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105014100352 = 277117203237
BaseRepresentation
bin110000111001101010…
…1000000000110000000
3101001001121120000212011
41201303111000012000
53210032102202402
6120124240342304
710405230060610
oct1416325000600
9331047500764
10105014100352
11405997a3997
1218429014994
139b97567325
145122d52a40
152ae9528ed7
hex1873540180

105014100352 has 32 divisors (see below), whose sum is σ = 239094605520. Its totient is φ = 45006042624.

The previous prime is 105014100343. The next prime is 105014100371. The reversal of 105014100352 is 253001410501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1050141003522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58600723 + ... + 58602514.

Almost surely, 2105014100352 is an apocalyptic number.

It is an amenable number.

105014100352 is an abundant number, since it is smaller than the sum of its proper divisors (134080505168).

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

105014100352 is an equidigital number, since it uses as much as digits as its factorization.

105014100352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117203258 (or 117203246 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 105014100352 its reverse (253001410501), we get a palindrome (358015510853).

The spelling of 105014100352 in words is "one hundred five billion, fourteen million, one hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 117203237 234406474 468812948 820422659 937625896 1640845318 1875251792 3281690636 3750503584 6563381272 7501007168 13126762544 15002014336 26253525088 52507050176 105014100352