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10540035252 = 223432530973
BaseRepresentation
bin10011101000011110…
…00010110010110100
31000012112221021020000
421310033002302310
5133041222112002
64501513311300
7522122551515
oct116417026264
930175837200
1010540035252
11451963653a
122061a05530
13cbc84c166
1471db7aa0c
1541a4d361c
hex2743c2cb4

10540035252 has 30 divisors (see below), whose sum is σ = 27553734978. Its totient is φ = 3513344976.

The previous prime is 10540035227. The next prime is 10540035277. The reversal of 10540035252 is 25253004501.

It is a happy number.

10540035252 is a `hidden beast` number, since 1 + 0 + 5 + 400 + 3 + 5 + 252 = 666.

It is an interprime number because it is at equal distance from previous prime (10540035227) and next prime (10540035277).

It can be written as a sum of positive squares in only one way, i.e., 10353876516 + 186158736 = 101754^2 + 13644^2 .

It is a super-2 number, since 2×105400352522 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 16265163 + ... + 16265810.

Almost surely, 210540035252 is an apocalyptic number.

10540035252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10540035252 is an abundant number, since it is smaller than the sum of its proper divisors (17013699726).

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

10540035252 is a wasteful number, since it uses less digits than its factorization.

10540035252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32530989 (or 32530978 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 10540035252 its reverse (25253004501), we get a palindrome (35793039753).

The spelling of 10540035252 in words is "ten billion, five hundred forty million, thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 32530973 65061946 97592919 130123892 195185838 292778757 390371676 585557514 878336271 1171115028 1756672542 2635008813 3513345084 5270017626 10540035252