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100033141 = 1323734583
BaseRepresentation
bin1011111011001…
…10001001110101
320222020012200011
411331212021311
5201102030031
613532020221
72323160545
oct575461165
9228205604
10100033141
115151441a
1229601671
1317955910
14d3dd325
158bae6b1
hex5f66275

100033141 has 16 divisors (see below), whose sum is σ = 113976576. Its totient is φ = 87094656.

The previous prime is 100033133. The next prime is 100033147. The reversal of 100033141 is 141330001.

It is a cyclic number.

It is not a de Polignac number, because 100033141 - 23 = 100033133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100033147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19536 + ... + 24118.

It is an arithmetic number, because the mean of its divisors is an integer number (7123536).

Almost surely, 2100033141 is an apocalyptic number.

It is an amenable number.

100033141 is a deficient number, since it is larger than the sum of its proper divisors (13943435).

100033141 is a wasteful number, since it uses less digits than its factorization.

100033141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 100033141 is about 10001.6569127320. The cubic root of 100033141 is about 464.2101533297.

Adding to 100033141 its reverse (141330001), we get a palindrome (241363142).

The spelling of 100033141 in words is "one hundred million, thirty-three thousand, one hundred forty-one".

Divisors: 1 13 23 73 299 949 1679 4583 21827 59579 105409 334559 1370317 4349267 7694857 100033141