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33144020120 = 2356011378703
BaseRepresentation
bin11110110111100010…
…011001110010011000
310011112212022200011202
4132313202121302120
51020334332120440
623120503213332
72252224344161
oct366742316230
9104485280152
1033144020120
1113068a31972
12650ba47248
133182863733
141865c20768
15cdeb6a615
hex7b7899c98

33144020120 has 32 divisors (see below), whose sum is σ = 74698182720. Its totient is φ = 13235539200.

The previous prime is 33144020093. The next prime is 33144020123. The reversal of 33144020120 is 2102044133.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 33144020092 and 33144020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33144020123) 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 7 ways as a sum of consecutive naturals, for example, 665312 + ... + 713391.

It is an arithmetic number, because the mean of its divisors is an integer number (2334318210).

Almost surely, 233144020120 is an apocalyptic number.

It is an amenable number.

33144020120 is an abundant number, since it is smaller than the sum of its proper divisors (41554162600).

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

33144020120 is a wasteful number, since it uses less digits than its factorization.

33144020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379315 (or 1379311 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 33144020120 its reverse (2102044133), we get a palindrome (35246064253).

The spelling of 33144020120 in words is "thirty-three billion, one hundred forty-four million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 601 1202 2404 3005 4808 6010 12020 24040 1378703 2757406 5514812 6893515 11029624 13787030 27574060 55148120 828600503 1657201006 3314402012 4143002515 6628804024 8286005030 16572010060 33144020120