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133202144141 = 1199712145723
BaseRepresentation
bin111110000001101110…
…1110110101110001101
3110201211002100000120222
41330003131312232031
54140244222103031
6141105304121125
712423605354363
oct1740335665615
9421732300528
10133202144141
1151544157450
12219951661a5
13c73a414291
146638891633
1536e9036e7b
hex1f03776b8d

133202144141 has 8 divisors (see below), whose sum is σ = 145457190624. Its totient is φ = 120971391120.

The previous prime is 133202144111. The next prime is 133202144161. The reversal of 133202144141 is 141441202331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133202144141 - 210 = 133202143117 is a prime.

It is a super-3 number, since 3×1332021441413 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 133202144141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133202144111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6061895 + ... + 6083828.

It is an arithmetic number, because the mean of its divisors is an integer number (18182148828).

Almost surely, 2133202144141 is an apocalyptic number.

133202144141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133202144141 is a deficient number, since it is larger than the sum of its proper divisors (12255046483).

133202144141 is a wasteful number, since it uses less digits than its factorization.

133202144141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12146731.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 133202144141 its reverse (141441202331), we get a palindrome (274643346472).

The spelling of 133202144141 in words is "one hundred thirty-three billion, two hundred two million, one hundred forty-four thousand, one hundred forty-one".

Divisors: 1 11 997 10967 12145723 133602953 12109285831 133202144141