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45036213100 = 22524710194873
BaseRepresentation
bin101001111100010111…
…100001001101101100
311022020122120200002121
4221330113201031230
51214213232304400
632404522202324
73153016331554
oct517427411554
9138218520077
1045036213100
111811084a52a
12888a6533a4
134329580108
1422733b8164
151288be321a
hexa7c5e136c

45036213100 has 72 divisors (see below), whose sum is σ = 100797173568. Its totient is φ = 17456448000.

The previous prime is 45036213097. The next prime is 45036213107. The reversal of 45036213100 is 131263054.

It is a super-2 number, since 2×450362131002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45036213107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 427264 + ... + 522136.

It is an arithmetic number, because the mean of its divisors is an integer number (1399960744).

Almost surely, 245036213100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45036213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50398586784).

45036213100 is an abundant number, since it is smaller than the sum of its proper divisors (55760960468).

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

45036213100 is a wasteful number, since it uses less digits than its factorization.

45036213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95035 (or 95028 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 45036213100 its reverse (131263054), we get a palindrome (45167476154).

The spelling of 45036213100 in words is "forty-five billion, thirty-six million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 101 188 202 235 404 470 505 940 1010 1175 2020 2350 2525 4700 4747 5050 9494 10100 18988 23735 47470 94873 94940 118675 189746 237350 379492 474365 474700 948730 1897460 2371825 4459031 4743650 8918062 9487300 9582173 17836124 19164346 22295155 38328692 44590310 47910865 89180620 95821730 111475775 191643460 222951550 239554325 445903100 450362131 479108650 900724262 958217300 1801448524 2251810655 4503621310 9007242620 11259053275 22518106550 45036213100