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1033414041132 = 223311869877139
BaseRepresentation
bin11110000100111000100…
…01101101111000101100
310122210102101211120212000
433002130101231320230
5113412412443304012
62110424401212300
7134442651262404
oct17023421557054
93583371746760
101033414041132
113692a5315620
12148348331090
13765b1a61805
1438036075804
151bd34e6cddc
hexf09c46de2c

1033414041132 has 48 divisors (see below), whose sum is σ = 2922787190400. Its totient is φ = 313155769680.

The previous prime is 1033414041061. The next prime is 1033414041137. The reversal of 1033414041132 is 2311404143301.

1033414041132 is a `hidden beast` number, since 103 + 3 + 4 + 140 + 411 + 3 + 2 = 666.

1033414041132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1033414041096 and 1033414041105.

It is not an unprimeable number, because it can be changed into a prime (1033414041137) 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, 434937382 + ... + 434939757.

It is an arithmetic number, because the mean of its divisors is an integer number (60891399800).

Almost surely, 21033414041132 is an apocalyptic number.

1033414041132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1033414041132 is an abundant number, since it is smaller than the sum of its proper divisors (1889373149268).

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

1033414041132 is a wasteful number, since it uses less digits than its factorization.

1033414041132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869877163 (or 869877155 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1033414041132 its reverse (2311404143301), we get a palindrome (3344818184433).

The spelling of 1033414041132 in words is "one trillion, thirty-three billion, four hundred fourteen million, forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 869877139 1739754278 2609631417 3479508556 5219262834 7828894251 9568648529 10438525668 15657788502 19137297058 23486682753 28705945587 31315577004 38274594116 46973365506 57411891174 86117836761 93946731012 114823782348 172235673522 258353510283 344471347044 516707020566 1033414041132