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33131220201 = 3229126939541
BaseRepresentation
bin11110110110110001…
…100100110011101001
310011111222020100222200
4132312301210303221
51020323043021301
623115325010413
72252010503502
oct366661446351
9104458210880
1033131220201
111306178a122
1265076b3a09
133180001611
14186424bba9
15cdd98cc86
hex7b6c64ce9

33131220201 has 12 divisors (see below), whose sum is σ = 49506421380. Its totient is φ = 21325842720.

The previous prime is 33131220191. The next prime is 33131220217. The reversal of 33131220201 is 10202213133.

33131220201 is a `hidden beast` number, since 331 + 312 + 2 + 0 + 20 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11160866025 + 21970354176 = 105645^2 + 148224^2 .

It is not a de Polignac number, because 33131220201 - 223 = 33122831593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (33131220301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63469510 + ... + 63470031.

It is an arithmetic number, because the mean of its divisors is an integer number (4125535115).

Almost surely, 233131220201 is an apocalyptic number.

It is an amenable number.

33131220201 is a deficient number, since it is larger than the sum of its proper divisors (16375201179).

33131220201 is a wasteful number, since it uses less digits than its factorization.

33131220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126939576 (or 126939573 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 33131220201 its reverse (10202213133), we get a palindrome (43333433334).

The spelling of 33131220201 in words is "thirty-three billion, one hundred thirty-one million, two hundred twenty thousand, two hundred one".

Divisors: 1 3 9 29 87 261 126939541 380818623 1142455869 3681246689 11043740067 33131220201