5a0
hex7f430c6d

2135100525 has 48 divisors (see below), whose sum is σ = 3565486080. Its totient is φ = 1127358400.

The previous prime is 2135100523. The next prime is 2135100551. The reversal of 2135100525 is 5250015312.

It is a happy number.

It is not a de Polignac number, because 2135100525 - 21 = 2135100523 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2135100495 and 2135100504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135100523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5574484 + ... + 5574866.

It is an arithmetic number, because the mean of its divisors is an integer number (74280960).

Almost surely, 22135100525 is an apocalyptic number.

2135100525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2135100525 is a deficient number, since it is larger than the sum of its proper divisors (1430385555).

2135100525 is a wasteful number, since it uses less digits than its factorization.

2135100525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2135100525 is about 46207.1479859989. The cubic root of 2135100525 is about 1287.6745407008.

Adding to 2135100525 its reverse (5250015312), we get a palindrome (7385115837).

The spelling of 2135100525 in words is "two billion, one hundred thirty-five million, one hundred thousand, five hundred twenty-five".

Divisors: 1 3 5 15 25 75 239 311 383 717 933 1149 1195 1555 1915 3585 4665 5745 5975 7775 9575 17925 23325 28725 74329 91537 119113 222987 274611 357339 371645 457685 595565 1114935 1373055 1786695 1858225 2288425 2977825 5574675 6865275 8933475 28468007 85404021 142340035 427020105 711700175 2135100525