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11023633133142 = 2372171889218137
BaseRepresentation
bin1010000001101010001110…
…1111001010111001010110
31110000211220221120020021220
42200122203233022321112
52421102400040230032
635240104231351210
72215300622410200
oct240324357127126
943024827506256
1011023633133142
113570107577703
1212a0554522506
1361c6a770cbc6
142a1792193770
15141b3b37e12c
hexa06a3bcae56

11023633133142 has 48 divisors (see below), whose sum is σ = 25647086720880. Its totient is φ = 3149576704512.

The previous prime is 11023633133129. The next prime is 11023633133143. The reversal of 11023633133142 is 24133133632011.

It is a happy number.

11023633133142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110236331331422 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023633133143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50426298 + ... + 50644434.

It is an arithmetic number, because the mean of its divisors is an integer number (534314306685).

Almost surely, 211023633133142 is an apocalyptic number.

11023633133142 is an abundant number, since it is smaller than the sum of its proper divisors (14623453587738).

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

11023633133142 is a wasteful number, since it uses less digits than its factorization.

11023633133142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390045 (or 390038 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

Adding to 11023633133142 its reverse (24133133632011), we get a palindrome (35156766765153).

It can be divided in two parts, 1102363 and 3133142, that added together give a triangular number (4235505 = T2910).

The spelling of 11023633133142 in words is "eleven trillion, twenty-three billion, six hundred thirty-three million, one hundred thirty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 171889 218137 343778 436274 515667 654411 1031334 1203223 1308822 1526959 2406446 3053918 3609669 4580877 7219338 8422561 9161754 10688713 16845122 21377426 25267683 32066139 50535366 64132278 37495350793 74990701586 112486052379 224972104758 262467455551 524934911102 787402366653 1574804733306 1837272188857 3674544377714 5511816566571 11023633133142