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35201100040 = 235880027501
BaseRepresentation
bin100000110010001001…
…100010100100001000
310100212020002011022221
4200302021202210020
51034042440200130
624100545423424
72354213261551
oct406211424410
9110766064287
1035201100040
1113a24115517
1269a493ab74
13341caa48a2
1419bd0d7328
15db055587a
hex832262908

35201100040 has 16 divisors (see below), whose sum is σ = 79202475180. Its totient is φ = 14080440000.

The previous prime is 35201100029. The next prime is 35201100041. The reversal of 35201100040 is 4000110253.

It can be written as a sum of positive squares in 2 ways, for example, as 34974236196 + 226863844 = 187014^2 + 15062^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35201099987 and 35201100023.

It is not an unprimeable number, because it can be changed into a prime (35201100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 440013711 + ... + 440013790.

Almost surely, 235201100040 is an apocalyptic number.

It is an amenable number.

35201100040 is an abundant number, since it is smaller than the sum of its proper divisors (44001375140).

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

35201100040 is a wasteful number, since it uses less digits than its factorization.

35201100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880027512 (or 880027508 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 35201100040 its reverse (4000110253), we get a palindrome (39201210293).

The spelling of 35201100040 in words is "thirty-five billion, two hundred one million, one hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 880027501 1760055002 3520110004 4400137505 7040220008 8800275010 17600550020 35201100040